Solve Fraction Subtraction: 3/5 minus 3/10 Step-by-Step

Question

Solve the following equation:

$\frac{3}{5}-\frac{3}{10}=$

00:05 Let's work on the solution together.

00:08 First, we need to find the least common denominator.

00:12 To do this, we multiply by 2 to get the common denominator, 10.

00:17 Don't forget to multiply both the top and the bottom numbers.

00:22 Now, let's do the multiplication calculations.

00:25 Then, subtract under the common denominator.

00:29 And there you have it, that's the solution to our question!

Let's begin by identifying the lowest common denominator between 5 and 10.

In order to determine the lowest common denominator, we need to find a number that is divisible by both 5 and 10.

In this case, the common denominator is 10.

Let's proceed to multiply each fraction by the appropriate number to reach the denominator 10.

We'll multiply the first fraction by 2

We'll multiply the second fraction by 1

$\frac{3\times2}{5\times2}-\frac{3\times1}{10\times1}=\frac{6}{10}-\frac{3}{10}$

Finally let's subtract as follows:

$\frac{6-3}{10}=\frac{3}{10}$

$\frac{3}{10}$