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10. the length of a rectangle is 16 inches, and the width is 10 inches.…

Question

  1. the length of a rectangle is 16 inches, and the width is 10 inches. write the ratio of the length to the width in simplest form.

Explanation:

Step1: Identify the values

Length = 16 inches, Width = 10 inches. The ratio of length to width is $\frac{16}{10}$.

Step2: Simplify the fraction

Find the greatest common divisor (GCD) of 16 and 10. The factors of 16 are 1, 2, 4, 8, 16. The factors of 10 are 1, 2, 5, 10. The GCD is 2. Divide numerator and denominator by 2: $\frac{16\div2}{10\div2}=\frac{8}{5}$.

Answer:

$\frac{8}{5}$ (or 8:5)