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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 8 Page 63

Start by writing the decimal number as an improper fraction. Recall that - 10.25 can be read as - 1025 hundredths.

- 10 14

Practice makes perfect

We want to write the given decimal number as a mixed number. - 10.25We will first write it as an improper fraction. To make this easier, we can keep in mind that this number can be read as - 1025 hundredths. Therefore, we can write it as a fraction with a numerator of - 1025 and with a denominator of 100. Then we can simplify the fraction by dividing both the numerator and denominator by 25.

- 1025/100
MoveNegNumToFrac

Put minus sign in front of fraction

- 1025/100
ReduceFrac

a/b=.a /25./.b /25.

- 1025/25/100/25
CalcQuot

Calculate quotient

- 41/4

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

- 41/4
â–¼
Write fraction as a mixed number
WriteSum

Write as a sum

- 40+1/4
WriteSumFrac

Write as a sum of fractions

- (40/4+1/4)
CalcQuot

Calculate quotient

- (10+1/4)
AddTerms

Add terms

- 10 14

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 - 1025 hundredths, we can read it as -10 and 25 hundredths. - 10.25=-10 25 100 Then, just as we did before, we will simplify the fraction part by dividing the numerator and the denominator by 25.

-10 25100
ReduceFrac

a/b=.a /25./.b /25.

- 10 25/25100/25
CalcQuot

Calculate quotient

- 10 14
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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 5 (Page 63)
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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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