What is 2/5-3 4/7 (1/3-6) ?

The solution to 2/5-3 4/7 (1/3-6) is 20 67/105

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2/5-3 4/7 (1/3-6)

\frac{2}{5} - 3 \frac{4}{7} (\frac{1}{3} - 6)

20 \frac{67}{105}

Solution steps

\frac{2}{5} - 3 \frac{4}{7} (\frac{1}{3} - 6)

Convert mixed numbers to improper fractions:

3 \frac{4}{7} = \frac{25}{7}

= \frac{2}{5} - \frac{25}{7} (\frac{1}{3} - 6)

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{1}{3} - 6) : - \frac{17}{3}

= \frac{2}{5} - \frac{25}{7} (- \frac{17}{3})

Multiply and divide (left to right)

\frac{25}{7} (- \frac{17}{3}) : - \frac{425}{21}

= \frac{2}{5} - (- \frac{425}{21})

Add and subtract (left to right)

\frac{2}{5} - (- \frac{425}{21}) : \frac{2167}{105}

= \frac{2167}{105}

Convert improper fractions to mixed numbers:

\frac{2167}{105} = 20 \frac{67}{105}

= 20 \frac{67}{105}

5 (3) + 8 (5)

190 (20) \div 100 - 20

3 - 1 + 4

12 + (- 4) + (- 8) - 3 + 2

14 - 7 - 9 + 8 - 1 + 10