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 Page 1


Chapter 5: Decimal Fractions 
 
 
PRACTICE SET 14 [PAGES 30 - 31] 
 
 
SOLUTION 
 
 
 
Practice Set 14 | Q 2.1 | Page 30 
Solve: 
905.5 + 27.197 
 
SOLUTION 
 
 
 
Practice Set 14 | Q 2.2 | Page 30 
Solve: 
Page 2


Chapter 5: Decimal Fractions 
 
 
PRACTICE SET 14 [PAGES 30 - 31] 
 
 
SOLUTION 
 
 
 
Practice Set 14 | Q 2.1 | Page 30 
Solve: 
905.5 + 27.197 
 
SOLUTION 
 
 
 
Practice Set 14 | Q 2.2 | Page 30 
Solve: 
39 + 700.65 
 
SOLUTION 
 
 
 
Practice Set 14 | Q 2.3 | Page 30 
Solve: 
40 + 27.7 + 2.451 
 
SOLUTION 
 
 
Practice Set 14 | Q 3.1 | Page 30 
Subtract: 
85.96 – 2.345 
 
SOLUTION 
 
 
Practice Set 14 | Q 3.2 | Page 30 
Subtract: 
632.24 – 97.45 
Page 3


Chapter 5: Decimal Fractions 
 
 
PRACTICE SET 14 [PAGES 30 - 31] 
 
 
SOLUTION 
 
 
 
Practice Set 14 | Q 2.1 | Page 30 
Solve: 
905.5 + 27.197 
 
SOLUTION 
 
 
 
Practice Set 14 | Q 2.2 | Page 30 
Solve: 
39 + 700.65 
 
SOLUTION 
 
 
 
Practice Set 14 | Q 2.3 | Page 30 
Solve: 
40 + 27.7 + 2.451 
 
SOLUTION 
 
 
Practice Set 14 | Q 3.1 | Page 30 
Subtract: 
85.96 – 2.345 
 
SOLUTION 
 
 
Practice Set 14 | Q 3.2 | Page 30 
Subtract: 
632.24 – 97.45 
SOLUTION 
 
 
 
Practice Set 14 | Q 3.3 | Page 30 
Subtract: 
200.005 – 17.186 
 
SOLUTION 
 
 
Practice Set 14 | Q 4 | Page 31 
Avinash travelled 42 km 365 m by bus, 12 km 460 m by car, and walked 640 m. How 
many kilometres did he travel altogether? (Write your answer in decimal fractions). 
 
SOLUTION 
 
 
Page 4


Chapter 5: Decimal Fractions 
 
 
PRACTICE SET 14 [PAGES 30 - 31] 
 
 
SOLUTION 
 
 
 
Practice Set 14 | Q 2.1 | Page 30 
Solve: 
905.5 + 27.197 
 
SOLUTION 
 
 
 
Practice Set 14 | Q 2.2 | Page 30 
Solve: 
39 + 700.65 
 
SOLUTION 
 
 
 
Practice Set 14 | Q 2.3 | Page 30 
Solve: 
40 + 27.7 + 2.451 
 
SOLUTION 
 
 
Practice Set 14 | Q 3.1 | Page 30 
Subtract: 
85.96 – 2.345 
 
SOLUTION 
 
 
Practice Set 14 | Q 3.2 | Page 30 
Subtract: 
632.24 – 97.45 
SOLUTION 
 
 
 
Practice Set 14 | Q 3.3 | Page 30 
Subtract: 
200.005 – 17.186 
 
SOLUTION 
 
 
Practice Set 14 | Q 4 | Page 31 
Avinash travelled 42 km 365 m by bus, 12 km 460 m by car, and walked 640 m. How 
many kilometres did he travel altogether? (Write your answer in decimal fractions). 
 
SOLUTION 
 
 
 
? Total distance travelled altogether 
 
= Distance travelled by bus + Distance travelled by car + Distance travelled by walking 
= 42.365 km + 12.460 km + 0.640 km  
= 55.465 km 
 
 
Thus, the total distance travelled by Avinash altogether is 55.465 km. 
Practice Set 14 | Q 5 | Page 31 
 
Ayesha bought 1.80 m of cloth for her salwar and 2.25 m for her kurta. If the cloth costs 
120 rupees per metre, how much must she pay the shopkeeper? 
 
