numbers, fractions, and decimals), using tools strategically. Apply ... WARM-UP. Write each fraction or mixed number as a decimal. 1). 6). 5). 4). 3)...
3.3 Convert Fractions to Terminating Decimals Common Core Standards 7.EE.3. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.
WARM-UP Write each fraction or mixed number as a decimal.
1 1) 10
9 2) 14 10
3 3) 9 100
43 4) 100
9 5) 8 1,000
59 6) 3 1,000
Convert Simple Fractions to Terminating Decimals How do we turn fractions not over 10, 100, or a 1,000 into a decimal?
1 7 2
1 4 3 5
3 2 8
NOTES To convert a simple fraction to a terminating decimal find an equivalent fraction with a denominator of 10, 100, or 1,000. Examples Convert the fractions to decimals.
1 2
1 25
3 9 5
EXAMPLES Ralph mixed pink paint according to the following ratio. What portion of the total paint shown will be red paint? Express your answer as a fraction and decimal. Gallons
Red
White
Total
2
3
5
NOTES When 8 is the denominator we need to convert to thousandths. Examples Convert the fractions to decimals.
3 8
5 2 8
NOTES It is helpful to convert improper fractions to mixed numbers before finding the equivalent fractions. Examples Convert the fractions to decimals.
9 4
27 25
EXAMPLES Which improper fraction is equal 2.3?
3 2
9 8
23 10
NOTES If a fraction isn't easily put over 10, 100, or 1000 look to simplify. Examples Convert the fractions to decimals.
3 12
3 75
6 4 15
EXAMPLES Convert the fractions to dollars and cents.
1 5 dollars 4
9 of a dollar 12
EXAMPLES Convert the fraction to a decimal.
0
1 4
1
2
3
?
4
PRACTICE Convert the fractions or mixed number to decimals.
9 7 20
33 2 44
13 5
7 8
PRACTICE Which improper fraction is equal 2.4?
22 10
24 11
12 5
FINAL QUESTION Kasey mixed pink paint according to the following ratio. What portion of the gallon of paint shown will be red paint? Express your answer as a fraction and decimal. Red
