Find 3 equivalent fractions of 21 56 .

Given that to find 3 equivalent fractions of 21 56 . We know that, To find the equivalent rational numbers divide or multiply both the numerator and denominator of the fraction by the same number. 21 56 = 21 56 × 2 2 = 42 112 21 56 = 21 56 ÷ 7 7 = 3 8 21 56 = 21 56 × 3 3 = 63 168 Hence, the required rational numbers are 42 112 , 3 8 , 63 168 .

Find 3 equivalent fractions of 21 56 .

Given that to find 3 equivalent fractions of 21 56 . We know that, To find the equivalent rational numbers divide or multiply both the numerator and denominator of the fraction by the same number. 21 56 = 21 56 × 2 2 = 42 112 21 56 = 21 56 ÷ 7 7 = 3 8 21 56 = 21 56 × 3 3 = 63 168 Hence, the required rational numbers are 42 112 , 3 8 , 63 168 .

Subtract 5 8 from 7 6 .

Given that to subtract 5 8 from 7 6 7 6 - 5 8 LCM of 6 , 8 is 24 . 7 6 - 5 8 = 7 6 × 4 4 - 5 8 × 3 3 = 28 24 - 15 24 = 28 - 15 24 = 13 24 Hence, the required answer is 13 24 .

Find 2 equivalent fractions of 4 5 .

Given that to find 2 equivalent fractions of 4 5 . We know that, To find the equivalent rational numbers divide or multiply both the numerator and denominator of the fraction by the same number. 4 5 = 4 5 × 2 2 = 8 10 4 5 = 4 5 × 3 3 = 12 15 Hence, the required rational numbers are 8 10 , 12 15 .

Find 3 equivalent fractions of 36 48 .

We know that, To find the equivalent rational numbers divide or multiply both the numerator and denominator of the fraction by the same number. 36 48 = 36 48 ÷ 12 12 = 3 4 36 48 = 36 48 ÷ 4 4 = 9 12 36 48 = 36 48 ÷ 3 3 = 12 16 Hence, the required rational numbers are 3 4 , 9 12 , 12 16 .

Arrange 3 4 , 5 6 , 7 9 in ascending order.

Ascending order means arranging the numbers from smaller number to larger number. Using LCM equate all the denominators of the given numbers and compare numerators. We change the given rational numbers to their equivalent rational numbers having the same denominator. 3 4 = 3 4 × 9 9 = 27 36 5 6 = 5 6 × 6 6 = 30 36 7 9 = 7 9 × 4 4 = 28 36 So, 27 36 < 28 36 < 30 36 Obviously, 3 4 < 7 9 < 5 6 Hence, 3 4 , 7 9 , 5 6 is the required ascending order.

Arrange 4 5 , 2 3 , 6 7 in descending order.

Descending order means arranging the numbers from larger number to smaller number. Using LCM equate all the denominators of the given numbers and compare numerators. We change the given rational numbers to their equivalent rational numbers having the same denominator. LCM of 5 , 3 , 7 is 105 4 5 = 4 5 × 21 21 = 84 105 2 3 = 2 3 × 35 35 = 70 105 6 7 = 6 7 × 15 15 = 90 105 So, 90 105 > 84 105 > 70 105 Obviously, 6 7 > 4 5 > 2 3 Hence, 6 7 , 4 5 , 2 3 is the required descending order.

Reduce the fraction 48 60 to its simplest form.

A fraction p q is said to be in simplest form, if p and q are co-primes and q is always a positive integer. In the given numbers 48 , 60 are not co-primes. HCF of 48 , 60 is 12 . 48 60 = 48 60 ÷ 12 12 = 4 5 Hence, the simplest form of 48 60 is 4 5 .

Reduce the fraction 72 342 to its simplest form.

A fraction p q is said to be in simplest form, if p and q are co-primes and q is always a positive integer. In the given numbers 72 , 342 are not co-primes. HCF of 48 , 60 is 12 . 72 342 = 72 342 ÷ 18 18 = 4 19 Hence, the simplest form of 72 342 is 4 19 .

Add: 7 10 + 2 5 + 3 2

Given that to add 7 10 + 2 5 + 3 2 . 7 10 + 2 5 + 3 2 = 7 × 3 10 × 3 + 2 × 6 5 × 6 + 3 × 15 2 × 15 = 21 30 + 12 30 + 45 30 = 21 + 12 + 45 30 = 78 30 = 13 5 = 2 3 5 Hence, the required answer is 2 3 5 .