Solve the Fraction Addition: 1/2 + 2/10 Step-by-Step

Question

Solve the following exercise:

$\frac{1}{2}+\frac{2}{10}=$

00:05 Let's solve this problem together.

00:08 First, multiply the fraction by 5. This helps us find a common denominator.

00:15 Remember, you need to multiply both the top, which is the numerator, and the bottom, the denominator.

00:21 Okay, let's work through these multiplications step by step.

00:26 We'll use this common denominator to add the fractions easily.

00:30 Now, let's carefully calculate the new numerator.

00:34 Great job! And that's the solution to our question.

Let's try to find the lowest common denominator between 2 and 10

To find the lowest common denominator, we need to find a number that is divisible by both 2 and 10

In this case, the common denominator is 10

Now we'll multiply each fraction by the appropriate number to reach the denominator 10

We'll multiply the first fraction by 5

We'll multiply the second fraction by 1

$\frac{1\times5}{2\times5}+\frac{2\times1}{10\times1}=\frac{5}{10}+\frac{2}{10}$

Now we'll combine and get:

$\frac{5+2}{10}=\frac{7}{10}$

$\frac{7}{10}$