Solve Fraction Addition: 1/5 + 7/10 Step-by-Step

Question

Solve the following exercise:

15+710=? \frac{1}{5}+\frac{7}{10}=\text{?}

Video Solution

Solution Steps

00:05 Alright, let's solve this together.
00:08 We need to find the smallest common denominator.
00:12 So, we'll multiply by two to make a common denominator of ten.
00:17 Remember to multiply both the numerator and the denominator. This part is important!
00:23 Let's calculate those multiplications now.
00:27 Next, add under the common denominator.
00:31 Now, calculate the numerator.
00:35 And that's how we find the solution to the question!

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the least common denominator of the fractions.
  • Step 2: Convert each fraction to have this common denominator.
  • Step 3: Add the converted fractions.

Now, let's work through each step:
Step 1: The least common denominator of 5 and 10 is 10.
Step 2: Convert 15 \frac{1}{5} to a fraction with a denominator of 10. To do this, multiply both the numerator and denominator by 2:
15=1×25×2=210 \frac{1}{5} = \frac{1 \times 2}{5 \times 2} = \frac{2}{10}
Step 3: Add the converted fraction 210 \frac{2}{10} to 710 \frac{7}{10} :
210+710=2+710=910 \frac{2}{10} + \frac{7}{10} = \frac{2 + 7}{10} = \frac{9}{10}

Therefore, the solution to the problem is 910 \frac{9}{10} .

Answer

910 \frac{9}{10}