Worksheet Question Answers: Fractions & Decimals

# Worksheet Question Answers: Fractions and Decimals Class 7 Worksheet Maths

 Table of contents Multiple Choice Questions State True / False. Short Answer Type Questions Fill in the Blanks

## Multiple Choice Questions

Ques 1: Rain needs to double her pizza recipe to make enough. If the single recipe calls forcups of flour, how much flour will she need?

Ans:  The correct answer is Option (c)

Question for Worksheet Question Answers: Fractions & Decimals
Try yourself:Ques 2: What is the fraction of the shaded area?

Ques 3: Guru reads 3/5 of a book. He finds that there are still 80 pages left to be read. What is the total number of pages in the book?

(a) 100
(b) 200
(c) 300
(d) 400

Ans. The correct answer is Option (b)

Ques 4: Choose the figures where the fraction represented by the shaded portion has a denominator of 5.

Ans: The correct answer is Option (c); shaded reason = 4/5

Ques 5: Find one-fifth of the flower collection.

(a) 4
(b) 16
(c) 2
(d) 8

Ans: The correct answer is Option (a); 20 ÷ 5= 4

## State True / False.

Ques 1: A decimal fraction is a fraction where the denominator is 10 or higher power of 10.

Ans. True

A decimal fraction is a fraction where the denominator is a power of 10, such as 10, 100, 1000, and so on. These fractions can be easily represented as decimals. For example:

In each case, the denominator is a power of 10, and the fraction is written as a decimal by placing the appropriate number of digits after the decimal point.

Ques 2: A fraction with a larger numerator is always smaller than a fraction with a smaller numerator.

Ans. False

Ques 3: Like decimals have the same number of decimal places.

Ans. True

Yes, like decimals have the same number of decimal places. This term is often used to make comparing or performing arithmetic operations with decimals easier.

Ques 4: Natural numbers can be expressed as a proper fraction.

Ans. False

Natural numbers cannot typically be expressed as proper fractions. A proper fraction is defined as a fraction where the numerator is less than the denominator, resulting in a value less than 1. Natural numbers, such as 1, 2, 3, etc., are whole numbers greater than 0 and do not fit the criteria of a proper fraction because their value is always 1 or greater.

Ques 5: The reciprocal of

Ans. True

Ques 6: The reciprocal of a proper fraction is a proper fraction.

Ans. False

A proper fraction is a fraction where the numerator is less than the denominator. When you take the reciprocal of such a fraction, the numerator becomes larger than the denominator, resulting in an improper fraction.

Ques 7: The reciprocal of an improper fraction is an improper fraction.

Ans. False

An improper fraction is a fraction where the numerator is greater than or equal to the denominator. When you take the reciprocal of such a fraction, the numerator becomes smaller than the denominator, resulting in a proper fraction.

Ques 8: The product of 7 and

Ans. True

## Short Answer Type Questions

Ques 1: Divide

Ans: 5/6

Ques 2: Karim had 20 toffees. He took these toffees with him to a picnic with four of his friends. Karim along with friends shared these toffees equally. How many toffees did each one get?

Ans: 4 Toffees

Karim had 20 toffees, and he shared them equally with his four friends. To find out how many toffees each person got, we need to divide the total number of toffees by the number of people.

Total number of toffees = 20 Number of people (Karim and his four friends) = 4 + 1 (Karim himself) = 5

So, each person got =4 toffees.

Ques 3: How long is 88.6 km than 48 km?

Ans: 40.6 km

To find out how long 88.6 km is compared to 48 km, you would subtract 48 km from 88.6 km:

$88.6 km−48 km=40.6 km88.6 \text{ km} - 48 \text{ km} = 40.6 \text{ km}$88.6 km−48 km=40.6 km

So, 88.6 km is 40.6 km longer than 48 km.

Ques 4: If the cost of 20 pens is ₹ 356.80, then find the cost of a pen.

Ans: 17.84

To find the cost of one pen, you need to divide the total cost of 20 pens by the number of pens:

Total cost of 20 pens = ₹ 356.80

Cost of one pen = ₹ 356.80 / 20 = ₹ 17.84

Therefore, the cost of one pen is ₹ 17.84.

Ques 5: Karina bought 5 kg 500g apples and 3 kg 250g of oranges. Shivani bought 4kg 200g mangoes and 4kg 500g guavas. Who bought more fruits and how much?

Ans: Karina, 50 g

Total for Karina = 5,500 g + 3,250 g = 8,750 g

Total for Shivani = 4,200 g + 4,500 g = 8,700 g

Comparing the totals, Karina bought more fruits, and the difference in quantity is: $8,750 g (Karina)−8,700 g (Shivani)=50 g8,750 \text{ g (Karina)} - 8,700 \text{ g (Shivani)} = 50 \text{ g}$8,750 g (Karina)−8,700 g (Shivani)=50 g

So, Karina bought more fruits than Shivani, and the difference is 50 grams.

Ques 6: Express in kg:

(a) 4730g
(b) 8kg 4g

Ans:
(a) 4.730 kg
(b) 8.004 kg

Ques 7: Soumya ate 2/5 part of an apple and her younger brother Somu ate the remaining part. What part of the apple did Sonu eat? Who had the longer share and by how much?

