Compute $\frac{5}{12} + \frac{3}{4}$ .

easy 1 mark Class 7 · Mathematics · Rational Numbers

Answer

\frac{7}{6}

The correct answer is $\frac{7}{6}$ — Reduce the fraction by dividing numerator and denominator by their GCD 2: $\frac{14}{12} = \frac{7}{6}$ .

Step-by-step solution

Find the common denominator of 12 and 4, which is 12.
Convert $\frac{3}{4}$ to an equivalent fraction with denominator 12: $\frac{3}{4} = \frac{9}{12}$ .
Add the numerators: $\frac{5}{12} + \frac{9}{12} = \frac{14}{12}$ .
Reduce the fraction by dividing numerator and denominator by their GCD 2: $\frac{14}{12} = \frac{7}{6}$ .

Common mistake: Forgetting to use a common denominator

Concept tested: Adding fractions