Question

Do the following division and explain the answer as a mixed fraction also

a.2/3÷1/5
b.2/3÷1/6
c.3/8÷3/4
d.5/6÷2/3​

Answer 1

Answer :

★ Division of the mixed fraction :-

a) $\dfrac{2}{3}$ ÷ $\dfrac{1}{5}$

= $\dfrac{2}{3}$ ÷ $\dfrac{1}{5}$

= $\dfrac{2}{3}$ × 5

= $\dfrac{10}{3}$

= $3\dfrac{1}{3}$

$\rule{200}{2}$

b) $\dfrac{2}{3}$ ÷ $\dfrac{1}{6}$

= $\dfrac{2}{3}$ ÷ $\dfrac{1}{6}$

= $\dfrac{2}{3}$ × 6

= 2 × 2

= 4

Note :- It cannot be changed into mixed fraction because it is completely divisible.

$\rule{200}{2}$

c) $\dfrac{3}{8}$ ÷ $\dfrac{3}{4}$

= $\dfrac{3}{8}$ ÷ $\dfrac{3}{4}$

= $\dfrac{3}{8}$ × $\dfrac{4}{3}$

= $\dfrac{1}{2}$ × $\dfrac{1}{1}$

= $\dfrac{1}{2}$

Note - It cannot be changed to mixed fraction because the numerator is smaller then the denominator.

$\rule{200}{2}$

d) $\dfrac{</strong><strong>5</strong><strong>}{</strong><strong>6</strong><strong>}$ ÷ $\dfrac{</strong><strong>2</strong><strong>}{</strong><strong>3</strong><strong>}$

= $\dfrac{5}{6}$ ÷ $\dfrac{2}{3}$

= $\dfrac{5}{6}$ × $\dfrac{3}{2}$

= $\dfrac{5}{2}$ × $\dfrac{1}{2}$

= $\dfrac{5}{4}$

= $1\dfrac{1}{4}$

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