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# Ratios & Percentages

# Ratios & Proportions Examples

### Example 1

At a local book store, for every one hundred books sold, 68 of them are fiction. What is the proportion of | Since 68 of every 100 sold are fiction, it’s a safe bet that the remaining books are nonfiction. So, nonfiction books for every 100 sold. Proportions are usually written as fractions, so: , which reduces to (by dividing by 4) . |

### Example 2

James has quite a bit of free time each day. He often spends 4 hours on the computer and the other 2 hours playing basketball. What is his ratio of basketball to computer time? What proportion of his free time is spent on basketball? | To answer the first question, compare the number of basketball (jamming) hours (2) to the number of computer hours (4). That’s 2:4. This ratio can be reduced to 1:2, by dividing each by 2. For the second question, compare jamming hours (2) to the total free time (). You could write this proportion like a fraction: , then reduce it to by dividing the numerator and denominator by 2. |