Question

worksheet adding and subtracting fractions
1 add
\\(\frac{1}{4} + \frac{1}{12}\\) \\(\frac{1}{6} + \frac{1}{18}\\) \\(\frac{1}{7} + \frac{1}{28}\\)

Explanation:

First Problem: $\boldsymbol{\frac{1}{4} + \frac{1}{12}}$

Step1: Find common denominator

The least common denominator (LCD) of 4 and 12 is 12. Rewrite $\frac{1}{4}$ with denominator 12: $\frac{1 \times 3}{4 \times 3} = \frac{3}{12}$

Step2: Add the fractions

Now add $\frac{3}{12} + \frac{1}{12} = \frac{3 + 1}{12} = \frac{4}{12}$

Step3: Simplify the result

Simplify $\frac{4}{12}$ by dividing numerator and denominator by 4: $\frac{4 \div 4}{12 \div 4} = \frac{1}{3}$

Step1: Find common denominator

The LCD of 6 and 18 is 18. Rewrite $\frac{1}{6}$ with denominator 18: $\frac{1 \times 3}{6 \times 3} = \frac{3}{18}$

Step2: Add the fractions

Add $\frac{3}{18} + \frac{1}{18} = \frac{3 + 1}{18} = \frac{4}{18}$

Step3: Simplify the result

Simplify $\frac{4}{18}$ by dividing numerator and denominator by 2: $\frac{4 \div 2}{18 \div 2} = \frac{2}{9}$

Step1: Find common denominator

The LCD of 7 and 28 is 28. Rewrite $\frac{1}{7}$ with denominator 28: $\frac{1 \times 4}{7 \times 4} = \frac{4}{28}$

Step2: Add the fractions

Add $\frac{4}{28} + \frac{1}{28} = \frac{4 + 1}{28} = \frac{5}{28}$

Answer:

$\frac{1}{3}$

Second Problem: $\boldsymbol{\frac{1}{6} + \frac{1}{18}}$