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Algebra Difficulty 2.0 Junior Find the answer

What is the value of the expression 20+16×2020×16\frac{20+16 \times 20}{20 \times 16}?

A number or a short expression. Spacing and $ signs are ignored.

Solution

Evaluating, 20+16×2020×16=20+320320=340320=1716\frac{20+16 \times 20}{20 \times 16}=\frac{20+320}{320}=\frac{340}{320}=\frac{17}{16}. Alternatively, we could notice that each of the numerator and denominator is a multiple of 20, and so 20+16×2020×16=20(1+16)20×16=1+1616=1716\frac{20+16 \times 20}{20 \times 16}=\frac{20(1+16)}{20 \times 16}=\frac{1+16}{16}=\frac{17}{16}.

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