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

00:05 Let's solve this math problem together.
00:08 First, we'll multiply the fraction by 3. This helps us find a common denominator.
00:14 Remember! Multiply both the top number, the numerator, and the bottom number, the denominator.
00:20 Next, calculate the products of both.
00:24 Now, add the fractions. Make sure they have the same denominator.
00:28 Let's calculate the new numerator.
00:31 And now we have the solution to our question ready.

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}