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} $


To do :

We have to express the given numbers as mixed fractions.

Solution:

(a) $3)20(6$

    $18$

-----------

    $2$

-----------

Therefore,

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

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

(b) $5)11(2$

    $10$

-----------

    $1$

-----------

Therefore,

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

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

(c) $7)17(2$

    $14$

-----------

    $3$

-----------

Therefore,

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

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

(d) $5)28(5$

    $25$

-----------

    $3$

-----------

Therefore,

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

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

(e) $6)19(3$

    $18$

-----------

    $1$

-----------

Therefore,

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

$=3\frac{1}{6}$ 

(f) $9)35(3$

    $27$

-----------

    $8$

-----------

Therefore,

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

$=3\frac{8}{9}$ 

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Updated on: 10-Oct-2022

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