Converting Decimal Fractions to Simple Fractions and Mixed Numbers: Find the missing number

Let's multiply both the numerator and denominator by a number that will help us make the denominator 10:

$\frac{1\times5}{2\times5}=\frac{5}{10}$

Next we'll rewrite the simple fraction as a decimal fraction:

$5.0$

Since we're dividing by 10, the decimal point will move one place to the left, giving us:

$.50$

Finally we'll add the 0 before the decimal point to get:

$0.50=0.5$

Let's divide both the numerator and the denominator by a number that will help us make the denominator 100:

$\frac{60:3}{300:3}=\frac{20}{100}$

Next we'll rewrite the simple fraction as a decimal fraction:

$20.0$

Since we're dividing by 100, the decimal point will move two places to the left, giving us:

$.20$

Finally we will add the 0 before the decimal point to get:

$0.20=0.2$

Let's multiply the numerator and denominator by a number that will help us make the denominator 1000:

$\frac{1\times25}{40\times25}=\frac{25}{1000}$

Next, we will rewrite the simple fraction as a decimal fraction:

$25.0$

Since we're dividing by 10, the decimal point will move three places to the left, giving us:

$.0250$

Finally we'll add the 0 before the decimal point to get:

$0.0250=0.025$

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

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are three numbers after the zero, so the number is divided by 1000

Let's write the fraction in the following way:

$\frac{0012}{1000}$

We'll then remove the unnecessary zeros as follows:

$\frac{12}{1000}$

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

$9.0$

Since the fraction divides by 10, we move the decimal point one place to the left:

$.90$

We add a zero before the decimal point as follows:

$0.90=0.9$

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

$73.0$

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

$.730$

We'll add a zero before the decimal point as follows:

$0.730=0.73$

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

$85.0$

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

$.850$

We add a zero before the decimal point as follows:

$0.850=0.85$

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

$74.0$

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

$.0740$

We'll add a zero before the decimal point as follows:

$0.0740=0.074$

Firstly we will multiply the numerator and the denominator by a number that will help us reach 100 in the denominator:

$\frac{2\times4}{25\times4}=\frac{8}{100}$

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

$8.0$

Since we are dividing by 100, the decimal point will move two places to the left, giving us:

$.080$

Finally we will add the 0 before the decimal point to get:

$0.080=0.08$

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

$19.0$

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

$.0190$

We'll add a zero before the decimal point and get:

$0.0190=0.019$

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

$3.0$

Given that the fraction divides by 10, we move the decimal point one place to the left:

$.30$

We add a zero before the decimal point as follows:

$0.30=0.3$

First we will multiply the numerator and denominator by a number that make the denominator 100.

$\frac{3\times5}{20\times5}=\frac{15}{100}$

Let's now rewrite the simple fraction as a decimal fraction:

$15.0$

Since we are dividing by 100, the decimal point will move two places to the left, giving us:

$.150$

Finally we will add 0 before the decimal point to get:

$0.150=0.15$

Let's divide both the numerator and denominator by a number that will help us get a denominator of 5:

$\frac{6:3}{15:3}=\frac{2}{5}$

Now let's multiply both the numerator and denominator by a number that will help us get a denominator of 10:

$\frac{2\times2}{5\times2}=\frac{4}{10}$

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

$4.0$

Since we are dividing by 10, the decimal point will move one place to the left, so we get:

$.40$

Let's add the 0 before the decimal point as follows:

$0.40=0.4$

First let's multiply both the numerator and denominator by a number that will help us reach 100 in the denominator:

$\frac{15\times4}{25\times4}=\frac{60}{100}$

Then we'll rewrite the simple fraction as a decimal:

$60.0$

Since we are dividing by 100, the decimal point will move two places to the left, giving us:

$.600$

We will finally add the 0 before the decimal point to get our answer:

$0.600=0.6$