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Page 1 Fractions Tamanna is a student of Grade 5. She has two chocolates of different sizes. She says that 1 3 of one of her chocolates is bigger than 1 2 of the other chocolate. Is that correct? Explain why this is so. When can we say that 1 2 of something is greater than 1 3 of something? To compare two fractions of two wholes, the wholes from which the fractions are derived must be the same. A B C Playing with a Grid ? Shade 1 8 of Grid A in red. ? Shade 1 6 of Grid B in blue. ? Shade 1 12 of Grid C in yellow. ? Do you see 1 3 in any of the grids? Mark it. 2 2 Chapter Chapter Identify 1 2 of the chocolate Identify 1 3 of the chocolate Chapter-2 Fraction.indd 17 Chapter-2 Fraction.indd 17 7/2/2025 3:30:30 PM 7/2/2025 3:30:30 PM Page 2 Fractions Tamanna is a student of Grade 5. She has two chocolates of different sizes. She says that 1 3 of one of her chocolates is bigger than 1 2 of the other chocolate. Is that correct? Explain why this is so. When can we say that 1 2 of something is greater than 1 3 of something? To compare two fractions of two wholes, the wholes from which the fractions are derived must be the same. A B C Playing with a Grid ? Shade 1 8 of Grid A in red. ? Shade 1 6 of Grid B in blue. ? Shade 1 12 of Grid C in yellow. ? Do you see 1 3 in any of the grids? Mark it. 2 2 Chapter Chapter Identify 1 2 of the chocolate Identify 1 3 of the chocolate Chapter-2 Fraction.indd 17 Chapter-2 Fraction.indd 17 7/2/2025 3:30:30 PM 7/2/2025 3:30:30 PM 18 Fun with Fraction Kit Gurpreet is playing with his fraction kit (a kit is given at the end of the textbook). Do you remember how to make a whole with pieces of the same size? How many 1 5 pieces will you need to make a whole? He makes a whole using two different fraction pieces. The whole looks like the following. One piece of 1 2 and two pieces of 1 4 make a whole. What is the relation between 1 2 and 1 4 ? Discuss in class. 1 2 = 2 4 ( 1 2 is equivalent to 2 4 ). When a 1 2 piece is broken into 2 equal parts, each part is a 1 4 piece. 2 pieces of 1 4 are equal to 1 2 . What else is equivalent to 1 2 ? 1 2 = 2 4 = ____ = ____ = ____ 1 2 1 4 1 4 Is 1 3 equal to 2 6 ? Let us find out. Look at the picture and identify the fractions. Are there two different ways to write the fraction represented by the shaded part? ___________________ Do you see that 1 3 = 2 6 ? Yes. These are called ‘equivalent fractions’. Let us see how equivalent fractions can be generated. Chapter-2 Fraction.indd 18 Chapter-2 Fraction.indd 18 7/2/2025 3:30:30 PM 7/2/2025 3:30:30 PM Page 3 Fractions Tamanna is a student of Grade 5. She has two chocolates of different sizes. She says that 1 3 of one of her chocolates is bigger than 1 2 of the other chocolate. Is that correct? Explain why this is so. When can we say that 1 2 of something is greater than 1 3 of something? To compare two fractions of two wholes, the wholes from which the fractions are derived must be the same. A B C Playing with a Grid ? Shade 1 8 of Grid A in red. ? Shade 1 6 of Grid B in blue. ? Shade 1 12 of Grid C in yellow. ? Do you see 1 3 in any of the grids? Mark it. 2 2 Chapter Chapter Identify 1 2 of the chocolate Identify 1 3 of the chocolate Chapter-2 Fraction.indd 17 Chapter-2 Fraction.indd 17 7/2/2025 3:30:30 PM 7/2/2025 3:30:30 PM 18 Fun with Fraction Kit Gurpreet is playing with his fraction kit (a kit is given at the end of the textbook). Do you remember how to make a whole with pieces of the same size? How many 1 5 pieces will you need to make a whole? He makes a whole using two different fraction pieces. The whole looks like the following. One piece of 1 2 and two pieces of 1 4 make a whole. What is the relation between 1 2 and 1 4 ? Discuss in class. 1 2 = 2 4 ( 1 2 is equivalent to 2 4 ). When a 1 2 piece is broken into 2 equal parts, each part is a 1 4 piece. 2 pieces of 1 4 are equal to 1 2 . What else is equivalent to 1 2 ? 