**Fractions and decimals class 7**

Contents

# Fractions and decimals class 7 ( Short Answer type questions)

**Question 1: If **

**of a number is 15, find the number.**

Solution: Let be the required number.

÷

Hence the required number is 9.

**Question 2: Solve .**

Solution.

** = **

=

Hence ** = **

**Question 3: Multiply .**

Solution.

=

= =

Hence **= . **

**Question 4: Solve .**

Solution: ** = **

=

=

=

**Question 5: which one is smaller ? **

Solution:

Now . So

Another Method : 7 x 89= 623 and 14 x 45 = 630

As 623 < 630 , therefore .

**Question 6 : Express as a decimal.**

Solution : = 0.75

**Question 7 : Round off 86.953 to tenths place.**

Solution: For rounding off to tenths place, we look at the hundredths place. Here the digit is 5.So, the digit at the tenths place (9)

will be increased by 1 (i.e., it will become 9 + 1). Hence, rounding off 86.953 to tenths place, we get 87.0

**Question 8: Arrange the following in ascending order **

**(i) 0.20 , 0.002, 0.02, 2.2 , 2.02, 2.22**

**(ii) 9.99, 9.099, 99.9, 99.09 , 9.009 **

Solution : (i) 0.002 < 0.02< 0.20< 2.02< 2.2 < 2.22

(ii) 9.009< 9.099 < 9.99 < 99 .09 < 99.9

**Question 9: Which of the following fractions is the smallest? (a) (b) (c) (d)
**

Solution . When the numerator of the fractions are equal , the fraction with greater denominator will be the smallest. Hence the fraction ** **is the smallest.

**Question 10. Arrange the following in descending order.**

**(i) 9.45, 9.054, 9.504, 9.405, 9.54, 9.045**

**(ii) 77.7, 7.77, 0.777, 7.07, 0.707, 7.077**

Solution. (i) 9.54 > 9.504 > 9.45 > 9.405> 9.054> 9.045

(ii) 77.7 > 7.77 > 7.077> 7.07> 0.777 > 0.707

**Question 11: (i) 5.9 ÷ 10 = _____**

**(ii) 5.9 ÷ 100 = _____**

**(iii) 5.9 ÷ 1000 = _____**

Solution: (i)

=

= 0.59

(ii)

=

= 0.059

(iii)

=

= 0.0059

**Example 12. Divide 0.0042 7 .**

Solution .

=

=0.0006

**Example 13. Find the average of 4.21, 3.82 and 7.63 .**

Solution. The average of 4.21, 3.82 and 7.63 is =

= =5.22

**Example 14 : Divide (a) 0.5176 by 8 (b) 3.45 by 25 **

Solution :

## Fractions and decimals class 7 (Fill in the blanks type questions)

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii) Decimal 8.125 is equal to the fraction ……………

(viii) 6.29- 3.78 = ………..

(ix) Fill in the blanks using > or < :

(x) = …………

(xi) The reciprocal of fraction more than 1 is always less than 1.

(xii) 230. 4 = 2.304

(xiii)

(xiv) = …………

(xv) 0.7432

Ans. (i) 0 (ii) 1 (iii) 0 (iv) (v) (vi) (vii) (viii) 2 .51 (ix) < (x) 0.047 (xi) True (xii)100 (xiii) 1000 (xiv) 0.0036

(xv) 100

**Fractions and decimals class 7 (Word problems)**

**Question 1**: A ribbon of length m is cut into small pieces each of length m. Find the number of pieces that can be cut from the ribbon.

Solution. Total length of ribbon = m= m

Length of each small piece= m

number of pieces =

=

= = 9

**Question 2: A car covers a distance of 99.1 km in 2.5 hours. What is the average distance covered by it in 1 hour?**

Solution. Distance covered by the car = 99.1 km.

Time required to cover this distance = 2. 5 hours.

So distance covered by it in 1 hour =

= 39.64

**Questions 3 : Tanvy bought kg of apples. Later she found that of them were rotten. Find the rotten apples and that of good ones.**

Solution: Total weight of apples bought =** kg = kg**

Weight of rotten apples = kg

= kg

=

Weight of good apples = total weight of apples – weight of rotten apples

= ** kg – **

= kg =

**Question 4: The product of two fractions is .If one of the fraction is , find the other. **

Solution: Product of two fractions = ** **

One of the fractions =** **

The other fraction = ** = **

= .

Hence , the other fraction is .

**Question 5: Mr. Amit distributed Rs. 560 among N.C.C. Cadets for refreshment . If each cadet receive Rs. 8.75 , How many cadets were there?**

Solution: Total amount distributed = Rs. 560

Amount received by each cadet= Rs. 8.75

Number of cadets =

Hence, the number of cadets is 64.

#### Fractions and decimals (worksheet)

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