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Big Ideas Math: Modeling Real Life, Grade 7
BI
Big Ideas Math: Modeling Real Life, Grade 7 View details
3. Converting Between Fractions and Decimals
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Exercise 33 Page 65

Start by writing the decimal number as an improper fraction. Recall that 6.012 can be read as 6012 thousandths.

6 3250

Practice makes perfect

We want to write the given decimal number as a mixed number. 6.012We will first write it as an improper fraction. To make this easier, we can keep in mind that this number can be read as 6012 thousandths. Therefore, we can write it as a fraction with a numerator of 6012 and with a denominator of 1000. Then we can simplify the fraction by dividing both the numerator and denominator by 4.

6012/1000
ReduceFrac

a/b=.a /4./.b /4.

6012/4/1000/4
CalcQuot

Calculate quotient

1503/250

Now we can write the newly obtained fraction as a mixed number. Let's do it!

1503/250
â–¼
Write fraction as a mixed number
WriteSum

Write as a sum

1500+3/250
WriteSumFrac

Write as a sum of fractions

1500/250+3/250
CalcQuot

Calculate quotient

6+3/250
AddTerms

Add terms

6 3250

Alternative Solution

 Using Only the Decimal
Another way that we can approach this type of situation is by only looking at the decimal part. Instead of reading the given number as 6012 thousandths, we can read it as 6 and 12 thousandths. 6.012=6 12 1000 Then, just as we did before, we will simplify the fraction part by dividing the numerator and the denominator by 4.

6 121000
ReduceFrac

a/b=.a /4./.b /4.

6 12/41000/4
CalcQuot

Calculate quotient

6 3250
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arrow_right Try It p.62-63
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Try It 2 (Page 62)
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Try It 8 (Page 63)
arrow_right Self-Assessment for Concept & Skills p.63
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Self-Assessment for Concept & Skills 10 (Page 63)
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arrow_right Self-Assessment for Problem Solving p.64
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arrow_right Review & Refresh p.65
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