Solve the Fraction Addition: 1/3 + 4/9 Step-by-Step

Question

Solve the following equation:

$\frac{1}{3}+\frac{4}{9}=$

00:05 Let's solve this math problem together.

00:08 First, multiply the fraction by 3, to find a common denominator.

00:13 Remember, multiply both the numerator and the denominator.

00:21 Now, calculate what you get from these multiplications.

00:30 Next, add the fractions using the common denominator.

00:35 Finally, calculate the new numerator.

00:39 Great job! That's how we find the 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

$\frac{1\times3}{3\times3}+\frac{4\times1}{9\times1}=\frac{3}{9}+\frac{4}{9}$

Finally we'll combine and obtain the following:

$\frac{3+4}{9}=\frac{7}{9}$

$\frac{7}{9}$