Question

homework: module a part 1 review
score: 15/30 answered: 15/30
question 16
add: $\frac{3}{28}+\frac{1}{12}$
give your answer in reduced terms.
question help: worked example 1 post to forum

Explanation:

Step1: Find the least - common denominator

The denominators are 28 and 12. Prime - factorize: 28 = 2×2×7, 12 = 2×2×3. The least - common denominator (LCD) is 2×2×3×7=84.

Step2: Rewrite the fractions with the LCD

$\frac{3}{28}=\frac{3\times3}{28\times3}=\frac{9}{84}$ and $\frac{1}{12}=\frac{1\times7}{12\times7}=\frac{7}{84}$.

Step3: Add the fractions

$\frac{9}{84}+\frac{7}{84}=\frac{9 + 7}{84}=\frac{16}{84}$.

Step4: Reduce the fraction

$\frac{16}{84}=\frac{16\div4}{84\div4}=\frac{4}{21}$.

Answer:

$\frac{4}{21}$