Solve the Fraction Subtraction: 4/5 - 5/10 Step by Step

Question

Solve the following equation:

$\frac{4}{5}-\frac{5}{10}=$

00:00 Solve

00:02 We want to find the least common denominator

00:05 Therefore multiply by 2, to find the common denominator 10

00:08 Remember to multiply both numerator and denominator

00:14 Calculate the multiplications

00:18 Subtract under the common denominator

00:21 And this is the solution to the question

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

In order to identify the lowest common denominator, we must 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 in order to reach the denominator 10.

We'll multiply the first fraction by 2

We'll multiply the second fraction by 1

$\frac{4\times2}{5\times2}-\frac{5\times1}{10\times1}=\frac{8}{10}-\frac{5}{10}$

Finally let's subtract as follows:

$\frac{8-5}{10}=\frac{3}{10}$

$\frac{3}{10}$