SOLUTION 
Length of cloth bought for salwar = 1.80 m 
Length of cloth bought for kurta = 2.25 m 
? Total length of cloth bought 
= Length of cloth bought for salwar + Length of cloth bought for kurta 
= 1.80 m + 2.25 m 
= 4.05 m 
Page 5


Chapter 5: Decimal Fractions 
 
 
PRACTICE SET 14 [PAGES 30 - 31] 
 
 
SOLUTION 
 
 
 
Practice Set 14 | Q 2.1 | Page 30 
Solve: 
905.5 + 27.197 
 
SOLUTION 
 
 
 
Practice Set 14 | Q 2.2 | Page 30 
Solve: 
39 + 700.65 
 
SOLUTION 
 
 
 
Practice Set 14 | Q 2.3 | Page 30 
Solve: 
40 + 27.7 + 2.451 
 
SOLUTION 
 
 
Practice Set 14 | Q 3.1 | Page 30 
Subtract: 
85.96 – 2.345 
 
SOLUTION 
 
 
Practice Set 14 | Q 3.2 | Page 30 
Subtract: 
632.24 – 97.45 
SOLUTION 
 
 
 
Practice Set 14 | Q 3.3 | Page 30 
Subtract: 
200.005 – 17.186 
 
SOLUTION 
 
 
Practice Set 14 | Q 4 | Page 31 
Avinash travelled 42 km 365 m by bus, 12 km 460 m by car, and walked 640 m. How 
many kilometres did he travel altogether? (Write your answer in decimal fractions). 
 
SOLUTION 
 
 
 
? Total distance travelled altogether 
 
= Distance travelled by bus + Distance travelled by car + Distance travelled by walking 
= 42.365 km + 12.460 km + 0.640 km  
= 55.465 km 
 
 
Thus, the total distance travelled by Avinash altogether is 55.465 km. 
Practice Set 14 | Q 5 | Page 31 
 
Ayesha bought 1.80 m of cloth for her salwar and 2.25 m for her kurta. If the cloth costs 
120 rupees per metre, how much must she pay the shopkeeper? 
 
SOLUTION 
Length of cloth bought for salwar = 1.80 m 
Length of cloth bought for kurta = 2.25 m 
? Total length of cloth bought 
= Length of cloth bought for salwar + Length of cloth bought for kurta 
= 1.80 m + 2.25 m 
= 4.05 m 
 
Practice Set 14 | Q 6 | Page 31 
 
Sujata bought a watermelon weighing 4.25 kg and gave 1 kg 750g to the children in her 
neighbourhood. How much of it does she have left? 
 
SOLUTION 
 
 
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FAQs on Textbook Solutions: Decimal Fractions - Mathematics Class 6 (Maharashtra Board)

1. What are decimal fractions and how are they different from whole numbers?
Ans. Decimal fractions are fractions where the denominator is a power of ten, which can be represented in decimal form. For example, 0.5 is a decimal fraction equivalent to 5/10. Unlike whole numbers, which are complete units without any fractional part, decimal fractions represent parts of a whole, allowing for more precise values in calculations.
2. How can decimal fractions be converted into percentages?
Ans. To convert a decimal fraction into a percentage, you multiply the decimal by 100 and add the percent symbol. For instance, to convert 0.75 into a percentage, you would calculate 0.75 x 100 = 75%, indicating that 0.75 is equivalent to 75 percent of a whole.
3. What are some common operations that can be performed with decimal fractions?
Ans. Common operations that can be performed with decimal fractions include addition, subtraction, multiplication, and division. When adding or subtracting decimal fractions, it is important to align the decimal points before performing the operation. For multiplication, you simply multiply the numbers as whole numbers and then place the decimal point in the result. For division, you may need to convert the divisor to a whole number by moving the decimal point.
4. Can you provide an example of real-life applications of decimal fractions?
Ans. Decimal fractions are commonly used in various real-life situations, such as in finance for calculating interest rates, in cooking for measuring ingredients, and in measurements for height, weight, or distance. For example, if a recipe calls for 0.25 liters of milk, it helps to accurately measure the amount needed without rounding off to the nearest whole number.
5. How do you compare decimal fractions to determine which is larger or smaller?
Ans. To compare decimal fractions, you align the decimal points and compare the digits from left to right. The first digit that differs determines which decimal is larger or smaller. For example, when comparing 0.4 and 0.35, you can see that 0.4 is larger because, after aligning the decimal points, 4 is greater than 3. If the digits are the same, you continue to the next digit until a difference is found.
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