Free Math Worksheets

- What fraction do two fourths make? - What fraction of the post is the unpainted part? - If you know the length of one-half, how can you find the whole length?

1. Add the two known fractions: \(\frac{1}{4} + \frac{1}{4} = \frac{2}{4} = \frac{1}{2}\). 2. The underground and painted parts make up one-half of the post, so the remaining unpainted part is also one-half. 3. Since \(\frac{1}{2}\) of the post is \(3\,\text{ft}\), divide to find the whole: \(3\,\text{ft} \div \frac{1}{2} = 6\,\text{ft}\).

The fence post is \(6\,\text{ft}\) long.

- How many fourths are equal to one-half? - What fraction of the route remains for the level path? - If you know the length of one-fourth of the route, how can you find all four fourths?

1. Write one-half in fourths: \(\frac{1}{2} = \frac{2}{4}\). 2. Add the fractions for the forest and meadow: \(\frac{2}{4} + \frac{1}{4} = \frac{3}{4}\). 3. The level path is the remaining fraction: \(1 - \frac{3}{4} = \frac{1}{4}\). 4. Since \(\frac{1}{4}\) of the route is \(2\,\text{mi}\), divide to find the whole: \(2\,\text{mi} \div \frac{1}{4} = 8\,\text{mi}\).

The entire hiking route is \(8\,\text{mi}\) long.