Solve the Fraction Subtraction: 3/5 minus 5/10

Video Solution

Solution Steps

00:05 Let's get started by solving the problem.

00:09 First, multiply everything by 2 to find the common denominator.

00:14 Make sure you multiply both the top number and the bottom number.

00:18 Now, let's calculate, the multiplications.

00:25 Continue by dividing the result by the common denominator.

00:31 Now, calculate the new top number.

00:35 And that's how we find the solution to the problem!

Step-by-Step Solution

To solve this problem, we'll follow a step-by-step approach:

Step 1: Convert both fractions to have the same denominator.
- The original fractions are $\frac{3}{5}$ and $\frac{5}{10}$ .
- Convert $\frac{3}{5}$ to a fraction with denominator 10. Multiply both numerator and denominator by 2:
$\frac{3}{5} \times \frac{2}{2} = \frac{6}{10}$ .
Step 2: Subtract the fractions now that they have a common denominator.
- The fractions to subtract are $\frac{6}{10} - \frac{5}{10}$ .
Step 3: Perform the subtraction by subtracting numerators.
- $\frac{6}{10} - \frac{5}{10} = \frac{6-5}{10} = \frac{1}{10}$ .
Step 4: Verify if simplification is necessary.
- The fraction $\frac{1}{10}$ is already in its simplest form.

Therefore, the solution to $\frac{3}{5}-\frac{5}{10}$ is $\frac{1}{10}$ .