What is 5/6 - 3/4?
Calculate 5/6 - 3/4 with a complete step-by-step solution. Learn how to subtract fractions and understand the process.
Answer:
5/6 - 3/4 = \frac{1}{12}
Step-by-Step Solution
Step 1
Identify the Fractions
To subtract fractions, they must have the same denominator (bottom number).
\frac{5}{6} - \frac{3}{4} = ?
Step 2
Find the Common Denominator
The denominators are different (6 and 4), so we need a common denominator.
The Least Common Denominator (LCD) of 6 and 4 is 12.
\text{LCD}(6, 4) = 12
Step 3
Convert First Fraction
Multiply top and bottom by 2
\frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12}
Step 4
Convert Second Fraction
Multiply top and bottom by 3
\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}
Step 5
Subtract the Fractions
Now both fractions have the same denominator.
\frac{10}{12} - \frac{9}{12} = \frac{10 - 9}{12} = \frac{1}{12}
Step 6
Final Answer
The result is 1/12
As a decimal: 0.083333
\frac{5}{6} - \frac{3}{4} = \frac{1}{12}