Question

Kesia knows that 1/4=0.25. Explain how she could use this fact to determine the decimal equivalent of 5/8

Answer 1

She knows that
$0.25 = \frac{1}{4} = \frac{2}{8}$
$\frac{5}{8} = \frac{2}{8} + \frac{2}{8} + \frac{1}{8} = \\ 0.25 + 0.25 + \frac{0.25}{2} = \\ 0.25 + 0.25 + 0.125 = 0.625$

Answer 2

Answer:

0.625

Step-by-step explanation:

We are given that

Kesia knows =$\frac{1}{4}=0.25$

We have to determine the decimal equivalent to $\frac{5}{8}$ using given decimal value.

$\frac{5}{8}$ can be written as

$\frac{5}{8}=\frac{2}{8}+\frac{2}{8}+\frac{\frac{1}{4}}{2}$

$\frac{5}{8}=\frac{1}{4}+\frac{1}{4}+\frac{\frac{1}{4}}{2}$

$\frac{5}{8}=0.25+0.25+\frac{0.25}{2}$

$\frac{5}{8}=0.50+\frac{0.25}{2}$

$\frac{5}{8}=0.625$

Hence,[tex]\frac{5}{8}=0.625/tex]