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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 19 Page 65

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

1.83

Practice makes perfect

We want to write the given mixed number as a decimal. 1 56 We will first rewrite it as a fraction.

1 56
â–¼
Rewrite 1 56 as 11/6
MixedToFrac

a bc=a* c+b/c

1* 6+5/6
IdPropMult

Identity Property of Multiplication

6+5/6
AddTerms

Add terms

11/6

We found that 1 56 is equal to 11 6 when it is written as a fraction. This means that we actually want to find the quotient 11÷ 6. We find the quotient by dividing the numerator of the fraction by its denominator. Let's do it!

$11\ div 6$

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. 1.833333... = 1.83 Therefore, 1 56 is equal to 1.83.

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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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