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 23 Page 65

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

- 2.94

Practice makes perfect

We want to write the given mixed number as a decimal. - 2 1718 We will first rewrite it as a fraction. Let's also ignore the negative sign for just a moment.

2 1718
â–¼
Rewrite 2 1718 as 53/18
2* 18 + 17/18
36+17/18
53/18

We found that 2 1718 is equal to 53 18 when it is written as a fraction. This means that we actually want to find the quotient 53÷ 18. We find the quotient by dividing the numerator of the fraction by its denominator. Let's do it!

$53 \div 18$

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. 2.944444... = 2.94 We found that 5318 written as a decimal is 2.94. Since we previously found that 2 1718 is equal to 5318, we can say that 2 1718 written as a decimal is 2.94. 2 1718= 5318=2.94 Therefore, - 2 1718 is equal to - 2.94.