What is (51+78)\div 32\times (2-20) ?

The solution to (51+78)\div 32\times (2-20) is -1161/16

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(51+78)\div 32\times (2-20)

(51 + 78) \div 32 \times (2 - 20)

- \frac{1161}{16}

Solution steps

(51 + 78) \div 32 \times (2 - 20)

Follow the PEMDAS order of operations

Calculate within parentheses

(51 + 78) : 129

51 + 78

51 + 78 = 129

= 129

= 129 \div 32 \times (2 - 20)

Calculate within parentheses

(2 - 20) : - 18

2 - 20

2 - 20 = - 18

= - 18

= 129 \div 32 \times (- 18)

Multiply and divide (left to right)

129 \div 32 \times (- 18) : - \frac{1161}{16}

129 \div 32 \times (- 18)

129 \div 32 = \frac{129}{32}

= \frac{129}{32} \times (- 18)

\frac{129}{32} \times (- 18) = - \frac{1161}{16}

\frac{129}{32} \times (- 18)

Apply rule

a \times (- b) = - a \times b

\frac{129}{32} \times (- 18) = - \frac{129}{32} \times 18

Convert element to fraction:

18 = \frac{18}{1}

= - \frac{129}{32} \cdot \frac{18}{1}

Apply the fraction rule:

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

\frac{129}{32} \cdot \frac{18}{1} = \frac{129 \cdot 18}{32 \cdot 1}

= - \frac{129 \cdot 18}{32 \cdot 1}

Cancel

\frac{129 \cdot 18}{32 \cdot 1} : \frac{1161}{16}

\frac{129 \cdot 18}{32 \cdot 1}

Multiply the numbers:

32 \cdot 1 = 32

= \frac{129 \cdot 18}{32}

Factor the number:

18 = 2 \cdot 9

= \frac{129 \cdot 2 \cdot 9}{32}

Factor the number:

32 = 2 \cdot 16

= \frac{129 \cdot 2 \cdot 9}{2 \cdot 16}

Cancel the common factor:

2

= \frac{129 \cdot 9}{16}

Multiply the numbers:

129 \cdot 9 = 1161

= \frac{1161}{16}

= - \frac{1161}{16}

= - \frac{1161}{16}

= - \frac{1161}{16}

(5^{2} \cdot 2^{3})^{4}

75 - 5 (2 \times 6)

- 7 (- 1)^{2} + 2

4^{3} - 2 (1)

1 + 3 (- \frac{2}{3})

What is (51+78)\div 32\times (2-20) ?
The solution to (51+78)\div 32\times (2-20) is -1161/16