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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 20 Page 65

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

4.13

Practice makes perfect

We want to write the given mixed number as a decimal. 4 215 We will first rewrite it as a fraction.

4 215
â–¼
Rewrite 4 215 as 62/15
MixedToFrac

a bc=a* c+b/c

4* 15+2/15
Multiply

Multiply

60+2/15
AddTerms

Add terms

62/15

We found that 4 215 is equal to 62 15 when it is written as a fraction. This means that we actually want to find the quotient 62÷ 15. We find the quotient by dividing the numerator of the fraction by its denominator. Let's do it!

$62 \div 15$

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. 4.133333... = 4.13 Therefore, 4 215 is equal to 4.13.

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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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