Question

convert 70.2% to a fraction in simplest form and a decimal. answer attempt 4 out of 10 fraction: decimal (edit the repeating and non - repeating part): 0.

Explanation:

Step1: Convert percentage to fraction

$70.2\%=\frac{70.2}{100}$

Step2: Remove the decimal in the numerator

Multiply both numerator and denominator by 10 to get $\frac{70.2\times10}{100\times10}=\frac{702}{1000}$

Step3: Simplify the fraction

Find the greatest - common divisor of 702 and 1000, which is 2. Divide both numerator and denominator by 2: $\frac{702\div2}{1000\div2}=\frac{351}{500}$

Step4: Convert percentage to decimal

Divide 70.2 by 100, $70.2\div100 = 0.702$

Answer:

Fraction: $\frac{351}{500}$
Decimal: $0.702$