Solve the Fraction Addition: 3/10 + 1/5 + 4/10 Step-by-Step

Question

Solve the following exercise:

310+15+410=? \frac{3}{10}+\frac{1}{5}+\frac{4}{10}=\text{?}

Video Solution

Solution Steps

00:00 Solution
00:03 We want to find the least common denominator
00:06 Therefore multiply by 2 to get common denominator 10
00:10 Remember to multiply both numerator and denominator
00:19 Calculate the multiplications
00:26 Add under common denominator
00:34 Calculate the numerator
00:37 And this is the solution to the question

Step-by-Step Solution

When we have a fraction addition exercise with more than one fraction, we make sure all the denominators of the fractions are identical.

Let's find the common denominator of the fractions' denominators: 10 10 and 5 5

The common denominator is 10 10 .

Now we'll multiply both numerator and denominator of the fraction 15 \frac{1}{5} by 2 2 and create a fraction addition exercise where all denominators are 10 10 :

310+1×25×2+410=310+210+410 \frac{3}{10}+\frac{1\times2}{5\times2}+\frac{4}{10}=\frac{3}{10}+\frac{2}{10}+\frac{4}{10}

Finally, we'll add all the numerators of the fractions:

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

Answer

910 \frac{9}{10}