1. Converting Fractions to Decimals

2. Method 1: Long Division
Write the fraction as a long division problem (numerator ÷ denominator)
Add 2 decimal places to the dividend and put the decimal point in the answer
Complete the long division as normal, up to 5 decimals places. If the answer is a repeating decimal then mark it in your answer.

3. How to Change Fractions to Percents
Step 1 - Divide the denominator into the numerator.
Stop! You can’t
divide a larger
number into a
smaller number! 3 4

4. How to Change Fractions to Percents
Step 1 - Divide the denominator into the numerator.
Sure you can if
you use decimals.
Just watch! 3 4

5. How to Change Fractions to Percents
Step 2 – Add a decimal behind your dividend and two zeros.
Now does it look like you can divide? 3 4 4) 3
.00

6. How to Change Fractions to Percents
Step 3 – Place a decimal in your quotient exactly above the decimal.
Putting the decimal in the right spot is important. . 3 4 4) 3
.00

7. How to Change Fractions to Percents
Step 4 – Divide exactly like you would with long division. . 7 5
Great
job! 4) 3
.00 3 4
2 8 2 2

8. Method 2
Convert the fractions to an equivalent fraction with a denominator of 10 or If you can’t create an equivalent fraction with a denominator of 10 or 100 then use Method 1: Long Division
After you have a fraction out of 10 or 100, write it as a decimal

9. x2 6 10 5 3 =
0.6 = x2
x25
100 75 3 4 = =
0.75
x25

10. Mixed Numbers
The whole number stays a whole number (to the left of the decimal point) and the fraction becomes a decimal.
Ex. 15 ¾ = 15.75
4 1/8 =

11. You Try!!! .7
1.) 7/ ) /5
3.) 3/ ) 5 6/25
5.) 14/ ) /12
4.2
.375
5.24
2.25
.56