Express the following as a mixed fraction: 19 6

We are given to express 19 6 as a mixed fraction. Procedure to express an improper into a mixed fraction: (i) Divide the numerator by the denominator (ii) The quotient becomes the whole number part of the mixed fraction (iii) The remainder becomes the numerator of the mixed fraction. (iv) The denominator remains unchanged. This means the denominator of the improper fraction becomes the denominator of the mixed fraction. Thus, we have, 3 6 1 9 - 1 8 1 Here, the quotient = 3 and the remainder = 1 . Therefore, the required mixed fraction is 3 1 6 .

Express the following as a mixed fraction: 19 6

We are given to express 19 6 as a mixed fraction. Procedure to express an improper into a mixed fraction: (i) Divide the numerator by the denominator (ii) The quotient becomes the whole number part of the mixed fraction (iii) The remainder becomes the numerator of the mixed fraction. (iv) The denominator remains unchanged. This means the denominator of the improper fraction becomes the denominator of the mixed fraction. Thus, we have, 3 6 1 9 - 1 8 1 Here, the quotient = 3 and the remainder = 1 . Therefore, the required mixed fraction is 3 1 6 .

Express the following as a mixed fraction: 35 9

We are given to express 35 9 as a mixed fraction. Procedure to express an improper into a mixed fraction: (i) Divide the numerator by the denominator (ii) The quotient becomes the whole number part of the mixed fraction (iii) The remainder becomes the numerator of the mixed fraction. (iv) The denominator remains unchanged. This means the denominator of the improper fraction becomes the denominator of the mixed fraction. Thus, we have, 3 9 3 5 - 2 7 8 Here, the quotient = 3 and the remainder = 8 . Therefore, the required mixed fraction is 3 8 9 .

Express the following as improper fraction: 7 3 4

Given fraction is 7 3 4 . We can express a mixed fraction as an improper fraction as Whole × Denominator + Numerator Denominator . Therefore, 7 3 4 = 7 × + 3 4 = 7 × 4 + 3 4 = 28 + 3 4 = 31 4 Hence, the required improper fraction is 31 4 .

Express the following as improper fraction: 5 6 7

Given fraction is 5 6 7 . We can express a mixed fraction as an improper fraction as Whole × Denominator + Numerator Denominator . Therefore, 5 6 7 = 5 × + 6 7 = 5 × 7 + 6 7 = 35 + 6 7 = 41 7 Hence, the required improper fraction is 41 7 .

Express the following as improper fraction: 2 5 6

Given fraction is 2 5 6 . We can express a mixed fraction as an improper fraction as Whole × Denominator + Numerator Denominator . Therefore, 2 5 6 = 2 × + 5 6 = 2 × 6 + 5 6 = 12 + 5 6 = 17 6 Hence, the required improper fraction is 17 6 .

Express the following as improper fraction: 10 3 5

Given fraction is 10 3 5 . We can express a mixed fraction as an improper fraction as Whole × Denominator + Numerator Denominator . Therefore, 10 3 5 = 10 × + 3 5 = 10 × 5 + 3 5 = 50 + 3 5 = 53 5 Hence, the required improper fraction is 53 5 .

Express the following as improper fraction: 9 3 7

Given fraction is 9 3 7 . We can express a mixed fraction as an improper fraction as Whole × Denominator + Numerator Denominator . Therefore, 9 3 7 = 9 × + 3 7 = 9 × 7 + 3 7 = 63 + 3 7 = 66 7 Hence, the required improper fraction is 66 7 .

Express the following as an improper fraction: 8 4 9

We are given to express the mixed fraction 8 4 9 into an improper fraction. Procedure to express a mixed fraction into an improper fraction: (i) Multiply the whole number part of the given mixed fraction by the denominator (ii) Add the numerator of the given mixed fraction to the product obtained in step (i). (iii) The sum obtained in step (ii) becomes the numerator of the required improper fraction (iv) The denominator remains unchanged. This means the denominator of the mixed fraction becomes the denominator of the improper fraction. So, the numerator of the improper fraction = 8 × 9 + 4 = 76 and the denominator of the improper fraction = 9 . Therefore, the required improper fraction is 76 9 .