Question

1. reagan is buying candy by the pound, and her bag of candy weighs 0.45 pounds. express this decimal as a fraction in simplest form.

Explanation:

Step1: Write the decimal as a fraction

The decimal 0.45 can be written as $\frac{45}{100}$ since 0.45 means 45 hundredths.

Step2: Simplify the fraction

Find the greatest - common divisor (GCD) of 45 and 100. The factors of 45 are 1, 3, 5, 9, 15, 45. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. The GCD of 45 and 100 is 5. Divide both the numerator and the denominator by 5: $\frac{45\div5}{100\div5}=\frac{9}{20}$.

Answer:

$\frac{9}{20}$