What is 3/8 + 1/3?
Calculate 3/8 + 1/3 with a complete step-by-step solution. Learn how to add fractions and understand the process.
Answer:
3/8 + 1/3 = \frac{17}{24}
Step-by-Step Solution
Step 1
Identify the Fractions
We need to add two fractions: 3/8 and 1/3
To add fractions, they must have the same denominator (bottom number).
\frac{3}{8} + \frac{1}{3} = ?
Step 2
Find the Least Common Denominator (LCD)
The denominators are different (8 and 3), so we need to find a common denominator.
The LCD is the smallest number that both 8 and 3 divide into evenly.
LCD = 8 × 3 = 24
\text{LCD}(8, 3) = 24
Step 3
Convert First Fraction
Multiply 3/8 to get denominator of 24:
Multiply both top and bottom by 3
\frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24}
Step 4
Convert Second Fraction
Multiply 1/3 to get denominator of 24:
Multiply both top and bottom by 8
\frac{1}{3} = \frac{1 \times 8}{3 \times 8} = \frac{8}{24}
Step 5
Add the Fractions
Now both fractions have the same denominator (24).
Add the numerators: 9 + 8 = 17
\frac{9}{24} + \frac{8}{24} = \frac{9 + 8}{24} = \frac{17}{24}