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Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
3. Converting Between Fractions and Decimals
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Exercise 25 Page 65

First rewrite the given mixed number as a fraction.

8.681

Practice makes perfect

We want to write the given mixed number as a decimal. 8 1522 We will first rewrite it as a fraction.

8 1522
â–¼
Rewrite 8 1522 as 191/22
MixedToFrac

a bc=a* c+b/c

8* 22 + 15/22
Multiply

Multiply

176+15/22
AddTerms

Add terms

191/22

We found that 8 1522 is equal to 191 22 when it is written as a fraction. This means that we actually want to find the quotient 191÷ 22. We find the quotient by dividing the numerator of the fraction by its denominator. Let's do it!

$191 \div 22$

We can see that the pattern starts to repeat itself after a few steps. This means that the decimal is a repeating decimal. We can write it using bar notation. Remember, the bar goes over the decimal part that repeats itself. 8.681818... = 8.681 We found that 19122 written as a decimal is 8.681. Since we previously found that 8 1522 is equal to 19122, we can say that 8 19122 written as a decimal is 8.681. 8 1522= 10122= 8.681

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arrow_right Self-Assessment for Concept & Skills p.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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arrow_right Concept, Skills, & Problem Solving p.65-66
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