What is 6+(13^2(39)\div 9) ?

The solution to 6+(13^2(39)\div 9) is 738 1/3

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Popular Pre Algebra >

6+(13^2(39)\div 9)

Solution

6 + (1 3^{2} (39) \div 9)

Solution

738 \frac{1}{3}

Decimal

738.33333 \dots

Solution steps

6 + (1 3^{2} (39) \div 9)

Follow the PEMDAS order of operations

Calculate within parentheses

(1 3^{2} (39) \div 9) : \frac{6591}{9}

1 3^{2} (39) \div 9

Calculate exponents

1 3^{2} : 169

1 3^{2}

1 3^{2} = 169

= 169

= 169 (39) \div 9

Multiply and divide (left to right)

169 (39) \div 9 : \frac{6591}{9}

169 (39) \div 9

169 (39) = 6591

169 (39)

Apply rule:

(a) = a

(39) = 39

= 169 \cdot 39

Multiply the numbers:

169 \cdot 39 = 6591

= 6591

= 6591 \div 9

6591 \div 9 = \frac{6591}{9}

= \frac{6591}{9}

= \frac{6591}{9}

= 6 + \frac{6591}{9}

Add and subtract (left to right)

6 + \frac{6591}{9} : \frac{2215}{3}

6 + \frac{6591}{9}

6 + \frac{6591}{9} = \frac{2215}{3}

6 + \frac{6591}{9}

Cancel

\frac{6591}{9} : \frac{2197}{3}

\frac{6591}{9}

Cancel the common factor:

3

= \frac{2197}{3}

= 6 + \frac{2197}{3}

Convert element to fraction:

6 = \frac{6 \cdot 3}{3}

= \frac{6 \cdot 3}{3} + \frac{2197}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{6 \cdot 3 + 2197}{3}

6 \cdot 3 + 2197 = 2215

6 \cdot 3 + 2197

Multiply the numbers:

6 \cdot 3 = 18

= 18 + 2197

Add the numbers:

18 + 2197 = 2215

= 2215

= \frac{2215}{3}

= \frac{2215}{3}

= \frac{2215}{3}

Convert improper fractions to mixed numbers:

\frac{2215}{3} = 738 \frac{1}{3}

\frac{2215}{3} = 738

Remainder

1

\frac{2215}{3}

Write the problem in long division format

3 \overline{∣ 2215}

Divide

22

3

to get

7

Divide

22

3

to get

7

7 3 \overline{∣ 2215}

Multiply the quotient digit

(7)

by the divisor

3

7 3 \overline{∣ 2215} \underline{21}

Subtract

21

from

22

7 3 \overline{∣ 2215} \underline{21} 1

Bring down the next number of the dividend

7 3 \overline{∣ 2215} \underline{21} 11

7 3 \overline{∣ 2215} \underline{21} 11

Divide

11

3

to get

3

Divide

11

3

to get

3

73 3 \overline{∣ 2215} \underline{21} 11

Multiply the quotient digit

(3)

by the divisor

3

73 3 \overline{∣ 2215} \underline{21} 11 \underline{9}

Subtract

9

from

11

73 3 \overline{∣ 2215} \underline{21} 11 \underline{9} 2

Bring down the next number of the dividend

73 3 \overline{∣ 2215} \underline{21} 11 \underline{9} 25

73 3 \overline{∣ 2215} \underline{21} 11 \underline{9} 25

Divide

25

3

to get

8

Divide

25

3

to get

8

738 3 \overline{∣ 2215} \underline{21} 11 \underline{9} 25

Multiply the quotient digit

(8)

by the divisor

3

738 3 \overline{∣ 2215} \underline{21} 11 \underline{9} 25 \underline{24}

Subtract

24

from

25

738 3 \overline{∣ 2215} \underline{21} 11 \underline{9} 25 \underline{24} 1

738 3 \overline{∣ 2215} \underline{21} 11 \underline{9} 25 \underline{24} 1

The solution for Long Division of

\frac{2215}{3}

738

with remainder of

1

738 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{2215}{3} = 738 \frac{1}{3}

= 738 \frac{1}{3}

= 738 \frac{1}{3}

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Frequently Asked Questions (FAQ)

What is 6+(13^2(39)\div 9) ?
The solution to 6+(13^2(39)\div 9) is 738 1/3

6+(13^2(39)\div 9)

Solution

Solution

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Frequently Asked Questions (FAQ)

What is 6+(13^2(39)\div 9) ?

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