Solve the Fraction Subtraction: 5/10 - 2/6 Step-by-Step

Solve the following exercise:

$\frac{5}{10}-\frac{2}{6}=\text{?}$

We need to subtract the fractions $\frac{5}{10} - \frac{2}{6}$.

Step 1: Find a common denominator for the fractions. The denominators are 10 and 6.

• The Least Common Multiple (LCM) of 10 and 6 is 30.

Step 2: Convert each fraction to an equivalent fraction with the common denominator of 30.

• For $\frac{5}{10}$, multiply both the numerator and the denominator by 3 to get $\frac{15}{30}$.
• For $\frac{2}{6}$, multiply both the numerator and the denominator by 5 to get $\frac{10}{30}$.

Step 3: Subtract the fractions:

$\frac{15}{30} - \frac{10}{30} = \frac{15 - 10}{30} = \frac{5}{30}$.

Step 4: Simplify the result:

The fraction $\frac{5}{30}$ can be simplified by dividing the numerator and denominator by their greatest common divisor, which is 5.

$\frac{5}{30} = \frac{5 \div 5}{30 \div 5} = \frac{1}{6}$.

Therefore, the answer to the subtraction $\frac{5}{10} - \frac{2}{6}$ is $\frac{1}{6}$.