Solve the Fraction Subtraction: 3/4 - 3/6

Video Solution

Solution Steps

00:00 Solve

00:03 We want to find the smallest common denominator

00:06 Therefore, we'll multiply each fraction by the second denominator to find the common denominator

00:09 We'll make sure to multiply both numerator and denominator

00:21 Let's calculate the multiplications

00:30 We'll divide by the common denominator

00:34 Let's calculate the numerator

00:38 Let's reduce the fraction as much as possible

00:41 We'll make sure to divide both numerator and denominator

00:46 And this is the solution to the problem

Step-by-Step Solution

To solve the subtraction of these two fractions, we follow these steps:

Step 1: Find the least common multiple (LCM) of the denominators 4 and 6. The LCM of 4 and 6 is 12.
Step 2: Convert each fraction to have this common denominator:
- For $\frac{3}{4}$ , multiply both the numerator and denominator by 3 to get $\frac{9}{12}$ .
- For $\frac{3}{6}$ , multiply both the numerator and denominator by 2 to get $\frac{6}{12}$ .
Step 3: Perform the subtraction: $\frac{9}{12} - \frac{6}{12} = \frac{3}{12}$ .
Step 4: Simplify the fraction $\frac{3}{12}$ . The greatest common divisor (GCD) of 3 and 12 is 3. Divide both numerator and denominator by 3 to get $\frac{1}{4}$ .

Therefore, the solution to the problem is $\frac{1}{4}$ .