Solve the Fraction Subtraction: 5/8 minus 1/4

Question

Solve the following exercise:

5814=? \frac{5}{8}-\frac{1}{4}=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 Multiply by 2 to find the common denominator
00:08 Make sure to multiply both numerator and denominator
00:16 Calculate the products
00:19 Subtract with the common denominator
00:25 Calculate the numerator
00:28 And this is the solution to the question

Step-by-Step Solution

To solve the problem 5814\frac{5}{8} - \frac{1}{4}, we need to follow these steps:

  • Step 1: Identify a common denominator. Here, since 14\frac{1}{4} shares the denominator 4 with 8, the least common denominator (LCD) is 8.
  • Step 2: Convert 14\frac{1}{4} to have the denominator of 8 by multiplying both the numerator and denominator by 2. Thus, 14=28\frac{1}{4} = \frac{2}{8}.
  • Step 3: Perform the subtraction: 5828=38\frac{5}{8} - \frac{2}{8} = \frac{3}{8}.

Thus, the result of the subtraction 5814\frac{5}{8} - \frac{1}{4} is 38\frac{3}{8}.

Therefore, the solution to the problem is 38\frac{3}{8}.

Answer

38 \frac{3}{8}