What is the sum of 3/8 + 7/32 + 9/16?

To find the sum of the fractions ( \frac{3}{8} + \frac{7}{32} + \frac{9}{16} ), it's important to first express each fraction with a common denominator. In this case, the least common denominator (LCD) among the denominators 8, 32, and 16 is 32.

Next, convert each fraction:

1. ( \frac{3}{8} ) can be expressed as ( \frac{3 \times 4}{8 \times 4} = \frac{12}{32} ).

2. ( \frac{7}{32} ) is already in terms of the denominator 32.

3. To convert ( \frac{9}{16} ) to a denominator of 32, multiply by ( \frac{2}{2} ): ( \frac{9 \times 2}{16 \times 2} = \frac{18}{32} ).

Now, summing these fractions:

[

\frac{12}{32} + \frac{7}{32} + \frac{18}{32} = \frac{12 + 7 + 18}{32} = \