What is 2/3 - 4/5?
Calculate 2/3 - 4/5 with a complete step-by-step solution. Learn how to subtract fractions and understand the process.
Answer:
2/3 - 4/5 = \frac{-2}{15}
Step-by-Step Solution
Step 1
Identify the Fractions
To subtract fractions, they must have the same denominator (bottom number).
\frac{2}{3} - \frac{4}{5} = ?
Step 2
Find the Common Denominator
The denominators are different (3 and 5), so we need a common denominator.
The Least Common Denominator (LCD) of 3 and 5 is 15.
\text{LCD}(3, 5) = 15
Step 3
Convert First Fraction
Multiply top and bottom by 5
\frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15}
Step 4
Convert Second Fraction
Multiply top and bottom by 3
\frac{4}{5} = \frac{4 \times 3}{5 \times 3} = \frac{12}{15}
Step 5
Subtract the Fractions
Now both fractions have the same denominator.
\frac{10}{15} - \frac{12}{15} = \frac{10 - 12}{15} = \frac{-2}{15}
Step 6
Final Answer
The result is -2/15
As a decimal: -0.133333
\frac{2}{3} - \frac{4}{5} = \frac{-2}{15}