What is 6\times (3+6^2-5)\div 5 ?

The solution to 6\times (3+6^2-5)\div 5 is 40 4/5

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Popular >

6\times (3+6^2-5)\div 5

Solution

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

Solution

40 \frac{4}{5}

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

(3 + 6^{2} - 5) : 34

3 + 6^{2} - 5

Calculate exponents

6^{2} : 36

6^{2}

6^{2} = 36

= 36

= 3 + 36 - 5

Add and subtract (left to right)

3 + 36 - 5 : 34

3 + 36 - 5

3 + 36 = 39

= 39 - 5

39 - 5 = 34

= 34

= 34

= 6 \times 34 \div 5

Multiply and divide (left to right)

6 \times 34 \div 5 : \frac{204}{5}

6 \times 34 \div 5

6 \times 34 = 204

= 204 \div 5

204 \div 5 = \frac{204}{5}

= \frac{204}{5}

= \frac{204}{5}

Convert improper fractions to mixed numbers:

\frac{204}{5} = 40 \frac{4}{5}

\frac{204}{5} = 40

Remainder

4

\frac{204}{5}

Write the problem in long division format

5 \overline{∣ 204}

Divide

20

5

to get

4

Divide

20

5

to get

4

4 5 \overline{∣ 204}

Multiply the quotient digit

(4)

by the divisor

5

4 5 \overline{∣ 204} \underline{20}

Subtract

20

from

20

4 5 \overline{∣ 204} \underline{20} 0

Bring down the next number of the dividend

4 5 \overline{∣ 204} \underline{20} 04

4 5 \overline{∣ 204} \underline{20} 04

Divide

4

5

to get

0

Divide

4

5

to get

0

40 5 \overline{∣ 204} \underline{20} 04

Multiply the quotient digit

(0)

by the divisor

5

40 5 \overline{∣ 204} \underline{20} 04 \underline{0}

Subtract

0

from

4

40 5 \overline{∣ 204} \underline{20} 04 \underline{0} 4

40 5 \overline{∣ 204} \underline{20} 04 \underline{0} 4

The solution for Long Division of

\frac{204}{5}

40

with remainder of

4

40 Remainder 4

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{204}{5} = 40 \frac{4}{5}

= 40 \frac{4}{5}

= 40 \frac{4}{5}

Popular Examples

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- 8 (- 2) - [(4^{2}) + (7 - 3)]

5\times (-2^2)-5\times (-2)+1/(-2)

5 \times (- 2^{2}) - 5 \times (- 2) + \frac{1}{- 2}

2(0)^2+3(0)-1

2 (0)^{2} + 3 (0) - 1

(6-7)\times (-3+4)

(6 - 7) \times (- 3 + 4)

6\times (5/4-3/8)

6 \times (\frac{5}{4} - \frac{3}{8})

Frequently Asked Questions (FAQ)

What is 6\times (3+6^2-5)\div 5 ?
The solution to 6\times (3+6^2-5)\div 5 is 40 4/5