Converting Decimal Fractions to Simple Fractions and Mixed Numbers: Convert a fraction with a denominator greater than 100 to a decimal

$\frac{6}{500}=$

Let's multiply both the numerator and denominator by 2 to get 1000 in the denominator:

$\frac{6\times2}{500\times2}=\frac{12}{1000}$

Now let's write the simple fraction as a decimal fraction:

$12.0$

Since the fraction divides by 1000, we'll move the decimal point three places to the left:

$.0120$

Now let's add the zero before the decimal point and we get:

$0.0120=0.012$

0.012

$\frac{11}{1000}=$

Let's write the simple fraction as a decimal fraction:

$11.0$

Since the fraction is divided by 1000, we move the decimal point three times to the left:

$.0110$

Now let's add the zero before the decimal point and we get:

$0.0110=0.011$

0.011

$\frac{33}{1000}=$

Let's write the simple fraction as a decimal fraction:

$33.0$

Since the fraction is divided by 1000, we move the decimal point three places to the left:

$.0330$

Now let's add the zero before the decimal point and we get:

$0.0330=0.033$

0.033

$\frac{300}{1000}=$

Let's write the simple fraction as a decimal fraction:

$300.0$

Since the fraction is divided by 1000, we move the decimal point three places to the left:

$.3000$

Now let's add the zero before the decimal point and we get:

$0.3000=0.3$

0.3

$\frac{12}{300}=$

We will divide both the numerator and denominator by 3 to get 100 in the denominator:

$\frac{12:3}{300:3}=\frac{4}{100}$

Now we'll write the simple fraction as a decimal fraction:

$4.0$

Since the fraction divides by 100, we'll move the decimal point two places to the left:

$.040$

Now we'll add the zero before the decimal point and get:

$0.040=0.04$

0.04

$\frac{6}{1000}=$

Let's write the simple fraction as a decimal fraction:

$6.0$

Since the fraction divides by 1000, we move the decimal point three places to the left:

$.0060$

We fill in the zero before the decimal point and get:

$0.0060=0.006$

0.006

$0.171=$

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the decimal point represents tenths

Two numbers after the decimal point represent hundredths

Three numbers after the decimal point represent thousandths

And so on

In this case there are three numbers after the decimal point so the number is divided by 1000

Write the fraction in the following way:

$\frac{0171}{1000}$

We will remove the extra zeros and get:

$\frac{171}{1000}$

$\frac{171}{1000}$

$\frac{12}{200}=$

Let's divide both the numerator and denominator by 2 to get 100 in the denominator:

$\frac{12:2}{200:2}=\frac{6}{100}$

Now let's write the simple fraction as a decimal fraction:

$6.0$

Since the fraction divides by 100, we move the decimal point two places to the left:

$.060$

Now let's add the zero before the decimal point and we get:

$0.060=0.06$

0.06

$\frac{5}{500}=$

0.01

$\frac{20}{1000}=$

0.02

$\frac{22}{1000}=$

0.022

$\frac{77}{1000}=$

0.077

$\frac{30}{1000}=$

$0.03$

$\frac{3}{200}=$

$0.015$

$\frac{30}{150}=$

$0.2$

$1\frac{5}{200}=$

$1.025$

$2\frac{54}{900}=$

$2.06$

$2\frac{15}{150}=$

$2.1$

$2\frac{3}{300}=$

$2.01$

$0.012=$

$\frac{12}{1000}$