1 2 = 2 4 = ____ = ____ = ____ 1 2 1 4 1 4 Is 1 3 equal to 2 6 ? Let us find out. Look at the picture and identify the fractions. Are there two different ways to write the fraction represented by the shaded part? ___________________ Do you see that 1 3 = 2 6 ? Yes. These are called ‘equivalent fractions’. Let us see how equivalent fractions can be generated. Chapter-2 Fraction.indd 18 Chapter-2 Fraction.indd 18 7/2/2025 3:30:30 PM 7/2/2025 3:30:30 PM 19 1. In groups of 3 or 4, find different ways of making a whole with different fraction pieces from your kit. Write the equivalent fractions for the following that you may find in the process. (a) 1 3 = = = (b) 1 4 = = = (c) 1 5 = = = (d) 1 6 = = = Do you see how to generate equivalent fractions for any given fraction? Discuss in class. 2. Find the following using your kit. You can also shade and check by shading the following. The first one is partially done for you. A. How many 1 6 s make 1 3 ? The shaded part is 1 3 . Identify 1 6 in the same whole and find how many 1 6 s fit into 1 3 ? B. How many 1 8 s make (a) 1 4 ? (b) 1 2 ? C. How many 1 12 s make (a) 1 2 (b) 1 3 (c) 1 4 (d) 1 6 ? Let Us Do Chapter-2 Fraction.indd 19 Chapter-2 Fraction.indd 19 7/2/2025 3:30:30 PM 7/2/2025 3:30:30 PM Page 4 Fractions Tamanna is a student of Grade 5. She has two chocolates of different sizes. She says that 1 3 of one of her chocolates is bigger than 1 2 of the other chocolate. Is that correct? Explain why this is so. When can we say that 1 2 of something is greater than 1 3 of something? To compare two fractions of two wholes, the wholes from which the fractions are derived must be the same. A B C Playing with a Grid ? Shade 1 8 of Grid A in red. ? Shade 1 6 of Grid B in blue. ? Shade 1 12 of Grid C in yellow. ? Do you see 1 3 in any of the grids? Mark it. 2 2 Chapter Chapter Identify 1 2 of the chocolate Identify 1 3 of the chocolate Chapter-2 Fraction.indd 17 Chapter-2 Fraction.indd 17 7/2/2025 3:30:30 PM 7/2/2025 3:30:30 PM 18 Fun with Fraction Kit Gurpreet is playing with his fraction kit (a kit is given at the end of the textbook). Do you remember how to make a whole with pieces of the same size? How many 1 5 pieces will you need to make a whole? He makes a whole using two different fraction pieces. The whole looks like the following. One piece of 1 2 and two pieces of 1 4 make a whole. What is the relation between 1 2 and 1 4 ? Discuss in class. 1 2 = 2 4 ( 1 2 is equivalent to 2 4 ). When a 1 2 piece is broken into 2 equal parts, each part is a 1 4 piece. 2 pieces of 1 4 are equal to 1 2 . What else is equivalent to 1 2 ? 1 2 = 2 4 = ____ = ____ = ____ 1 2 1 4 1 4 Is 1 3 equal to 2 6 ? Let us find out. Look at the picture and identify the fractions. Are there two different ways to write the fraction represented by the shaded part? ___________________ Do you see that 1 3 = 2 6 ? Yes. These are called ‘equivalent fractions’. Let us see how equivalent fractions can be generated. Chapter-2 Fraction.indd 18 Chapter-2 Fraction.indd 18 7/2/2025 3:30:30 PM 7/2/2025 3:30:30 PM 19 1. In groups of 3 or 4, find different ways of making a whole with different fraction pieces from your kit. Write the equivalent fractions for the following that you may find in the process. (a) 1 3 = = = (b) 1 4 = = = (c) 1 5 = = = (d) 1 6 = = = Do you see how to generate equivalent fractions for any given fraction? Discuss in class. 2. Find the following using your kit. You can also shade and check by shading the following. The first one is partially done for you. A. How many 1 6 s make 1 3 ? The shaded part is 1 3 . Identify 1 6 in the same whole and find how many 1 6 s fit into 1 3 ? B. How many 1 8 s make (a) 1 4 ? (b) 1 2 ? C. How many 1 12 s make (a) 1 2 (b) 1 3 (c) 1 4 (d) 1 6 ? Let Us Do Chapter-2 Fraction.indd 19 Chapter-2 Fraction.indd 19 7/2/2025 3:30:30 PM 7/2/2025 3:30:30 PM 20 Making Equivalent Fractions Sameer has shaded one-third of the following figures. He draws horizontal lines to divide the shapes into more equal parts. 3. Do as instructed using your fraction kit. ? Make a whole using only 1 6 and 1 12 pieces. ? Make a whole using 1 12 , 1 4 , and 1 2 pieces. ? Make a whole using any five pieces of the same size. ? Make a whole using any seven pieces. Play in a group with this kit and find other interesting combinations to make a whole. Write or draw your findings. 