We are asked to solve the addition of two fractions:
$$
\frac{1}{4} + \frac{3}{20}
$$
Step 1: Find a common denominator
The denominators are 4 and 20. The least common denominator (LCD) of 4 and 20 is
20, because 20 is a multiple of 4.
Step 2: Convert $\frac{1}{4}$ to a fraction with denominator 20
To convert $\frac{1}{4}$ to a fraction with denominator 20, multiply both numerator and denominator by 5:
$$
\frac{1}{4} = \frac{1 \times 5}{4 \times 5} = \frac{5}{20}
$$
Step 3: Add the fractions
Now add:
$$
\frac{5}{20} + \frac{3}{20} = \frac{5 + 3}{20} = \frac{8}{20}
$$
Step 4: Simplify the result
Simplify $\frac{8}{20}$ by dividing both numerator and denominator by their greatest common divisor, which is 4:
$$
\frac{8 \div 4}{20 \div 4} = \frac{2}{5}
$$
✔ Final Answer:
$$
\frac{1}{4} + \frac{3}{20} = \frac{2}{5}
$$
Parent Tip: Review the logic above to help your child master the concept of fractions lowest common multiple.
