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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 4 Page 62

Start by writing the given mixed number as a fraction. Then, divide the numerator by the denominator.

1.185

Practice makes perfect

We want to write the given mixed number as a decimal. 1 527 We will first rewrite it as a fraction.

1 527
â–¼
Rewrite 1 527 as 32/27
MixedToFrac

a bc=a* c+b/c

1* 27+5/27
IdPropMult

Identity Property of Multiplication

27+5/27
AddTerms

Add terms

32/27

We found that 1 527 is equal to 32 27 when it is written as a fraction. This means that we actually want to find the quotient 32÷ 27. We find the quotient by dividing the numerator of the fraction by its denominator. Let's do it!

$32 \div 27$



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. 1.185185... = 1.185 Therefore, 1 527 is equal to 1.185.

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