Big Ideas Math: Modeling Real Life, Grade 7
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3. Converting Between Fractions and Decimals
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Exercise 32 Page 65

Start by writing the decimal number as an improper fraction. Recall that - 1.64 can be read as - 164 hundredths.

- 1 1625

Practice makes perfect

We want to write the given decimal number as a mixed number. - 1.64We will first write it as an improper fraction. To make this easier, we can keep in mind that this number can be read as - 164 hundredths. Therefore, we can write it as a fraction with a numerator of - 164 and with a denominator of 100. Then we can simplify the fraction by dividing both the numerator and denominator by 4.

- 164/100
- 164/100
- 164/4/100/4
- 41/25

Now we can write the newly obtained fraction as a mixed number. Let's do it!

- 41/25
â–¼
Write fraction as a mixed number
- 25+16/25
- (25/25+16/25)
- (1+16/25)
- 1 1625

Alternative Solution

Using Only the Decimal
Another way that we can approach this type of situation is by only looking at the decimal part. Instead of reading the given number as - 164 hundredths, we can read it as -1 and 64 hundredths. - 1.64=-1 64 100 Then, just as we did before, we will simplify the fraction part by dividing the numerator and the denominator by 4.

-1 64100
-1 64/4100/4
- 1 1625