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find rational number between 3 by 5 and 7 by 8
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find rational number between 3 by 5 and 7 by 8 Related: Represent Rat...
To find rational numbers, we will make the denominators same by taking out the LCM.
3/5=24/40
7/8=35/40
then multiply by 4
24/40*4/4 and 35/40*4/4
96/160 and 140/160
three rational numbers=97/160,98/160,99/160
This question is part of UPSC exam. View all Class 7 courses
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find rational number between 3 by 5 and 7 by 8 Related: Represent Rat...
Finding a Rational Number Between 3/5 and 7/8
To find a rational number between 3/5 and 7/8, we first need to convert these fractions to a common denominator.
Step 1: Find a Common Denominator
- The denominators are 5 and 8.
- The least common multiple (LCM) of 5 and 8 is 40.
Step 2: Convert the Fractions
- Convert 3/5 to a fraction with a denominator of 40:
- (3 × 8) / (5 × 8) = 24/40
- Convert 7/8 to a fraction with a denominator of 40:
- (7 × 5) / (8 × 5) = 35/40
Step 3: Identify Rational Numbers
Now we have:
- 3/5 = 24/40
- 7/8 = 35/40
To find a rational number between 24/40 and 35/40, we can take the average of these two fractions.
Step 4: Calculate the Average
- Average = (24/40 + 35/40) / 2
- Average = (59/40) / 2 = 59/80
Conclusion
Thus, a rational number between 3/5 and 7/8 is 59/80.
Representing on a Number Line
- To represent these numbers on a number line, mark the positions for 3/5, 7/8, and 59/80.
- Ensure that the divisions between the fractions are equal to visualize the distance between them accurately.
This method demonstrates how to find and represent rational numbers between two given fractions effectively!
To find a rational number between 3/5 and 7/8, we first need to convert these fractions to a common denominator.
Step 1: Find a Common Denominator
- The denominators are 5 and 8.
- The least common multiple (LCM) of 5 and 8 is 40.
Step 2: Convert the Fractions
- Convert 3/5 to a fraction with a denominator of 40:
- (3 × 8) / (5 × 8) = 24/40
- Convert 7/8 to a fraction with a denominator of 40:
- (7 × 5) / (8 × 5) = 35/40
Step 3: Identify Rational Numbers
Now we have:
- 3/5 = 24/40
- 7/8 = 35/40
To find a rational number between 24/40 and 35/40, we can take the average of these two fractions.
Step 4: Calculate the Average
- Average = (24/40 + 35/40) / 2
- Average = (59/40) / 2 = 59/80
Conclusion
Thus, a rational number between 3/5 and 7/8 is 59/80.
Representing on a Number Line
- To represent these numbers on a number line, mark the positions for 3/5, 7/8, and 59/80.
- Ensure that the divisions between the fractions are equal to visualize the distance between them accurately.
This method demonstrates how to find and represent rational numbers between two given fractions effectively!
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find rational number between 3 by 5 and 7 by 8 Related: Represent Rational Numbers in Number Line (Part - 8) - Rational Numbers , Maths, Class 7? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about find rational number between 3 by 5 and 7 by 8 Related: Represent Rational Numbers in Number Line (Part - 8) - Rational Numbers , Maths, Class 7? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for find rational number between 3 by 5 and 7 by 8 Related: Represent Rational Numbers in Number Line (Part - 8) - Rational Numbers , Maths, Class 7?.
find rational number between 3 by 5 and 7 by 8 Related: Represent Rational Numbers in Number Line (Part - 8) - Rational Numbers , Maths, Class 7? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about find rational number between 3 by 5 and 7 by 8 Related: Represent Rational Numbers in Number Line (Part - 8) - Rational Numbers , Maths, Class 7? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for find rational number between 3 by 5 and 7 by 8 Related: Represent Rational Numbers in Number Line (Part - 8) - Rational Numbers , Maths, Class 7?.
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