Question

5/12 ÷ 3/8divide. write your answer in simplest form​

Answer 1

Answer:

$\frac{10}{9}$ or $1\frac{1}{9}$

Step-by-step explanation:

We must make the next division of fractions

$\frac{5}{12}$ ÷ $\frac{3}{8}$

Remember that $(\frac{a}{b})^{-1}=\frac{b}{a}$

Then take the denominator of the division which in this case is $\frac{3}{8}$ and do $(\frac{3}{8})^{-1}$

$(\frac{3}{8})^{-1}=\frac{8}{3}$

Now multiply $\frac{5}{12}*\frac{8}{3}$

$\frac{5}{12}*\frac{8}{3}=\frac{40}{36}=\frac{4*10}{9*4}=\frac{10}{9}$

Finally

$\frac{5}{12}$ ÷ $\frac{3}{8}$$=\frac{10}{9}$

Answer 2

Answer:

$= 1 \frac { 1 } { 9 }$ or $1 . 1 1 1$

Step-by-step explanation:

We are given the following two fractions that we are to divide:

$\frac { 5 } { 1 2 }$ ÷ $\frac { 3 } { 8 }$

We can rewrite this as:

$= \frac {\frac { 5 } { 1 2 } } {\frac { 3 } { 8 } }$

To change this division into multiplication, we will take the reciprocal of the fraction in the denominator to get:

$= \frac { 5 } { 1 2 } \times \frac { 8 } { 3 }$

$= 1 \frac { 1 } { 9 }$ or $1 . 1 1 1$