Complete the addition-subtraction box. Addition → Subtraction ↓ 2 3 4 3 ___ 1 3 2 3 ____ ____ ____ ____

From the given figure, 2 3 + 4 3 = 2 + 4 3 = 6 3 = 2 1 3 + 2 3 = 1 + 2 3 = 3 3 = 1 Addition → Subtraction ↓ 2 3 4 3 2 1 3 2 3 1 2 3 - 1 3 = 2 - 1 3 = 1 3 4 3 - 2 3 = 4 - 2 3 = 2 3 Addition → Subtraction ↓ 2 3 4 3 2 1 3 2 3 1 1 3 2 3 Now, 2 - 1 = 1 Also, 1 3 + 2 3 = 1 + 2 3 = 1 Addition → Subtraction ↓ 2 3 4 3 2 1 3 2 3 1 1 3 2 3 1 Hence, the completed box is given as above.

Complete the addition-subtraction box. Addition → Subtraction ↓ 2 3 4 3 _____ 1 3 2 3 _____ _____ _____ _____

From the given figure, 2 3 + 4 3 = 2 + 4 3 = 6 3 = 2 1 3 + 2 3 = 1 + 2 3 = 3 3 = 1 Addition → Subtraction ↓ 2 3 4 3 2 1 3 2 3 1 — — — 2 3 - 1 3 = 2 - 1 3 = 1 3 4 3 - 2 3 = 4 - 2 3 = 2 3 Addition → Subtraction ↓ 2 3 4 3 2 1 3 2 3 1 1 3 2 3 — Now, 2 - 1 = 1 Also, 1 3 + 2 3 = 1 + 2 3 = 1 Addition → Subtraction ↓ 2 3 4 3 2 1 3 2 3 1 1 3 2 3 1 Hence, the completed box is given as above.

Asha and Samuel have bookshelves of the same size partly filled with books. Asha’s shelf is 5 6 t h full and Samuel’s shelf is 2 5 t h full. Whose bookshelf is more full? By what fraction?

Given, Asha’s bookshelf is 5 6 t h full. Samuel’s bookshelf is 2 5 t h full. In order to compare the two fractions, we find their equivalent fractions with same denominator. 5 6 = 5 6 × 5 5 = 25 30 Also, 2 5 = 2 5 × 6 6 = 12 30 ( ∵ L.C.M. of 6 and 5 is 30 ) ∵ 25 30 > 12 30 ⇒ 5 6 > 2 5 ∴ Asha’s bookshelf is more covered than Samuel’s. Difference = 25 30 - 12 30 = 13 30 Hence, Asha’s bookshelf is more covered than Samuel’s by a fraction of 13 30 .

Jaidev takes 2 1 5 minutes to walk across the school ground. Rahul takes 7 4 minutes to do the same. Who takes less time and by what fraction?

Given, Time taken by Jaidev = 2 1 5 minutes = 5 × 2 + 1 5 = 11 5 minutes Time taken by Rahul = 7 4 minutes In order to compare the two fractions, we find their equivalent fractions with same denominator. 11 5 = 11 × 4 5 × 4 = 44 20 7 4 = 7 × 5 4 × 5 = 35 20 Since, 44 20 > 35 20 ⇒ 11 5 > 7 4 Therefore, Rahul takes less time. Difference = 11 5 - 7 4 = 11 × 4 - 7 × 5 20 L . C . M . of 5 and 4 is 20 = 44 - 35 20 = 9 20 minutes Thus, Rahul takes 9 20 minutes lesser than Jaidev.

E M B I B E

MATHEMATICS TEXTBOOK FOR CLASS VI>Chapter 7 - Fractions>EXERCISE 7.6>Q 4

EASY

6th CBSE

IMPORTANT

Earn 100

Fill in the blank:

$- \frac{1}{5} = \frac{1}{2}$

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Important Questions on Fractions

EASY

6th CBSE

IMPORTANT

MATHEMATICS TEXTBOOK FOR CLASS VI>Chapter 7 - Fractions>EXERCISE 7.6>Q 4

Fill in the blank:

$\frac{1}{2} -$ _____ $= \frac{1}{6}$

MEDIUM

6th CBSE

IMPORTANT

MATHEMATICS TEXTBOOK FOR CLASS VI>Chapter 7 - Fractions>EXERCISE 7.6>Q 5

Complete the addition-subtraction box.

	Addition $\to$
Subtraction $↓$	$\frac{2}{3}$	$\frac{4}{3}$	___
	$\frac{1}{3}$	$\frac{2}{3}$	____
	____	____	____

HARD

6th CBSE

IMPORTANT

MATHEMATICS TEXTBOOK FOR CLASS VI>Chapter 7 - Fractions>EXERCISE 7.6>Q 5

Complete the addition-subtraction box.

	Addition $\to$
Subtraction $↓$	$\frac{2}{3}$	$\frac{4}{3}$	_____
	$\frac{1}{3}$	$\frac{2}{3}$	_____
	_____	_____	_____

MEDIUM

6th CBSE

IMPORTANT

MATHEMATICS TEXTBOOK FOR CLASS VI>Chapter 7 - Fractions>EXERCISE 7.6>Q 6

A piece of wire $\frac{7}{8}$ metre long broke into two pieces. One piece was $\frac{1}{4}$ metre long. How long (in metres) is the other piece? (Write the answer in fraction.)

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6th CBSE

IMPORTANT

MATHEMATICS TEXTBOOK FOR CLASS VI>Chapter 7 - Fractions>EXERCISE 7.6>Q 7

Nandini’s house is $\frac{9}{10} km$ from her school. She walked some distance and then took a bus for $\frac{1}{2} km$ to reach the school. How far did she walk $(in km)$ ? (Write the answer in fraction.)