Question

Rewrite the following multiplication problem using the associative property and then show that both results will be the same.

3/7 x 5/6 x 1/4

Answer 1

The answer is the same i. e., 4.375 in all the cases as shown below.

Explanation:

`\frac {3}{7} * \frac {5}{6} * \frac {1}{4}`

=
`\frac {35}{8}`

=
`\frac {3}{7} * \frac {1}{4} * \frac {5}{6}`

=
`\frac {5}{6} * \frac {1}{4} * \frac {3}{7}`

=
`\frac {5}{6} * \frac {3}{7} * \frac {1}{4}`

=
`\frac {1}{4} * \frac {5}{6} * \frac {3}{7}`

=
`\frac {1}{4} * \frac {3}{7} * {5}{6}`

= 4.375 (answer)