Solve the Fraction Subtraction: 1/4 minus 1/8 Step-by-Step

Question

Solve the following exercise:

1418=? \frac{1}{4}-\frac{1}{8}=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 Multiply by 2 to find the common denominator
00:09 Make sure to multiply both numerator and denominator
00:16 Calculate the products
00:21 Subtract with the common denominator
00:28 Calculate the numerator
00:32 And this is the solution to the question

Step-by-Step Solution

To solve the problem 1418 \frac{1}{4} - \frac{1}{8} , we need to subtract these two fractions:

Step 1: Determine the common denominator.
The denominators are 4 and 8. The least common multiple of 4 and 8 is 8.

Step 2: Convert each fraction to an equivalent fraction with the common denominator of 8.
- Convert 14 \frac{1}{4} to 1×24×2=28\frac{1 \times 2}{4 \times 2} = \frac{2}{8}
- The fraction 18 \frac{1}{8} already has the denominator 8.

Step 3: Subtract the numerators.
Subtract 18 \frac{1}{8} from 28 \frac{2}{8} :
2818=218=18 \frac{2}{8} - \frac{1}{8} = \frac{2 - 1}{8} = \frac{1}{8}

The resulting fraction is already in its simplest form.

Therefore, the solution to the problem is 18 \frac{1}{8} .

Answer

18 \frac{1}{8}