What is (4-1/3)\div 11/6 ?

The solution to (4-1/3)\div 11/6 is 2

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(4-1/3)\div 11/6

(4 - \frac{1}{3}) \div \frac{11}{6}

2

Solution steps

(4 - \frac{1}{3}) \div \frac{11}{6}

Follow the PEMDAS order of operations

Calculate within parentheses

(4 - \frac{1}{3}) : \frac{11}{3}

4 - \frac{1}{3}

4 - \frac{1}{3} = \frac{11}{3}

4 - \frac{1}{3}

Convert element to fraction:

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

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

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

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

4 \cdot 3 - 1 = 11

4 \cdot 3 - 1

Multiply the numbers:

4 \cdot 3 = 12

= 12 - 1

Subtract the numbers:

12 - 1 = 11

= 11

= \frac{11}{3}

= \frac{11}{3}

= \frac{11}{3} \div \frac{11}{6}

Multiply and divide (left to right)

\frac{11}{3} \div \frac{11}{6} : 2

\frac{11}{3} \div \frac{11}{6}

Apply the fraction rule:

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

= \frac{11}{3} \cdot \frac{6}{11}

Multiply fractions:

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

= \frac{11 \cdot 6}{3 \cdot 11}

Cancel the common factor:

11

= \frac{6}{3}

Divide the numbers:

\frac{6}{3} = 2

= 2

= 2

2 (- 2) + 5

6 (6) - 20 - 32 (\frac{1}{4})

5 - [7 - 2 - (1 - 9) - 3 + 12] + 4

3 - 8 + 12 - 15 - 1 + 10 - 4

8 \div 4 \div 2