Question

How do you convert 2.314 (14 repeating) as a fraction?

Answer 1

Answer:

You multiply it by 1000. If you're talking about converting decimals to fractions.

Step-by-step explanation:

2.314

2 is the whole number, you leave that alone for right now.

0.314 is the decimal part.

Rewrite the decimal with a denominator of 1.

$\frac{0.314}{1}$

Because this decimal goes all way to the thousandths place, you multiply the top and the bottom by 1,000.

$\frac{0.314}{1}$ ×1000= $\frac{314}{1000\\}$

Next you simplify divide the top and bottom by the GCF (greatest common factor) in this case 2.

$\frac{3.14}{1000}$÷2

=$\frac{157}{500}$