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

Video Solution

Solution Steps

00:00 Solve

00:03 We want to find the smallest common denominator

00:07 Multiply by 3 and 5 respectively to find the common denominator

00:10 Make sure to multiply both numerator and denominator

00:23 Calculate the multiplications

00:31 Divide by the common denominator

00:39 Calculate the numerator

00:43 Reduce the fraction as much as possible

00:49 Make sure to divide both numerator and denominator

00:53 And this is the solution to the problem

Step-by-Step Solution

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.

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 $\frac{1}{6}$ .