Solve the Fraction Addition: 1/3 + 2/9 Step-by-Step

Question

Solve the following equation:

13+29= \frac{1}{3}+\frac{2}{9}=

Video Solution

Solution Steps

00:00 Solve
00:03 Multiply the fraction by 3 to find the common denominator
00:07 Make sure to multiply both numerator and denominator
00:11 Calculate the products
00:17 Add with the common denominator
00:22 Calculate the numerator
00:26 And this is the solution to the question

Step-by-Step Solution

We must first identify the lowest common denominator between 3 and 9.

In order to determine the lowest common denominator, we need to find a number that is divisible by both 3 and 9.

In this case, the common denominator is 9.

We will then proceed to multiply each fraction by the appropriate number to reach the denominator 9.

We'll multiply the first fraction by 3

We'll multiply the second fraction by 1

1×33×3+2×19×1=29+29 \frac{1\times3}{3\times3}+\frac{2\times1}{9\times1}=\frac{2}{9}+\frac{2}{9}

Finally we'll combine and obtain the following:

2+39=59 \frac{2+3}{9}=\frac{5}{9}

Answer

59 \frac{5}{9}