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

Question

Solve the following equation:

45510= \frac{4}{5}-\frac{5}{10}=

Video Solution

Solution Steps

00:05 Let's solve this problem together.
00:08 First, we need to find the least common denominator.
00:12 So, multiply by two, to get the common denominator of ten.
00:17 Remember, multiply both the numerator and the denominator by two.
00:22 Next, let's do the multiplications.
00:25 Then, subtract with the common denominator.
00:29 That's how we find the answer to the problem!

Step-by-Step Solution

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

4×25×25×110×1=810510 \frac{4\times2}{5\times2}-\frac{5\times1}{10\times1}=\frac{8}{10}-\frac{5}{10}

Finally let's subtract as follows:

8510=310 \frac{8-5}{10}=\frac{3}{10}

Answer

310 \frac{3}{10}