What is (3 5/7-2/7)\div 4 ?

The solution to (3 5/7-2/7)\div 4 is 6/7

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(3 5/7-2/7)\div 4

(3 \frac{5}{7} - \frac{2}{7}) \div 4

\frac{6}{7}

Solution steps

(3 \frac{5}{7} - \frac{2}{7}) \div 4

Convert mixed numbers to improper fractions:

3 \frac{5}{7} = \frac{26}{7}

3 \frac{5}{7}

Convert mixed numbers to improper fraction:

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

3 \frac{5}{7} = \frac{3 \cdot 7 + 5}{7}

= \frac{26}{7}

= (\frac{26}{7} - \frac{2}{7}) \div 4

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{26}{7} - \frac{2}{7}) : \frac{24}{7}

\frac{26}{7} - \frac{2}{7}

\frac{26}{7} - \frac{2}{7} = \frac{24}{7}

\frac{26}{7} - \frac{2}{7}

Apply rule

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

= \frac{26 - 2}{7}

Subtract the numbers:

26 - 2 = 24

= \frac{24}{7}

= \frac{24}{7}

= \frac{24}{7} \div 4

Multiply and divide (left to right)

\frac{24}{7} \div 4 : \frac{6}{7}

\frac{24}{7} \div 4

Convert element to fraction:

4 = \frac{4}{1}

= \frac{24}{7} \div \frac{4}{1}

Apply the fraction rule:

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

= \frac{24}{7} \cdot \frac{1}{4}

Cross-cancel common factor:

4

= \frac{6}{7}

= \frac{6}{7}

2 - 2 \times 1

3 + 8^{2} \div 4 \times 5 - 2

5 (- 16 \div 21 - 13) - 3 (- 7 + 15)

- 3 (6) - 1

5^{3} + 6^{3} + 1 0^{3} - 8^{3}