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# Fraction Shortcuts and Word Problems Practice Questions

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Updated on Oct 4, 2011

To review these concepts, go to Fraction Shortcuts and Word Problems Study Guide.

## Fraction Shortcuts and Word Problems Practice Questions

### Practice

Use the shortcut to add and subtract; then reduce if possible. Convert improper fractions to mixed numbers.

Use extremes over means to divide; reduce if possible. Convert improper fractions to mixed numbers.

### Word Problems Practice

Each question group relates to one of the prior fraction lessons.

#### Find the Fraction

1. John worked 14 days out of a 31-day month. What fraction of the month did he work?
2. A certain recipe calls for 3 ounces of cheese. What fraction of a 15-ounce piece of cheese is needed?
3. Alice lives 7 miles from her office. After driving 4 miles to her office, Alice's car ran out of gas. What fraction of the trip had she already driven? What fraction of the trip remained?
4. Mark had \$10 in his wallet. He spent \$6 for his lunch and left a \$1 tip. What fraction of his money did he spend on his lunch, including the tip?
5. If Heather makes \$2,000 a month and pays \$750 for rent, what fraction of her income is spent on rent?
6. During a 30-day month, there were 8 weekend days and 1 paid holiday during which Marlene's office was closed. Marlene took off 3 days when she was sick and 2 days for personal business. If she worked the rest of the days, what fraction of the month did Marlene work?

1. Stan drove miles from home to work. He decided to go out for lunch and drove miles each way to the local delicatessen. After work, he drove mile to stop at the cleaners and then drove miles home. How many miles did he drive in total?
2. An outside wall consists of inch of drywall, inches of insulation, inch of wall sheathing, and 1 inch of siding. How thick is the entire wall, in inches?
3. One leg of a table is of an inch too short. If a stack of 500 pieces of paper stands two inches tall, how many pieces of paper will it take to level out the table?
4. The length of a page in a particular book is 8 inches. The top and bottom margins are both inch. How long is the page inside the margins, in inches?
5. A rope is cut in half and is discarded. From the remaining half, is cut off and discarded. What fraction of the original rope is left?
6. The Boston Marathon is miles long. At Heartbreak Hill, miles into the race, how many miles remain?
7. Howard bought 10,000 shares of VBI stock at and sold it two weeks later at . How much of a profit did Howard realize from his stock trades, excluding commissions?
8. A window is 50 inches tall. To make curtains, Anya will need two more feet of fabric than the height of the window. How many yards of fabric will she need?
9. Bob was inches tall on his 18th birthday. When he was born, he was only inches long. How many inches did he grow in 18 years?
10. Richard needs 12 pounds of fertilizer but has only pounds. How many more pounds of fertilizer does he need?
11. A certain test is scored by adding 1 point for each correct answer and subtracting of a point for each incorrect answer. If Jan answered 31 questions correctly and 9 questions incorrectly, what was her score?

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