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

00:00 Solve
00:03 We want to find the smallest common denominator
00:06 Therefore we'll multiply by 2 for the common denominator 10
00:09 Remember to multiply both numerator and denominator
00:16 Let's calculate the multiplications
00:22 Add under common denominator
00:26 Calculate the numerator
00:30 And this is 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}