Question

what is the equivalent of 0.86 when converted to a fraction and reduced to the lowest terms?
86/100
43/50
14/100
7/50

Explanation:

Step1: Convert decimal to fraction

0.86 can be written as $\frac{86}{100}$ since 0.86 means 86 hundredths.

Step2: Simplify the fraction

Find the greatest - common divisor (GCD) of 86 and 100. The factors of 86 are 1, 2, 43, 86. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. The GCD of 86 and 100 is 2. Divide both the numerator and denominator by 2: $\frac{86\div2}{100\div2}=\frac{43}{50}$.

Answer:

B. $\frac{43}{50}$