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Simplify the expression:

[tex]\[
\frac{32}{40} \div \frac{16}{20}
\][/tex]

Answer :

We want to evaluate
[tex]$$
\frac{32}{40} \div \frac{16}{20}.
$$[/tex]

Step 1. Rewrite the division as multiplication by the reciprocal:
[tex]$$
\frac{32}{40} \div \frac{16}{20} = \frac{32}{40} \times \frac{20}{16}.
$$[/tex]

Step 2. Multiply the numerators together and the denominators together:
[tex]$$
\frac{32 \times 20}{40 \times 16}.
$$[/tex]

Step 3. Notice that both the numerator and denominator multiply to the same value (they are numerically equal), which gives:
[tex]$$
\frac{32 \times 20}{40 \times 16} = \frac{640}{640} = 1.
$$[/tex]

Thus, the result is
[tex]$$
\boxed{1}.
$$[/tex]

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