What is 4/5 - 1/2?
Calculate 4/5 - 1/2 with a complete step-by-step solution. Learn how to subtract fractions and understand the process.
Answer:
4/5 - 1/2 = \frac{3}{10}
Step-by-Step Solution
Step 1
Identify the Fractions
To subtract fractions, they must have the same denominator (bottom number).
\frac{4}{5} - \frac{1}{2} = ?
Step 2
Find the Common Denominator
The denominators are different (5 and 2), so we need a common denominator.
The Least Common Denominator (LCD) of 5 and 2 is 10.
\text{LCD}(5, 2) = 10
Step 3
Convert First Fraction
Multiply top and bottom by 2
\frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10}
Step 4
Convert Second Fraction
Multiply top and bottom by 5
\frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10}
Step 5
Subtract the Fractions
Now both fractions have the same denominator.
\frac{8}{10} - \frac{5}{10} = \frac{8 - 5}{10} = \frac{3}{10}
Step 6
Final Answer
The result is 3/10
As a decimal: 0.3
\frac{4}{5} - \frac{1}{2} = \frac{3}{10}