Question

Subtraction of fractions 4÷5-27÷15-4÷3

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Answer 1

$\longrightarrow{\blue{}}$ $\frac{4}{5} - \frac{27}{15} - \frac{4}{3}$

Since the denominators are unequal, we cannot simplify them.

And so we take the L.C.M. for the denominators.

The L. C. M. of 5, 15 and 3 is $15$.

Now,

$\longrightarrow{\blue{}}$ $\frac{4 \times 3}{5 \times 3} - \frac{27}{15} - \frac{4 \times 5}{3 \times 5}$

$\longrightarrow{\blue{}}$ $\frac{12}{15} - \frac{27}{15} - \frac{20}{15}$

$\longrightarrow{\blue{}}$ $\frac{12 - 27 - 20}{15}$

$\longrightarrow{\blue{}}$ $\frac{12 - 47}{15}$

$\longrightarrow{\blue{}}$ $\frac{ - 35}{15}$

$\longrightarrow{\blue{}}$ $\frac{ - 7}{ 3}$

$\longrightarrow{\blue{}}$ $- 2 \frac{1}{3}$