What is 2+5\times 4-8\div 4/5 ?

The solution to 2+5\times 4-8\div 4/5 is 12

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2+5\times 4-8\div 4/5

2 + 5 \times 4 - 8 \div \frac{4}{5}

12

Solution steps

2 + 5 \times 4 - 8 \div \frac{4}{5}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

5 \times 4 : 20

5 \times 4

5 \times 4 = 20

= 20

= 2 + 20 - 8 \div \frac{4}{5}

Multiply and divide (left to right)

8 \div \frac{4}{5} : 10

8 \div \frac{4}{5}

Convert element to fraction:

8 = \frac{8}{1}

= \frac{8}{1} \div \frac{4}{5}

Apply the fraction rule:

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

= \frac{8}{1} \cdot \frac{5}{4}

Cross-cancel common factor:

4

= \frac{2}{1} \cdot \frac{5}{1}

Multiply fractions:

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

= \frac{2 \cdot 5}{1 \cdot 1}

Multiply the numbers:

2 \cdot 5 = 10

= \frac{10}{1 \cdot 1}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{10}{1}

Apply rule

\frac{a}{1} = a

= 10

= 2 + 20 - 10

Add and subtract (left to right)

2 + 20 - 10 : 12

2 + 20 - 10

2 + 20 = 22

= 22 - 10

22 - 10 = 12

= 12

= 12

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

4^{2} \times 5

(- 4)^{2} - 8

- 2 (- 4) - 1

7 - 12 + (- 3) \div (- 3) \times 6 \div (- 9)