QuestionCalculate $\frac{10}{3} \cdot\left(\frac{11}{9}-\frac{7}{9}\right)$ .

Studdy Solution

STEP 1

Assumptions1. We are given the expression $\frac{10}{3} \cdot\left(\frac{11}{9}-\frac{7}{9}\right)$ . We need to simplify this expression3. We follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right). This is often abbreviated as PEMAS.

STEP 2

First, we need to simplify the expression inside the parentheses. This involves subtracting $\frac{7}{9}$ from $\frac{11}{9}$ .
$\frac{11}{9}-\frac{7}{9}$

STEP 3

Subtract the fractions.
$\frac{11}{9}-\frac{7}{9} = \frac{}{9}$

STEP 4

Now that we have simplified the expression inside the parentheses, we can multiply this by $\frac{10}{3}$ .
$\frac{10}{3} \cdot \frac{4}{9}$

STEP 5

Multiply the fractions.
$\frac{10}{3} \cdot \frac{4}{9} = \frac{40}{27}$ The simplified form of the given expression is $\frac{40}{27}$ .

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