Converting Fractions to Decimals Method 1 Long Division

Converting Fractions to Decimals

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.

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

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

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

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

How to Change Fractions to Percents • Step 4 – Divide exactly like you would with long division. 3 4 . 75 4) 3. 00 28 20 20 0 Great job!

Method 2 • Convert the fractions to an equivalent fraction with a denominator of 10 or 100. 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

3 = 6 0. 6 = 5 x 2 10 x 25 3 = 75 = 4 x 25 100 0. 75

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 = 4. 125

You Try!!! • 1. ) 7/10 . 7 2. ) 4 1/5 4. 2 • 3. ) 3/8 . 375 4. ) 5 6/25 5. 24 . 56 6. ) 2 3/12 2. 25 • 5. ) 14/25