What is 5-3(8\times 23)\div 44 ?

The solution to 5-3(8\times 23)\div 44 is -83/11

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5-3(8\times 23)\div 44

5 - 3 (8 \times 23) \div 44

- \frac{83}{11}

Solution steps

5 - 3 (8 \times 23) \div 44

Follow the PEMDAS order of operations

Calculate within parentheses

(8 \times 23) : 184

8 \times 23

8 \times 23 = 184

= 184

= 5 - 3 \cdot 184 \div 44

Multiply and divide (left to right)

3 \cdot 184 \div 44 : \frac{552}{44}

3 \cdot 184 \div 44

3 \cdot 184 = 552

= 552 \div 44

552 \div 44 = \frac{552}{44}

= \frac{552}{44}

= 5 - \frac{552}{44}

Add and subtract (left to right)

5 - \frac{552}{44} : - \frac{83}{11}

5 - \frac{552}{44}

5 - \frac{552}{44} = - \frac{83}{11}

5 - \frac{552}{44}

Cancel

\frac{552}{44} : \frac{138}{11}

\frac{552}{44}

Cancel the common factor:

4

= \frac{138}{11}

= 5 - \frac{138}{11}

Convert element to fraction:

5 = \frac{5 \cdot 11}{11}

= \frac{5 \cdot 11}{11} - \frac{138}{11}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{5 \cdot 11 - 138}{11}

5 \cdot 11 - 138 = - 83

5 \cdot 11 - 138

Multiply the numbers:

5 \cdot 11 = 55

= 55 - 138

Subtract the numbers:

55 - 138 = - 83

= - 83

= \frac{- 83}{11}

Apply the fraction rule:

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

= - \frac{83}{11}

= - \frac{83}{11}

= - \frac{83}{11}

\frac{1}{2} 5 (2 - 10)^{2}

- 4 \times 1 \times (- 5)

1 \div 9 \times 1 \div 2

2 \times (12 \div 2)^{2} - 14 + 6

(- 2)^{3} - 8

What is 5-3(8\times 23)\div 44 ?
The solution to 5-3(8\times 23)\div 44 is -83/11