What is 42\div 15*10-8 ?

The solution to 42\div 15*10-8 is 20

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42\div 15*10-8

42 \div 15 \cdot 10 - 8

20

Solution steps

42 \div 15 \cdot 10 - 8

Follow the PEMDAS order of operations

Multiply and divide (left to right)

42 \div 15 \cdot 10 : 28

42 \div 15 \cdot 10

42 \div 15 = \frac{42}{15}

= \frac{42}{15} \cdot 10

\frac{42}{15} \cdot 10 = 28

\frac{42}{15} \cdot 10

Cancel

\frac{42}{15} : \frac{14}{5}

\frac{42}{15}

Factor the number:

42 = 3 \cdot 14

= \frac{3 \cdot 14}{15}

Factor the number:

15 = 3 \cdot 5

= \frac{3 \cdot 14}{3 \cdot 5}

Cancel the common factor:

3

= \frac{14}{5}

= \frac{14}{5} \cdot 10

\frac{14}{5} \cdot 10 = 28

\frac{14}{5} \cdot 10

Convert element to fraction:

10 = \frac{10}{1}

= \frac{14}{5} \cdot \frac{10}{1}

Apply the fraction rule:

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

= \frac{14 \cdot 10}{5 \cdot 1}

Cancel

\frac{14 \cdot 10}{5 \cdot 1} : 28

\frac{14 \cdot 10}{5 \cdot 1}

Multiply the numbers:

5 \cdot 1 = 5

= \frac{14 \cdot 10}{5}

Divide the numbers:

\frac{10}{5} = 2

= 14 \cdot 2

Multiply the numbers:

14 \cdot 2 = 28

= 28

= 28

= 28

= 28

= 28 - 8

Add and subtract (left to right)

28 - 8 : 20

28 - 8

28 - 8 = 20

= 20

= 20

2^{5} - 2^{4}

7^{5} + 13 \frac{11}{20}

(- 5)^{2} \times (- 3) + (- 6)

- 5^{2} + 5 (- 5)

8 \div 2^{3} - (- 7)^{2} + (- 12)^{2}