What you need to know

Things to remember:

  • Think about the place value of each digit and how many hundredths it is worth.
  • Write how many hundredths you have as a fraction over 100.

What is 0.32 as a fraction?

Let’s consider the place values:

Tenths\rightarrow 3

  Hundredths\rightarrow 2

We need to remember that each tenth is made up of 10 hundredths, so 3 tenths is worth 3\times10=30 hundredths. Then we add how many hundredths there are, 30+2=32 hundredths. And now we just put this as a fraction over 100.

0.32=\frac{32}{100}

So, we can do this in 3 steps:

What is 0.67 as a fraction?

Step 1: Multiply the tenths by 10.

6\times10=60

Step 2: Add the hundredths to the number in Step 1.

60+7=67

Step 3: Write the number in Step 2 as a fraction over 100.

0.67=\frac{67}{100}

Example Questions

Question 1: What is 0.23 as a fraction?

Answer

Step 1: Multiply the tenths by 10.

 

2\times10=20

 

Step 2: Add the hundredths to the number in Step 1.

 

20+3=23

 

Step 3: Write the number in Step 2 as a fraction over 100.

 

0.23=\frac{23}{100}

Question 2: What is 0.99 as a fraction?

Answer

Step 1: Multiply the tenths by 10.

 

9\times10=90

 

Step 2: Add the hundredths to the number in Step 1.

 

90+9=99

 

Step 3: Write the number in Step 2 as a fraction over 100.

 

0.99=\frac{99}{100}