Question

of the hats in lindas hat shop, 3/4 are pink and another 1/12 are yellow. what fraction of the hats are either pink or yellow? write your answer as a fraction or as a whole or mixed number.

Explanation:

Step1: Find a common denominator

The common - denominator of 4 and 12 is 12. Rewrite 3/4 with a denominator of 12. Since 4×3 = 12, then $\frac{3}{4}=\frac{3\times3}{4\times3}=\frac{9}{12}$.

Step2: Add the fractions

We want to find the fraction of hats that are either pink or yellow. So we add the fraction of pink hats and the fraction of yellow hats. $\frac{9}{12}+\frac{1}{12}=\frac{9 + 1}{12}=\frac{10}{12}$.

Step3: Simplify the fraction

Simplify $\frac{10}{12}$ by dividing both the numerator and the denominator by their greatest - common divisor, which is 2. $\frac{10\div2}{12\div2}=\frac{5}{6}$.

Answer:

$\frac{5}{6}$