The solution to 2(3/4)/3 is 1/2

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2(3/4)/3

Solution

2 (3/4) /3

\frac{1}{2}

Solution steps

2 (3/4) /3

Follow the PEMDAS order of operations

Calculate within parentheses

(3/4) : \frac{3}{4}

3/4

3/4 = \frac{3}{4}

= \frac{3}{4}

= 2 \cdot \frac{3}{4} /3

Multiply and divide (left to right)

2 \cdot \frac{3}{4} /3 : \frac{1}{2}

2 \cdot \frac{3}{4} /3

2 \frac{3}{4} = \frac{3}{2}

2 \cdot \frac{3}{4}

Convert element to fraction:

2 = \frac{2}{1}

= \frac{2}{1} \cdot \frac{3}{4}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{2 \cdot 3}{1 \cdot 4}

\frac{2 \cdot 3}{1 \cdot 4} = \frac{3}{2}

\frac{2 \cdot 3}{1 \cdot 4}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{2 \cdot 3}{4}

Factor the number:

4 = 2 \cdot 2

= \frac{2 \cdot 3}{2 \cdot 2}

Cancel the common factor:

2

= \frac{3}{2}

= \frac{3}{2}

= \frac{3}{2} /3

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

\frac{3}{2} /3

Convert element to fraction:

3 = \frac{3}{1}

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

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

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

Cross-cancel:

3

= \frac{1}{2}

= \frac{1}{2}

= \frac{1}{2}

2000 + 1900 \cdot 4

6 (6)^{2}

9^{2} - 4 (2) (4)

48 \div (- 4) (6)

72 \div 8 + 3 - 4 \times 2 \div 4 + 6