What is 2\times 14\div (6-4\times 15)+2\times 9 ?

The solution to 2\times 14\div (6-4\times 15)+2\times 9 is 17 13/27

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Popular >

2\times 14\div (6-4\times 15)+2\times 9

Solution

2 \times 14 \div (6 - 4 \times 15) + 2 \times 9

Solution

17 \frac{13}{27}

Solution steps

2 \times 14 \div (6 - 4 \times 15) + 2 \times 9

Follow the PEMDAS order of operations

Calculate within parentheses

(6 - 4 \times 15) : - 54

6 - 4 \times 15

Multiply and divide (left to right)

4 \times 15 : 60

4 \times 15

4 \times 15 = 60

= 60

= 6 - 60

Add and subtract (left to right)

6 - 60 : - 54

6 - 60

6 - 60 = - 54

= - 54

= - 54

= 2 \times 14 \div (- 54) + 2 \times 9

Multiply and divide (left to right)

2 \times 14 \div (- 54) : \frac{28}{( - 54 )}

2 \times 14 \div (- 54)

2 \times 14 = 28

= 28 \div (- 54)

Apply rule

a \div (- b) = - a \div b

28 \div (- 54) = - 28 \div 54 = \frac{28}{( - 54 )}

= \frac{28}{( - 54 )}

= \frac{28}{( - 54 )} + 2 \times 9

Multiply and divide (left to right)

2 \times 9 : 18

2 \times 9

2 \times 9 = 18

= 18

= \frac{28}{( - 54 )} + 18

Add and subtract (left to right)

\frac{28}{( - 54 )} + 18 : \frac{472}{27}

\frac{28}{( - 54 )} + 18

\frac{28}{( - 54 )} + 18 = \frac{472}{27}

\frac{28}{- 54} + 18

\frac{28}{- 54} = - \frac{14}{27}

\frac{28}{- 54}

Apply the fraction rule:

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

= - \frac{28}{54}

Cancel the common factor:

2

= - \frac{14}{27}

= - \frac{14}{27} + 18

Convert element to fraction:

18 = \frac{18 \cdot 27}{27}

= \frac{18 \cdot 27}{27} - \frac{14}{27}

Since the denominators are equal, combine the fractions:

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

= \frac{18 \cdot 27 - 14}{27}

18 \cdot 27 - 14 = 472

18 \cdot 27 - 14

Multiply the numbers:

18 \cdot 27 = 486

= 486 - 14

Subtract the numbers:

486 - 14 = 472

= 472

= \frac{472}{27}

= \frac{472}{27}

= \frac{472}{27}

Convert improper fractions to mixed numbers:

\frac{472}{27} = 17 \frac{13}{27}

\frac{472}{27} = 17

Remainder

13

\frac{472}{27}

Write the problem in long division format

27 \overline{∣ 472}

Divide

47

27

to get

1

Divide

47

27

to get

1

1 27 \overline{∣ 472}

Multiply the quotient digit

(1)

by the divisor

27

1 27 \overline{∣ 472} \underline{27}

Subtract

27

from

47

1 27 \overline{∣ 472} \underline{27} 20

Bring down the next number of the dividend

1 27 \overline{∣ 472} \underline{27} 202

1 27 \overline{∣ 472} \underline{27} 202

Divide

202

27

to get

7

Divide

202

27

to get

7

17 27 \overline{∣ 472} \underline{27} 202

Multiply the quotient digit

(7)

by the divisor

27

17 27 \overline{∣ 472} \underline{27} 202 \underline{189}

Subtract

189

from

202

17 27 \overline{∣ 472} \underline{27} 202 \underline{189} 13

17 27 \overline{∣ 472} \underline{27} 202 \underline{189} 13

The solution for Long Division of

\frac{472}{27}

17

with remainder of

13

17 Remainder 13

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{472}{27} = 17 \frac{13}{27}

= 17 \frac{13}{27}

= 17 \frac{13}{27}

Popular Examples

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31 - 29 + (- 8) - 9 + 17 - 12

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(8 + 2)^{2} + 6^{3} - 2^{4} + (- 5)^{3}

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160 (5) - 16 (5)^{2}

-3^2-6

- 3^{2} - 6

35-14\div 2+8^2

35 - 14 \div 2 + 8^{2}

Frequently Asked Questions (FAQ)

What is 2\times 14\div (6-4\times 15)+2\times 9 ?
The solution to 2\times 14\div (6-4\times 15)+2\times 9 is 17 13/27