Kristi Walker 4 th Grade How to Convert Fractions to Decimals

When you see a Fraction Bar you should think Divide / = ÷

Step 1: Divide the numerator by the denominator 1

1 1/4 = 1 ÷ 4 = 0.25 How it works… Lets look at the fraction 1/4: 4 Remember…. A fraction bar is just like a division sign.

1 1/2 = 1 ÷ 2 = 0.5 How it works… Lets look at the fraction 1/2: 2

3 3/4 = 3 ÷ 4 = 0.75 How it works… Lets look at the fraction 3/4: 4

1 2 1/4 How it works… Now, lets look at the mixed number 2 1/4: 4 2 First: Put your whole number on the left hand side of the decimal pint Second: Convert the fraction to a decimal and put it on the right side of the decimal point. 1/4 = 1 ÷ 4 = Whole Part WholePart.

1 5 1/5 How it works… Now, lets look at the mixed number 5 1/5: Whole Part WholePart.

6 9 6/8 How it works… Now, lets look at the mixed number 9 6/8: Whole Part WholePart.

What decimal does 4/10 represent? 0.4 What fraction of the shape is shaded? 4/10 Name the Fraction and the Decimal:

What decimal does 35/100 represent? 0.35 What fraction of the shape is shaded? 35/100 Name the Fraction and the Decimal:

What decimal does 2/5 represent? 0.4 What fraction of the shape is shaded? 2/5 Name the Fraction and the Decimal:

What decimal does 5/8 represent? What fraction of the shape is shaded? 5/8 Name the Fraction and the Decimal:

What decimal does 3 4/10 represent? 3.4 What mixed number of the shape is shaded? 3 4/10 Name the Mixed Number and the Decimal:

What decimal does 1 3/4 represent? 1.75 What mixed number of the shape is shaded? 1 3/4 Name the Fraction and the Decimal:

What decimal does 2 99/100 represent? 2.99 What fraction of the shape is shaded? 2 99/100 Name the Fraction and the Decimal:

.4 How it works… How do I convert a decimal back to a fraction? Tenths Step 1: Determine the place value for the last digit in your decimal Step 2: The number in your decimal will become the numerator and the place its in will become the denominator. 4/10 Ones

.32 How it works… Lets look at 0.32 Step 1: Determine the place value for the last digit in your decimal Step 2: The number in your decimal will become the numerator and the place its in will become the denominator. 32/100 TenthsOnes Hundredth s

.9 How it works… Lets look at 0.9 Tenths /10 Ones

.71 How it works… Lets look at /100 TenthsOnes Hundredth s

Guided Practice: Write a fraction and a decimal: / / forty-three hundredths 6. one fifth 7. 8.

Independent Practice: Math Book pg. 432 # 11-32

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 = <

Lets try another… 6/8.7 6 ÷ 8 = >

Lets try another… ¼.25 1 ÷ 4 =.25 =

You try… ½.48 1 ÷ 2 =.5 >

You try… 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 ; ÷ 4 = Order from least to greatest 0.72 ; ¾ ; 0.8

0 Lets try another… ½ ; 0.49 ; ÷ 2 = Order from least to greatest 0.49 ; ½ ; 0.51

You try… 4/5 ; 0.9 ; ÷ 5 = Order from least to greatest 0.76 ; 4/5 ;

You try… 1/5 ; 0.3 ; ÷ 5 = Order from least to greatest 1/5 ; 0.25 ;

Independent Practice: Comparing and Ordering Worksheet