What is [(-3)\div (-4)]\div [(-15)\div (+8)] ?

The solution to [(-3)\div (-4)]\div [(-15)\div (+8)] is -2/5

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[(-3)\div (-4)]\div [(-15)\div (+8)]

[(- 3) \div (- 4)] \div [(- 15) \div (+ 8)]

- \frac{2}{5}

Solution steps

[(- 3) \div (- 4)] \div [(- 15) \div (8)]

Follow the PEMDAS order of operations

Calculate within parentheses

[(- 3) \div (- 4)] : \frac{( - 3 )}{( - 4 )}

(- 3) \div (- 4)

Multiply and divide (left to right)

(- 3) \div (- 4) : \frac{( - 3 )}{( - 4 )}

(- 3) \div (- 4)

Apply rule

(- a) \div (- b) = a \div b

(- 3) \div (- 4) = 3 \div 4 = \frac{( - 3 )}{( - 4 )}

= \frac{( - 3 )}{( - 4 )}

= \frac{( - 3 )}{( - 4 )}

= \frac{( - 3 )}{( - 4 )} \div [(- 15) \div (8)]

Calculate within parentheses

[(- 15) \div (8)] : \frac{( - 15 )}{( 8 )}

(- 15) \div (8)

Multiply and divide (left to right)

(- 15) \div (8) : \frac{( - 15 )}{( 8 )}

(- 15) \div (8)

Apply rule

(- a) \div (b) = - a \div b

(- 15) \div (8) = - 15 \div 8 = \frac{( - 15 )}{( 8 )}

= \frac{( - 15 )}{( 8 )}

= \frac{( - 15 )}{( 8 )}

= \frac{( - 3 )}{( - 4 )} \div \frac{( - 15 )}{( 8 )}

Multiply and divide (left to right)

\frac{( - 3 )}{( - 4 )} \div \frac{( - 15 )}{( 8 )} : - \frac{2}{5}

\frac{( - 3 )}{( - 4 )} \div \frac{( - 15 )}{( 8 )}

Apply the fraction rule:

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

= \frac{( - 3 )}{( - 4 )} \cdot \frac{( 8 )}{( - 15 )}

Apply the fraction rule:

\frac{- a}{- b} = \frac{a}{b}

= \frac{3}{4} \cdot \frac{8}{- 15}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= \frac{3}{4} (- \frac{8}{15})

Remove parentheses:

(- a) = - a

= - \frac{3}{4} \cdot \frac{8}{15}

Multiply fractions:

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

= - \frac{3 \cdot 8}{4 \cdot 15}

Multiply the numbers:

3 \cdot 8 = 24

= - \frac{24}{4 \cdot 15}

Multiply the numbers:

4 \cdot 15 = 60

= - \frac{24}{60}

Cancel the common factor:

12

= - \frac{2}{5}

= - \frac{2}{5}

4 + 2 \div 2

- 8 \times (- 6) + 4 \times (- 6)

\frac{45/ 1 ^{5}}{9/ 1 ^{4}}

3^{5} \div 3

\frac{( 54 + 3 ^{3} )}{3 ^{3}}

What is [(-3)\div (-4)]\div [(-15)\div (+8)] ?
The solution to [(-3)\div (-4)]\div [(-15)\div (+8)] is -2/5