QuestionCalculate the sum of $\frac{7}{9}$ and $\frac{1}{3}$ .

Studdy Solution

STEP 1

Assumptions1. The problem is a simple addition of two fractions $\frac{7}{9}$ and $\frac{1}{3}$ .

STEP 2

To add fractions, we need to have a common denominator. In this case, the denominators are9 and. The least common multiple (LCM) of9 and is9. So, we will use9 as our common denominator.

STEP 3

Now, we need to express each fraction with the common denominator. The fraction $\frac{7}{9}$ already has9 as its denominator, so we don't need to change it. However, for the fraction $\frac{1}{3}$ , we need to multiply both the numerator and the denominator by3 to get the equivalent fraction with9 as the denominator.
$\frac{1}{3} = \frac{1 \times3}{3 \times3} = \frac{3}{9}$

STEP 4

Now that both fractions have the same denominator, we can add them together.
$\frac{7}{9} + \frac{3}{9}$

STEP 5

To add fractions with the same denominator, we simply add the numerators and keep the denominator the same.
$\frac{7}{9} + \frac{3}{9} = \frac{7+3}{9} = \frac{10}{9}$ So, $\frac{7}{9}+\frac{1}{3} = \frac{10}{9}$ .

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