What is (1/4+6/15)\div (2/9-3/7) ?

The solution to (1/4+6/15)\div (2/9-3/7) is -63/20

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(1/4+6/15)\div (2/9-3/7)

(\frac{1}{4} + \frac{6}{15}) \div (\frac{2}{9} - \frac{3}{7})

- \frac{63}{20}

Solution steps

(\frac{1}{4} + \frac{6}{15}) \div (\frac{2}{9} - \frac{3}{7})

\frac{6}{15} = \frac{2}{5}

= (\frac{1}{4} + \frac{2}{5}) \div (\frac{2}{9} - \frac{3}{7})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{1}{4} + \frac{2}{5}) : \frac{13}{20}

= \frac{13}{20} \div (\frac{2}{9} - \frac{3}{7})

Calculate within parentheses

(\frac{2}{9} - \frac{3}{7}) : - \frac{13}{63}

= \frac{13}{20} \div (- \frac{13}{63})

Multiply and divide (left to right)

\frac{13}{20} \div (- \frac{13}{63}) : - \frac{63}{20}

= - \frac{63}{20}

\frac{1}{3} + \frac{1}{2}

145 \cdot \frac{π}{180}

lo g_{3} (9^{4})

2 i^{3} - 3 i^{2} + 5 i

3 x + 8 = 10

What is (1/4+6/15)\div (2/9-3/7) ?
The solution to (1/4+6/15)\div (2/9-3/7) is -63/20