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## How to Convert Fractions to Decimals

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**Kristi Walker 4th Grade**How toConvert Fractions to Decimals**1**Step 1: Divide the numerator by the denominator**How it works…**1 1/4 = 1 ÷ 4 =0.25 4 Remember…. A fraction bar is just like a division sign. Lets look at the fraction 1/4:**How it works…**1 1/2 = 1 ÷ 2 =0.5 2 Lets look at the fraction 1/2:**How it works…**3 3/4 = 3 ÷ 4 =0.75 4 Lets look at the fraction 3/4:**How it works…**1 2 1/4 Part Whole 2 4 . Whole Part First: Put your whole number on the left hand side of the decimal pint. 2. Second: Convert the fraction to a decimal and put it on the right side of the decimal point. 1/4 = 1 ÷ 4 =0.25 2.25 Now, lets look at the mixed number 2 1/4:**How it works…**1 5 1/5 Part Whole 5 5 . Whole Part Now, lets look at the mixed number 5 1/5: 5.2**How it works…**6 9 6/8 Part Whole 9 8 . Whole Part Now, lets look at the mixed number 9 6/8: 9.75**Name the Fraction and the Decimal:**What fraction of the shape is shaded? 4/10 What decimaldoes 4/10 represent? 0.4**Name the Fraction and the Decimal:**What fraction of the shape is shaded? 35/100 What decimaldoes 35/100 represent? 0.35**Name the Fraction and the Decimal:**What fraction of the shape is shaded? 2/5 What decimaldoes 2/5 represent? 0.4**Name the Fraction and the Decimal:**What fraction of the shape is shaded? 5/8 What decimaldoes 5/8 represent? 0.625**Name the Mixed Number and the Decimal:**What mixed number of the shape is shaded? 3 4/10 What decimaldoes 3 4/10 represent? 3.4**Name the Fraction and the Decimal:**What mixed number of the shape is shaded? 1 3/4 What decimaldoes 1 3/4 represent? 1.75**Name the Fraction and the Decimal:**What fraction of the shape is shaded? 2 99/100 What decimaldoes 2 99/100 represent? 2.99**How it works…**.4 Step 1: Determine the place value for the last digit in your decimal. 0 . 4 Step 2: The number in your decimal will become the numerator and the place its in will become the denominator. 4/10 Ones Tenths How do I convert a decimal back to a fraction?**How it works…**.32 Step 1: Determine the place value for the last digit in your decimal. 0 . 3 2 Step 2: The number in your decimal will become the numerator and the place its in will become the denominator. 32/100 Ones Tenths Hundredths Lets look at 0.32**How it works…**.9 0 . 9 9/10 Ones Tenths Lets look at 0.9**How it works…**.71 0 . 7 1 71/100 Ones Tenths Hundredths Lets look at 0.71**Write a fraction and a decimal:**0.21 20/25 0.09 7/100 forty-three hundredths one fifth Guided Practice:**Math Book pg. 432 # 11-32**Independent Practice:**Why do I need to know how to convert between fractions and**decimals? ?**What have we learned that could help us if we saw this**problem? ¾ .8**We know how to change ¾ to a decimal. How would that help?**¾ .8 < 3 ÷ 4 = .80 .75 .8 .75 .75**Lets try another…**6/8 .7 > 6 ÷ 8 = .80 .75 .7 .75 .75**Lets try another…**¼ .25 = 1 ÷ 4 = .25**You try…**½ .48 > 1 ÷ 2 = .5**You try…**4/5 .92 < 4 ÷ 5 = .8**What have we learned that could help us if we saw this**problem? Order from least to greatest ¾ ; 0.72 ; 0.8**We know how to change ¾ to a decimal. How would that help?**¾ ; 0.72 ; 0.8 Order from least to greatest .75 .72 .8 3 ÷ 4 = .80 .75 .75 0.72 ; ¾ ; 0.8**Lets try another…**½ ; 0.49 ; 0.51 Order from least to greatest 0 .5 .49 .51 1 ÷ 2 = .5 0.49 ; ½ ; 0.51**You try…**4/5 ; 0.9 ; 0.76 Order from least to greatest .80 .75 .8 .9 .76 4 ÷ 5 = .0 .8 0.76 ; 4/5 ; 0.9**You try…**1/5 ; 0.3 ; 0.25 Order from least to greatest .80 .75 .2 .3 .25 1 ÷ 5 = .0 .2 1/5 ; 0.25 ; 0.3**Comparing and Ordering Worksheet**Independent Practice: