To give a brainliest after someone answers or multiple people answer there is a button near it that says pick as brainliest which gives that person a gold crown...sorry i dont know what each of this symbols.mean hope this help though

3 0

3 years ago

Complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions. Find 1/4 ÷ 3/8. ..................

Nataliya [291]

To complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions.

To find
$\frac{1}{4}\div\frac{3}8}$

Step 1:
Rewrite it as
$\frac{\frac{1}{4}}{\frac{3}{8}}$ .

Step 2:
Multiply the numerator and the denominator by the reciprocal of
$\frac{3}{8}$ .

 $\frac{\frac{1}{4}}{\frac{3}{8}}=\frac{\frac{1}{4}}{\frac{3}{8}}\times\frac{\frac{8}{3}}{\frac{8}{3}}$

Step 3:
Simplify the denominator
$\frac{\frac{1}{4}\times\frac{8}{3}}{1}$

Step 4:
Simplify the fraction
 $\frac{1}{4}\times\frac{8}{3}$ .

We complete the solution as follows:
 $\frac{1}{4}\times\frac{8}{3}=\frac{1\times8}{4\times3}\\ \\=\frac{8}{12}=\frac{4\times2}{4\times3}=\frac{2}{3}$

3 0

2 years ago