Ans: 3/5 part Somu had the large share, 1/5

Ques 8: Convert:
(a) 0.25 into fraction
(b) 19/20 to decimal form

Ans:
(a) 1/4
(b) 0.95

Ques 9: Simplify:
(a)
(b)
(c)
(d)
(e) 0.089 × 0.76 ÷ 0.19

Ans: (a) 1
(b) 12
(c) 2.1
(d) 1/3
(e) 0.356

Ques 10: Each side of a square field is 5.5m. Find the perimeter of the square field.

Ans: 22 m

Ques 11: Write the pictorial representation of the shaded portion in the form of a fraction.

Ans:

i). There are 2 shaded parts.

The total number of parts is 4.

Thus, the required fraction representing the shaded part is 2 / 4 or 1 / 2.

ii). There are 8 shaded parts.

The total number of parts is 9.

Thus, the required fraction representing the shaded part is 8 / 9.

iii). There are 4 shaded parts.

The total number of parts is 8.

Thus, the required fraction representing the shaded part is 4 / 8 or 1 / 2.

iv). There is 1 shaded part.

The total number of parts is 4.

Thus, the required fraction representing the shaded part is 1 / 4.

v). There are 3 shaded parts.

The total number of parts is 7.

Thus, the required fraction representing the shaded part is 3 / 7.

vi). There are 3 shaded parts.

The total number of parts is 12.

Thus, the required fraction representing the shaded part is 3 / 12 or 1 / 4.

vii). There are 10 shaded parts.

The total number of parts is 10.

Thus, the required fraction representing the shaded part is 10 / 10 or 1 whole.

viii). There are 4 shaded parts.

The total number of parts is 9.

Thus, the required fraction representing the shaded part is 4 / 9.

ix). There are 4 shaded parts.

The total number of parts is 8.

Thus, the required fraction representing the shaded part is 4 / 8 or 1 / 2.

x). There is 1 shaded part.

The total number of parts is 2.

Thus, the required fraction representing the shaded part is 1 / 2.

## Fill in the Blanks

Ques 1: The two-third of 42 is __________.

Ans: 28

Ques 2: Find the missing number :
(a)
(b)

Ans:

(a) 1/4
(b) 37

Ques 3: A fraction is a number which can be written in the form a/b, where a, b are   _____numbers and b ≠ 0.

Ans: whole

Ques 4: If numerator and denominator of a fraction have no common factor other than 1, then the fraction is said to be in its________________ form.

Ans: simplest

Ques 5: If cd=m×am×bcd=m×am×b ,then fractions abab and cdcd  are called_____________ fractions because they represent the _________portion of the whole.

Ans: equivalent, same

Ques 6: The value of the product of two proper fractions is__________ than each of the two fractions.

Ans: less

Ques 7: The product of two improper fractions is__________________ than the two fractions.

Ans: greater

Ques 8: A fraction whose denominator is any of the numbers 10,000, 1000 etc, called a____________

Ans: decimal fraction

Ques 9: 11.5 ÷ _______________ =1.

Ans: 11.5

Ques 10: If 312.5 ÷ 25 = 12.5, then value of 3.125 ÷ 25 is_____________.

Ans:  0.125

Ques 11: The product of a proper and an improper fraction is____________ than the improper fraction and __________then the proper fraction.

Ans:  less, greater

Ques 12: When a decimal number is multiplied by 10,000 or 1000 the digits in the product are same as in the decimal number but the decimal point in the product is shifted to the ___________by as, many of places as there are zeros over one.

Ans: right

The document Worksheet Question Answers: Fractions and Decimals Class 7 Worksheet Maths is a part of the Class 7 Course Mathematics (Maths) Class 7.
All you need of Class 7 at this link: Class 7

## Mathematics (Maths) Class 7

76 videos|345 docs|39 tests

## FAQs on Worksheet Question Answers: Fractions and Decimals Class 7 Worksheet Maths

 1. How do you convert fractions to decimals?
Ans. To convert a fraction to a decimal, divide the numerator by the denominator. For example, to convert 1/2 to a decimal, divide 1 by 2 to get 0.5.
 2. How do you convert decimals to fractions?
Ans. To convert a decimal to a fraction, count the number of decimal places and put the decimal number over the appropriate power of 10. For example, 0.75 can be written as 75/100, which simplifies to 3/4.
 3. How do you add and subtract fractions and decimals?
Ans. To add or subtract fractions, make sure the denominators are the same, then add or subtract the numerators. For decimals, align the decimal points and then add or subtract as usual.
 4. How do you multiply and divide fractions and decimals?
Ans. To multiply fractions, multiply the numerators and denominators. To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For decimals, multiply and divide as usual.
 5. How do you compare fractions and decimals?
Ans. To compare fractions, find a common denominator and then compare the numerators. To compare decimals, use a number line or convert them to fractions for comparison.

## Mathematics (Maths) Class 7

76 videos|345 docs|39 tests

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