What is 3(1 1/3+1/4) ?

The solution to 3(1 1/3+1/4) is 4 3/4

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3(1 1/3+1/4)

3 (1 \frac{1}{3} + \frac{1}{4})

4 \frac{3}{4}

Solution steps

3 (1 \frac{1}{3} + \frac{1}{4})

Convert mixed numbers to improper fractions:

1 \frac{1}{3} = \frac{4}{3}

= 3 (\frac{4}{3} + \frac{1}{4})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{4}{3} + \frac{1}{4}) : \frac{19}{12}

= 3 \cdot \frac{19}{12}

Multiply and divide (left to right)

3 \cdot \frac{19}{12} : \frac{19}{4}

= \frac{19}{4}

Convert improper fractions to mixed numbers:

\frac{19}{4} = 4 \frac{3}{4}

= 4 \frac{3}{4}

6 \cdot [18 + (- 4) \cdot (9 - 4)] - 13

- 2 (2)^{5}

2 - 4 - (- 8)

(- 12 + 2 - 1) - 12 + (10 + 17 - 27)

3 (2)^{4} - 5 (2) (- 3) + (- 3)^{2}