3. Converting Between Fractions and Decimals
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Start by writing the given mixed number as a fraction. Then, divide the numerator by the denominator.
- 3.5
We want to write the given mixed number as a decimal.
-3 12
We will first rewrite it as a fraction. Let's also ignore the negative sign for just a moment.
We found that 3 12 is equal to 7 2 when it is written as a fraction. This means that we actually want to find the quotient 7÷ 2. We find the quotient by dividing the numerator of the fraction by its denominator. Let's do it!
We found that 72 written as a decimal is 3.5. Since we previously found that 3 12 is equal to 72, we can say that 3 12 written as a decimal is 3.5. 3 12= 72=3.5 Therefore, - 3 12 is equal to - 3.5.