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 7 Page 63

Start by writing the decimal number as an improper fraction. Recall that - 3.1 can be read as - 31 tenths.

- 3 110

Practice makes perfect

We want to write the given decimal number as a mixed number. - 3.1We will first write it as an improper fraction. To make this easier, we can keep in mind that this number can be read as - 31 tenths. Therefore, we can write it as a fraction with a numerator of - 31 and with a denominator of 10. - 3.1=31/10 Now we can write the newly obtained fraction as a mixed number. Let's do it!

- 31/10
â–¼
Write fraction as a mixed number
- 30+1/10
- (30/10+1/10)
- (3+1/10)
- 3 110

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 - 31 tenths, we can read it as -3 and 1 tenth. -3.1=-3 1 10