Big Ideas Math: Modeling Real Life, Grade 7
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3. Converting Between Fractions and Decimals
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Exercise 14 Page 63

Start by writing the decimal number as an improper fraction. Recall that - 12.48 can be read as - 1248 hundredths.

- 12 1225

Practice makes perfect

We want to write the given decimal number as a mixed number. - 12.48We will first write it as an improper fraction. To make this easier, we can keep in mind that this number can be read as - 1248 hundredths. Therefore, we can write it as a fraction with a numerator of - 1248 and with a denominator of 100. Then we can simplify the fraction by dividing both the numerator and denominator by 4.

- 1248/100
- 1248/100
- 1248/4/100/4
- 312/25

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

- 312/25
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Write fraction as a mixed number
- 300+12/25
- (300/25+12/25)
- (12+12/25)
- 12 1225

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 - 1248 hundredths, we can read it as -12 and 48 hundredths. -12.48=-12 48 100 Then, just as we did before, we will simplify the fraction part by dividing the numerator and the denominator by 4.

-12 48100
-12 48/4100/4
- 12 1225