Question

question 9
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write 0.42 as a fraction in simplest form.

Explanation:

Step1: Convert decimal to fraction

0.42 can be written as $\frac{0.42}{1}$. To eliminate the decimal, multiply numerator and denominator by 100 (since there are two decimal places), getting $\frac{0.42\times100}{1\times100}=\frac{42}{100}$.

Step2: Simplify the fraction

Find the greatest common divisor (GCD) of 42 and 100. The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. The GCD of 42 and 100 is 2. Divide both numerator and denominator by 2: $\frac{42\div2}{100\div2}=\frac{21}{50}$.

Answer:

$\frac{21}{50}$