Answer :

To solve the expression [tex]\(\frac{32}{40} \times \frac{100}{1}\)[/tex], we can follow these steps:

1. Simplify the first fraction:

- The fraction [tex]\(\frac{32}{40}\)[/tex] can be simplified by finding the greatest common divisor (GCD) of 32 and 40, which is 8.
- Divide both the numerator and the denominator by 8:

[tex]\[
\frac{32}{40} = \frac{32 \div 8}{40 \div 8} = \frac{4}{5}
\][/tex]

2. Simplify the second fraction:

- The fraction [tex]\(\frac{100}{1}\)[/tex] is already in its simplest form, as the denominator is 1. So it remains:

[tex]\[
\frac{100}{1} = 100
\][/tex]

3. Multiply the simplified fractions:

- Multiply the two fractions together:

[tex]\[
\frac{4}{5} \times 100 = \frac{4 \times 100}{5} = \frac{400}{5}
\][/tex]

4. Simplify the result:

- Divide the result by 5:

[tex]\[
\frac{400}{5} = 80
\][/tex]

So, the final result of the multiplication [tex]\(\frac{32}{40} \times \frac{100}{1}\)[/tex] is [tex]\(80\)[/tex].

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Rewritten by : Barada