You are lubricating several motors in the shop. One motor must be lubricated with \( \frac{3}{16} \) of an ounce of grease "and one larger motor must be lubricated with \( \frac{3}{8} \) of an ounce of grease. How many ounces of grease will you require? Your answer should be a fraction of an ounce, reduced to its lowest terms. You need \( \square \) of an ounce [of grease.

To find the total amount of grease required for both motors, we need to add the amounts of grease needed for each motor together. 1. The first motor requires \( \frac{3}{16} \) of an ounce of grease. 2. The larger motor requires \( \frac{3}{8} \) of an ounce of grease. To add these two fractions, we need a common denominator. The denominators are 16 and 8. The least common multiple of 16 and 8 is 16. Now, we can convert \( \frac{3}{8} \) to a fraction with a denominator of 16: \[ \frac{3}{8} = \frac{3 \times 2}{8 \times 2} = \frac{6}{16} \] Now we can add the two fractions: \[ \frac{3}{16} + \frac{6}{16} = \frac{3 + 6}{16} = \frac{9}{16} \] Thus, the total amount of grease required is \( \frac{9}{16} \) of an ounce. Therefore, you need \( \frac{9}{16} \) of an ounce of grease.