# Express the following as mixed fractions:(a) $\frac{20}{3}$(b) $\frac{11}{5}$(c) $\frac{17}{7}$(d) $\frac{28}{5}$(e) $\frac{19}{6}$(f) $\frac{35}{9}$

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To do :

We have to express the given numbers as mixed fractions.

Solution:

(a) $3)20(6$

$18$

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$2$

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Therefore,

$\frac{20}{3}=\frac{3\times6+2}{3}$

$=6\frac{2}{3}$

(b) $5)11(2$

$10$

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$1$

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Therefore,

$\frac{11}{5}=\frac{5\times2+1}{5}$

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

(c) $7)17(2$

$14$

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$3$

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Therefore,

$\frac{17}{7}=\frac{7\times2+3}{7}$

$=2\frac{3}{7}$

(d) $5)28(5$

$25$

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$3$

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Therefore,

$\frac{28}{5}=\frac{5\times5+3}{5}$

$=5\frac{3}{5}$

(e) $6)19(3$

$18$

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$1$

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Therefore,

$\frac{19}{6}=\frac{6\times3+1}{6}$

$=3\frac{1}{6}$

(f) $9)35(3$

$27$

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$8$

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Therefore,

$\frac{35}{9}=\frac{9\times3+8}{9}$

$=3\frac{8}{9}$

Updated on 10-Oct-2022 13:32:53