What is 28\times 17/56 \times (-14/5) ?

The solution to 28\times 17/56 \times (-14/5) is -119/5

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28\times 17/56 \times (-14/5)

28 \cdot \frac{17}{56} \cdot (- \frac{14}{5})

- \frac{119}{5}

Solution steps

28 \cdot \frac{17}{56} (- \frac{14}{5})

Follow the PEMDAS order of operations

Multiply and divide (left to right)

28 \cdot \frac{17}{56} = \frac{17}{2}

28 \cdot \frac{17}{56}

Convert element to fraction:

28 = \frac{28}{1}

= \frac{28}{1} \cdot \frac{17}{56}

Apply the fraction rule:

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

= \frac{28 \cdot 17}{1 \cdot 56}

\frac{28 \cdot 17}{1 \cdot 56} = \frac{17}{2}

\frac{28 \cdot 17}{1 \cdot 56}

Multiply the numbers:

1 \cdot 56 = 56

= \frac{28 \cdot 17}{56}

Factor the number:

56 = 28 \cdot 2

= \frac{28 \cdot 17}{28 \cdot 2}

Cancel the common factor:

28

= \frac{17}{2}

= \frac{17}{2}

= \frac{17}{2} (- \frac{14}{5})

\frac{17}{2} \cdot (- \frac{14}{5}) = - \frac{119}{5}

\frac{17}{2} (- \frac{14}{5})

Apply rule

a \cdot (- b) = - a \cdot b

\frac{17}{2} (- \frac{14}{5}) = - \frac{17}{2} \cdot \frac{14}{5}

Apply the fraction rule:

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

\frac{17}{2} \cdot \frac{14}{5} = \frac{17 \cdot 14}{2 \cdot 5}

= - \frac{17 \cdot 14}{2 \cdot 5}

Cancel

\frac{17 \cdot 14}{2 \cdot 5} : \frac{119}{5}

\frac{17 \cdot 14}{2 \cdot 5}

Factor the number:

14 = 2 \cdot 7

= \frac{17 \cdot 2 \cdot 7}{2 \cdot 5}

Cancel the common factor:

2

= \frac{17 \cdot 7}{5}

Multiply the numbers:

17 \cdot 7 = 119

= \frac{119}{5}

= - \frac{119}{5}

= - \frac{119}{5}

115 - 42 - 37

(24 - 16) \times 5

(64 - 4) \div 20 - 3^{2}

(- 5) + (+ 2) - (- 1) + (- 7)

(+ 3) \times (- 5) \times (+ 2)

What is 28\times 17/56 \times (-14/5) ?
The solution to 28\times 17/56 \times (-14/5) is -119/5