Short Question Answer: Fractions and Decimals
Q1. Find the value of 5/6 of:
(i) 30
Ans: The value of 5/6 of 30 is:
5/6 x 30 = 5
(ii) 54
Ans: The value of 5/6 of 54 is:
5/6 x 54 = 45
Q2. Multiply and reduce to lowest form:
(i) 3/8 x 4/9
Ans: Multiplying and simplifying 3/8 x 4/9
= 12/72
= 1/6
(ii) 11/10 x 2/5
Ans: Multiplying and simplifying 11/10 x 2/5
= 22/50
= 11/25
Q3. Multiply and express as mixed fractions:
(i) 
Ans. Solving the expression:
(ii) 
Ans. Solving the expression:
Q4. Shade:
(i) 1/3 of the ice creams in box:
Ans: There are total 9 ice creams in the box. We have to shade 1/3, that is 1/3 x 9 = 3 ice creams.
(ii) 3/4 of the apples in box:
Ans: There are a total of 16 apples in the box. We have to shade 3/4 , that is, 3/4 × 16 = 12 apples.
Q5. Sarah and Darshan went for a picnic. Their mother gave them a juice bottle of 3 litres. Sarah consumed 1/3rd of the juice. Darshan consumed the rest.
(a) How much did Sarah drink?
Ans. Total quantity of juice in the bottle is 3 litres.
Sarah consumed 1/3rd of the juice, that is, 1 / 3 × 3 = 1 litre.
(b) What fraction of the total quantity did Darshan drink?
Ans. Darshan consumed 1 - 1/3 = 23 of the total juice.
Q6. Find:
(i) 
Ans. Solving:
(ii) 
Ans. Solving:
Q7. Find:
(i) 
Ans: Solving:
(ii) 
Ans: Solving:
Q.8. Which is greater:
(i) 0.02 or 0.2
Ans: We convert the decimals into equivalent fractions:
0.02 = 2/100 and 0.2 = 20/100
On comparing, we conclude that 20/100/>/2/100
Hence, 0.2 is greater.
(ii) 1.98 or 1.98
Ans: We convert the decimals into equivalent fractions:
1.98 = 198/100 and 1.89 = 189/100
On comparing, we conclude that 198/100 > 189/100
Hence, 1.98 is greater.
Q9. How much 5.6 kg is less than 9.4 kg?
Ans: Calculating the difference:
9.4 - 5.6 = 3.8 kg
Hence, 5.6 kg is 3.8 kg less than 9.4 kg.
Q10. Arrange in ascending order 
.
Ans: To arrange given fractions in ascending order, we first make their denominators equivalent.
L.C.M. of all the denominators 5, 7, 10 is 70
Now, 
Hence, 
Q11. Find the perimeter of the rectangle whose length is 
cm and breadth is 3/5 cm.
Ans: We know that the perimeter of a rectangle is twice the sum of its length and breadth,
that is, 2(l + b).
Q12. Find 3/7 of
(i) 
Ans: The value of 
(ii) 
Ans: The value of 
Q13. Write the following decimal number in expanded form:
(i) 208.183
Ans: In expanded form, the given decimal can be written as:
(ii) 5.018
Ans: In expanded form, the given decimal can be written as:
(iii) 360.05
Ans: In expanded form, the given decimal can be written as:
