Solve the Fraction Equation: 2/4 - 1/4 Step-by-Step

Question

Solve the following exercise:

2414=? \frac{2}{4}-\frac{1}{4}=\text{?}

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given fractions and their denominators.
  • Step 2: Use the subtraction formula for fractions with like denominators.
  • Step 3: Calculate the result by subtracting the numerators and keeping the denominator constant.

Let's proceed with these steps:
Step 1: We are given the fractions 24\frac{2}{4} and 14\frac{1}{4}. Both fractions have a denominator of 4.
Step 2: Since the denominators are the same, we apply the formula for subtracting fractions: abcb=acb\frac{a}{b} - \frac{c}{b} = \frac{a-c}{b}.
Step 3: Subtract the numerators: 21=12 - 1 = 1. Keep the denominator 4 unchanged. Therefore, 2414=14\frac{2}{4} - \frac{1}{4} = \frac{1}{4}.

Thus, the solution to the problem is 14\frac{1}{4}.

Answer

14 \frac{1}{4}