Question

How do I get 8/3 and 5 to cancel each other out?

Answer 1

To cancel out
`\( (8)/(3) \)` and 5, you can multiply
`\( (8)/(3) \)` by its reciprocal, which is
`\( (3)/(8) \).` The result will be 1, and when you multiply 1 by 5, the expression effectively cancels out, leaving you with 5.

Step-by-step explanation:

Canceling out fractions involves multiplying a fraction by its reciprocal, resulting in a product of 1. In this scenario, to cancel
`\( (8)/(3) \)` and 5, you multiply
`\( (8)/(3) \)` by the reciprocal of
`\( (3)/(8) \)`, which is
`\( (3)/(8) \)`. The multiplication is done as follows:
`\( (8)/(3) * (3)/(8) \).` The numerator and denominator of
`\( (8)/(3) \)` and
`\( (3)/(8) \)` cancel each other out, resulting in
`\( (8 * 3)/(3 * 8) = 1 \)`. Finally, multiplying 1 by 5 gives you the final result of 5.

In mathematical terms, this cancellation process can be represented as
`\( (8)/(3) * (3)/(8) * 5 = 1 * 5 = 5 \)`. Therefore, the expression
`\( (8)/(3) \)` and 5 cancel each other out, and the solution is 5.

In summary, the cancellation of
`\( (8)/(3) \)` and 5 involves multiplying
`\( (8)/(3) \)` by its reciprocal,
`\( (3)/(8) \),` resulting in 1. Multiplying 1 by 5 gives the final answer of 5.