Question

1. the length of a rectangle is 22 inches, and the width is 12 inches. write the ratio of the length to the width in simplest form.
2. multiply: $(-1.3) \times (-0.9)$

Explanation:

Problem 11

Step1: Identify the ratio components

The length is 22 inches and the width is 12 inches. The ratio of length to width is \( \frac{22}{12} \).

Step2: Simplify the fraction

Find the greatest common divisor (GCD) of 22 and 12. The GCD of 22 and 12 is 2. Divide both the numerator and the denominator by 2: \( \frac{22\div2}{12\div2} = \frac{11}{6} \).

Step1: Recall the rule for multiplying negative numbers

The product of two negative numbers is positive. So, \( (-1.3) \times (-0.9) = 1.3 \times 0.9 \).

Step2: Multiply the decimals

Multiply 1.3 and 0.9. \( 1.3 \times 0.9 = 1.17 \).

Answer:

\( \frac{11}{6} \) (or 11:6)

Problem 13