What is 4/3*[(3/2-2/3)+(5/3-3/4)] ?

The solution to 4/3*[(3/2-2/3)+(5/3-3/4)] is 2 1/3

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4/3*[(3/2-2/3)+(5/3-3/4)]

\frac{4}{3} \cdot [(\frac{3}{2} - \frac{2}{3}) + (\frac{5}{3} - \frac{3}{4})]

2 \frac{1}{3}

Solution steps

\frac{4}{3} [(\frac{3}{2} - \frac{2}{3}) + (\frac{5}{3} - \frac{3}{4})]

Follow the PEMDAS order of operations

Calculate within parentheses

[(\frac{3}{2} - \frac{2}{3}) + (\frac{5}{3} - \frac{3}{4})] : \frac{7}{4}

= \frac{4}{3} \cdot \frac{7}{4}

Multiply and divide (left to right)

\frac{4}{3} \cdot \frac{7}{4} : \frac{7}{3}

= \frac{7}{3}

Convert improper fractions to mixed numbers:

\frac{7}{3} = 2 \frac{1}{3}

= 2 \frac{1}{3}

2 ∣ 3 x - 1 ∣ = 8

2 (3)^{- 1}

3 a^{2} + 30 a + 63

3 x = 243

\frac{x}{3} + \frac{x}{4} + \frac{x}{5} = 94

What is 4/3*[(3/2-2/3)+(5/3-3/4)] ?
The solution to 4/3*[(3/2-2/3)+(5/3-3/4)] is 2 1/3