Question

11. Complete the steps to simplify the

complex fraction.
5|1|2|
10
mile
hour
miles per
10
||

Answer 1

To simplify the complex fraction
`\((5)/((1)/(2)) / (10)/(10)\)`, we multiplied by the reciprocal of the denominator and simplified, resulting in
`\((5)/(2)\)`.

To simplify the complex fraction
`\((5)/((1)/(2)) / (10)/(10)\)`, let's break it down step by step.

1. Deal with the Denominator of the Complex Fraction:

`\((1)/(2)\)` can be simplified by multiplying both the numerator and denominator by 2, resulting in
`\((2)/(1)\)`.

2. Reciprocal of the Denominator:

Taking the reciprocal of
`\((2)/(1)\)` gives us
`\((1)/(2)\)`.

3. Simplify the Numerator of the Complex Fraction:

Multiply the whole expression by 5 to simplify the numerator:
`\(5 * (1)/(2) = (5)/(2)\)`.

4. Combine the Simplified Numerator and Reciprocal of Denominator:

The expression becomes
`\((5)/(2) / (10)/(10)\)`.

5. Combine Divisions:

Divide the fractions by multiplying the first fraction by the reciprocal of the second:
`\((5)/(2) * (10)/(10)\)`.

6. Simplify the Result:

Simplify further to get
`\((5)/(2) * 1 = (5)/(2)\)`.

The final simplified form of the complex fraction is
`\((5)/(2)\)`.

The question probable may be:

Simplify the complex fraction
`\((5)/((1)/(2)) / (10)/(10)\)` step by step, providing the final expression in the form of a/b, where a and b are integers.