Write each multiplication expression as a single fraction.

1
5

1
2

1
5

1
3

1
5

1
6

1 • 1
5 • 2

1 • 1
5 • 3

1 • 1
5 • 6

1 answer

To express each multiplication expression as a single fraction, we multiply the numerators together and the denominators together. Here are the expressions rewritten:

  1. \( \frac{1}{5} \times \frac{1}{2} = \frac{1 \times 1}{5 \times 2} = \frac{1}{10} \)

  2. \( \frac{1}{5} \times \frac{1}{3} = \frac{1 \times 1}{5 \times 3} = \frac{1}{15} \)

  3. \( \frac{1}{5} \times \frac{1}{6} = \frac{1 \times 1}{5 \times 6} = \frac{1}{30} \)

  4. \( \frac{1}{1} \times \frac{1}{5} \times \frac{1}{2} = \frac{1 \times 1 \times 1}{1 \times 5 \times 2} = \frac{1}{10} \)

  5. \( \frac{1}{1} \times \frac{1}{5} \times \frac{1}{3} = \frac{1 \times 1 \times 1}{1 \times 5 \times 3} = \frac{1}{15} \)

  6. \( \frac{1}{1} \times \frac{1}{5} \times \frac{1}{6} = \frac{1 \times 1 \times 1}{1 \times 5 \times 6} = \frac{1}{30} \)

Here are the final single fraction results for each multiplication expression:

  1. \( \frac{1}{10} \)
  2. \( \frac{1}{15} \)
  3. \( \frac{1}{30} \)
  4. \( \frac{1}{10} \)
  5. \( \frac{1}{15} \)
  6. \( \frac{1}{30} \)