Solve the Fraction Addition: 1/5 + 3/10 + 2/5 Step-by-Step

Question

Solve the following exercise:

15+310+25=? \frac{1}{5}+\frac{3}{10}+\frac{2}{5}=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 Multiply the 2 fractions with the small denominator by 2
00:07 We'll do this to get a common denominator of 10 in all fractions
00:13 Remember to multiply both numerator and denominator
00:28 Calculate the multiplications
00:37 Add under common denominator
00:45 Calculate the numerator
00:48 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we need to add the fractions 15\frac{1}{5}, 310\frac{3}{10}, and 25\frac{2}{5}.

First, we need to find a common denominator for all the fractions. The denominators we have are 5, 10, and 5. The least common multiple (LCM) of these numbers is 10.

Let's convert each fraction to have a denominator of 10:

  • 15\frac{1}{5} can be converted to: 1×25×2=210\frac{1 \times 2}{5 \times 2} = \frac{2}{10}
  • 310\frac{3}{10} is already with a denominator of 10, so it remains: 310\frac{3}{10}
  • 25\frac{2}{5} can be converted to: 2×25×2=410\frac{2 \times 2}{5 \times 2} = \frac{4}{10}

Now we can add the fractions:

210+310+410=2+3+410=910\frac{2}{10} + \frac{3}{10} + \frac{4}{10} = \frac{2 + 3 + 4}{10} = \frac{9}{10}

Therefore, the sum of the fractions is 910\frac{9}{10}.

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

Answer

910 \frac{9}{10}