Solve the Fraction Addition: 2/5 + 1/4 Step-by-Step

Question

Solve the following exercise:

25+14= \frac{2}{5}+\frac{1}{4}=

Video Solution

Solution Steps

00:00 Solve
00:03 Multiply each fraction by the second denominator to find the common denominator
00:07 Make sure to multiply both numerator and denominator
00:14 Calculate the products
00:19 Add with the common denominator
00:23 Calculate the numerator
00:27 And this is the solution to the question

Step-by-Step Solution

Let's try to find the lowest common denominator between 5 and 4

To find the lowest common denominator, we need to find a number that is divisible by both 5 and 4

In this case, the common denominator is 20

Now we'll multiply each fraction by the appropriate number to reach the denominator 20

We'll multiply the first fraction by 4

We'll multiply the second fraction by 5

2×45×4+1×54×5=820+520 \frac{2\times4}{5\times4}+\frac{1\times5}{4\times5}=\frac{8}{20}+\frac{5}{20}

Now we'll combine and get:

8+520=1320 \frac{8+5}{20}=\frac{13}{20}

Answer

1320 \frac{13}{20}