What is 6/17 (10-4)^2 ?

The solution to 6/17 (10-4)^2 is 12 12/17

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Popular >

6/17 (10-4)^2

Solution

\frac{6}{17} (10 - 4)^{2}

Solution

12 \frac{12}{17}

Solution steps

\frac{6}{17} (10 - 4)^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(10 - 4) : 6

10 - 4

10 - 4 = 6

= 6

= \frac{6}{17} \cdot 6^{2}

Calculate exponents

6^{2} : 36

6^{2}

6^{2} = 36

= 36

= \frac{6}{17} \cdot 36

Multiply and divide (left to right)

\frac{6}{17} \cdot 36 : \frac{216}{17}

\frac{6}{17} \cdot 36

Convert element to fraction:

36 = \frac{36}{1}

= \frac{6}{17} \cdot \frac{36}{1}

Apply the fraction rule:

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

= \frac{6 \cdot 36}{17 \cdot 1}

Multiply the numbers:

6 \cdot 36 = 216

= \frac{216}{17 \cdot 1}

Multiply the numbers:

17 \cdot 1 = 17

= \frac{216}{17}

= \frac{216}{17}

Convert improper fractions to mixed numbers:

\frac{216}{17} = 12 \frac{12}{17}

\frac{216}{17} = 12

Remainder

12

\frac{216}{17}

Write the problem in long division format

17 \overline{∣ 216}

Divide

21

17

to get

1

Divide

21

17

to get

1

1 17 \overline{∣ 216}

Multiply the quotient digit

(1)

by the divisor

17

1 17 \overline{∣ 216} \underline{17}

Subtract

17

from

21

1 17 \overline{∣ 216} \underline{17} 4

Bring down the next number of the dividend

1 17 \overline{∣ 216} \underline{17} 46

1 17 \overline{∣ 216} \underline{17} 46

Divide

46

17

to get

2

Divide

46

17

to get

2

12 17 \overline{∣ 216} \underline{17} 46

Multiply the quotient digit

(2)

by the divisor

17

12 17 \overline{∣ 216} \underline{17} 46 \underline{34}

Subtract

34

from

46

12 17 \overline{∣ 216} \underline{17} 46 \underline{34} 12

12 17 \overline{∣ 216} \underline{17} 46 \underline{34} 12

The solution for Long Division of

\frac{216}{17}

12

with remainder of

12

12 Remainder 12

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{216}{17} = 12 \frac{12}{17}

= 12 \frac{12}{17}

= 12 \frac{12}{17}

Popular Examples

-1^3+1

- 1^{3} + 1

15^2+17^2

1 5^{2} + 1 7^{2}

2(-2)+4

2 (- 2) + 4

32-64/3+32/5

32 - \frac{64}{3} + \frac{32}{5}

-12-(-7)+2+(-4)

- 12 - (- 7) + 2 + (- 4)

Frequently Asked Questions (FAQ)

What is 6/17 (10-4)^2 ?
The solution to 6/17 (10-4)^2 is 12 12/17