What is 12\times (50\div 30)+20 ?

The solution to 12\times (50\div 30)+20 is 40

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12\times (50\div 30)+20

12 \times (50 \div 30) + 20

40

Solution steps

12 \times (50 \div 30) + 20

Follow the PEMDAS order of operations

Calculate within parentheses

(50 \div 30) : \frac{50}{30}

50 \div 30

50 \div 30 = \frac{50}{30}

= \frac{50}{30}

= 12 \times \frac{50}{30} + 20

Multiply and divide (left to right)

12 \times \frac{50}{30} : 20

12 \times \frac{50}{30}

Cancel

\frac{50}{30} : \frac{5}{3}

\frac{50}{30}

Factor the number:

50 = 10 \cdot 5

= \frac{10 \cdot 5}{30}

Factor the number:

30 = 10 \cdot 3

= \frac{10 \cdot 5}{10 \cdot 3}

Cancel the common factor:

10

= \frac{5}{3}

= 12 \cdot \frac{5}{3}

12 \cdot \frac{5}{3} = 20

12 \cdot \frac{5}{3}

Convert element to fraction:

12 = \frac{12}{1}

= \frac{12}{1} \cdot \frac{5}{3}

Apply the fraction rule:

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

= \frac{12 \cdot 5}{1 \cdot 3}

Cancel

\frac{12 \cdot 5}{1 \cdot 3} : 20

\frac{12 \cdot 5}{1 \cdot 3}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{12 \cdot 5}{3}

Divide the numbers:

\frac{12}{3} = 4

= 4 \cdot 5

Multiply the numbers:

4 \cdot 5 = 20

= 20

= 20

= 20

= 20 + 20

Add and subtract (left to right)

20 + 20 : 40

20 + 20

20 + 20 = 40

= 40

= 40

4 (8 + 9)

2 (- 2)^{3} - 6 (- 2) + 3

- 3 + 5 - 4

- 3 + 5 - 3

5 \times (- 3) \times + 6