Class 7 Maths Chapter 8 Worksheet Solutions - Working with Fractions

Section A: Multiple Choice Questions

Q1: Reema spends 3/4 litre of paint to colour 6 chairs. How much paint does she use for 1 chair?

(a) 1/8 litre
(b) 1/10 litre
(c) 1/12 litre
(d) 1/16 litre

Ans: 
Total paint = 3/4 litre
Chairs = 6
Paint per chair = (3/4) ÷ 6 = 3/4 × 1/6 = 3/24 = 1/8 litre

Q2: A baker has 5 kg of flour. He uses 1/5 kg for each loaf of bread. How many loaves can he bake?

(a) 15
(b) 20
(c) 22
(d) 25

Ans: 
Total flour = 5 kg
Flour per loaf = 1/5 kg
Number of loaves = 5 ÷ (1/5) = 5 × 5 = 25

Q3: When one number is between 0 and 1, the product is ___ than the other number.
(a) greater
(b) less
(c) equal
(d) none of these

Ans: (b) less

When a number is multiplied by a fraction between 0 and 1, the result (product) becomes smaller than the original number.

Example: 1/2 × 6 = 3

(which is less than 6)

So, the product is less than the other number.

Section B: Fill in the Blanks

Q4: 

Ans: 

Q5:

Ans:

​Q6:

Ans: 

Section C: Word Problems

Q7: Maya plants four saplings in a row, with 3/4 m between two saplings. Find the distance between the first and last saplings?

Ans: When saplings are planted in a row:

• The number of gaps between them is one less than the number of saplings.

So,

• Number of saplings = 4

• Number of gaps = 4 − 1 = 3

Each gap = ¾ m
So, total distance between the first and last saplings =

Q8: A bus covers 12 km using 1 litre of diesel. How far will it go using 3½ litres of diesel?

Ans: Distance covered per litre = 12 km
Diesel used = 3½ litres = $\frac{7}{2}\backslash tfrac\{7\}\{2\}$ litres

Total distance = $12\times \frac{7}{2}12\; \backslash times\; \backslash tfrac\{7\}\{2\}$ = $\frac{84}{2}\backslash tfrac\{84\}\{2\}$ = 42 km

Q9: Tanish drinks 1/2 glass of milk every day. How many glasses of milk does he drink in a week?

Ans: Milk per day = 1/2 glass.
In a week (7 days):

Q10: Ravi filled 8 glasses of juice using 2 litres of juice. How much juice is in each glass?

Ans:
Total juice = 2 litres
Number of glasses = 8
Juice per glass = $\frac{2}{8}=\frac{1}{4}\backslash dfrac\{2\}\{8\}\; =\; \backslash dfrac\{1\}\{4\}$ litre