4 12 1 3 2 6 3 9 Chapter-2 Fraction.indd 20 Chapter-2 Fraction.indd 20 7/2/2025 3:30:30 PM 7/2/2025 3:30:30 PM Page 5 Fractions Tamanna is a student of Grade 5. She has two chocolates of different sizes. She says that 1 3 of one of her chocolates is bigger than 1 2 of the other chocolate. Is that correct? Explain why this is so. When can we say that 1 2 of something is greater than 1 3 of something? To compare two fractions of two wholes, the wholes from which the fractions are derived must be the same. A B C Playing with a Grid ? Shade 1 8 of Grid A in red. ? Shade 1 6 of Grid B in blue. ? Shade 1 12 of Grid C in yellow. ? Do you see 1 3 in any of the grids? Mark it. 2 2 Chapter Chapter Identify 1 2 of the chocolate Identify 1 3 of the chocolate Chapter-2 Fraction.indd 17 Chapter-2 Fraction.indd 17 7/2/2025 3:30:30 PM 7/2/2025 3:30:30 PM 18 Fun with Fraction Kit Gurpreet is playing with his fraction kit (a kit is given at the end of the textbook). Do you remember how to make a whole with pieces of the same size? How many 1 5 pieces will you need to make a whole? He makes a whole using two different fraction pieces. The whole looks like the following. One piece of 1 2 and two pieces of 1 4 make a whole. What is the relation between 1 2 and 1 4 ? Discuss in class. 1 2 = 2 4 ( 1 2 is equivalent to 2 4 ). When a 1 2 piece is broken into 2 equal parts, each part is a 1 4 piece. 2 pieces of 1 4 are equal to 1 2 . What else is equivalent to 1 2 ? 1 2 = 2 4 = ____ = ____ = ____ 1 2 1 4 1 4 Is 1 3 equal to 2 6 ? Let us find out. Look at the picture and identify the fractions. Are there two different ways to write the fraction represented by the shaded part? ___________________ Do you see that 1 3 = 2 6 ? Yes. These are called ‘equivalent fractions’. Let us see how equivalent fractions can be generated. Chapter-2 Fraction.indd 18 Chapter-2 Fraction.indd 18 7/2/2025 3:30:30 PM 7/2/2025 3:30:30 PM 19 1. In groups of 3 or 4, find different ways of making a whole with different fraction pieces from your kit. Write the equivalent fractions for the following that you may find in the process. (a) 1 3 = = = (b) 1 4 = = = (c) 1 5 = = = (d) 1 6 = = = Do you see how to generate equivalent fractions for any given fraction? Discuss in class. 2. Find the following using your kit. You can also shade and check by shading the following. The first one is partially done for you. A. How many 1 6 s make 1 3 ? The shaded part is 1 3 . Identify 1 6 in the same whole and find how many 1 6 s fit into 1 3 ? B. How many 1 8 s make (a) 1 4 ? (b) 1 2 ? C. How many 1 12 s make (a) 1 2 (b) 1 3 (c) 1 4 (d) 1 6 ? Let Us Do Chapter-2 Fraction.indd 19 Chapter-2 Fraction.indd 19 7/2/2025 3:30:30 PM 7/2/2025 3:30:30 PM 20 Making Equivalent Fractions Sameer has shaded one-third of the following figures. He draws horizontal lines to divide the shapes into more equal parts. 3. Do as instructed using your fraction kit. ? Make a whole using only 1 6 and 1 12 pieces. ? Make a whole using 1 12 , 1 4 , and 1 2 pieces. ? Make a whole using any five pieces of the same size. ? Make a whole using any seven pieces. Play in a group with this kit and find other interesting combinations to make a whole. Write or draw your findings. 4 12 1 3 2 6 3 9 Chapter-2 Fraction.indd 20 Chapter-2 Fraction.indd 20 7/2/2025 3:30:30 PM 7/2/2025 3:30:30 PM 21 He observes an interesting pattern and says that 1 3 , 2 6 , 3 9 , and 4 12 show the same shaded region. 2 6 , 3 9 , and 4 12 are all equivalent to 1 3 . We use the word ‘equivalent’ to indicate the same part of a whole, with different names. Divide the wholes given below into more equal parts and find fractions equivalent to 1 3 . Write them in the boxes below the images. Do you see any pattern in all the equivalent fractions that you found? 1 3 = 2 6 = 3 9 = 4 12 = ______ = ______ = ______ = 24 = 36 How do you know when a fraction is equivalent to another? Discuss in class. The below pictures show 2 5 of a whole. Find the different fractions that are equivalent to 2 5 and write your fractions below each image. 2 5 = 4 10 = _____ = _____ = 50 = 100 2 5 4 10 4 36 4 36 Chapter-2 Fraction.indd 21 Chapter-2 Fraction.indd 21 7/2/2025 3:30:30 PM 7/2/2025 3:30:30 PMRead More
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1. What are fractions and how are they represented? | ![]() |
2. How do you compare two fractions to determine which is larger? | ![]() |
3. What are equivalent fractions and how can you find them? | ![]() |
4. How can you add or subtract fractions with different denominators? | ![]() |
5. What is the process for simplifying fractions? | ![]() |