For example: 5 – The number of apples (5) corresponds to the numerator (the number which expresses the number of parts that we wish to represent).

13 – The total number of fruits (13) corresponds to the denominator (the number which expresses the number of total possible parts).

The solution to this problem is an irreducible fraction (a fraction which cannot be simplified). In these problems, we should remember how to carry out operations with fractions.

Carefully read the following problem and the steps we have taken to solve it: We find the common denominator: We calculate: Answer: Finally, we are going to look at an example of a word problem with a fraction and a whole number.

This was 1/3 hr shorter than the time he took to paint scenery.

## Math Problem Solving Fractions

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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.

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

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