*Sometimes, as in this case, that turns out to be the least common denominator. Once the denominators are matching, subtract the numerators to get 8/21.*Example 1: Rachel rode her bike for one-fifth of a mile on Monday and two-fifths of a mile on Tuesday. Analysis: To solve this problem, we will add two fractions with like denominators.

The only thing we have to do is: As you can see, the only difference in fraction word problems is step 5 (simplify).

There are some word problems which, depending on the information provided, we should express as a fraction.

Solution: Answer: Rachel rode her bike for three-fifths of a mile altogether.

Example 2: Stefanie swam four-fifths of a lap in the morning and seven-fifteenths of a lap in the evening.

Example 6: The Cocozzelli family drove their car for five and five-sixths days to reach their vacation home, and then drove for six and one-sixth days to return home. Analysis: To solve this problem, we will subtract two mixed numbers, with the fractional parts having like denominators.

Solution: Answer: The Cocozzelli family took one-half more days to drive home.

If he needs only 10 and five-twelfths feet of wood, then how much wood should he cut?

Analysis: To solve this problem, we will subtract a mixed number from a whole number.

Example 8: An electrician has three and seven-sixteenths cm of wire.

He needs only two and five-eighths cm of wire for a job. Analysis: To solve this problem, we will subtract two mixed numbers, with the fractional parts having unlike denominators.

## Comments How To Solve Problems With Fractions

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