What is 3^3\div (15+5)+(11× 2) ?

The solution to 3^3\div (15+5)+(11× 2) is 23 7/20

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Popular Pre Algebra >

3^3\div (15+5)+(11× 2)

Solution

3^{3} \div (15 + 5) + (11 \times 2)

Solution

23 \frac{7}{20}

Decimal

23.35

Solution steps

3^{3} \div (15 + 5) + (11 \times 2)

Follow the PEMDAS order of operations

Calculate within parentheses

(15 + 5) : 20

15 + 5

15 + 5 = 20

= 20

= 3^{3} \div 20 + (11 \times 2)

Calculate within parentheses

(11 \times 2) : 22

11 \times 2

11 \times 2 = 22

= 22

= 3^{3} \div 20 + 22

Calculate exponents

3^{3} : 27

3^{3}

3^{3} = 27

= 27

= 27 \div 20 + 22

Multiply and divide (left to right)

27 \div 20 : \frac{27}{20}

27 \div 20

27 \div 20 = \frac{27}{20}

= \frac{27}{20}

= \frac{27}{20} + 22

Add and subtract (left to right)

\frac{27}{20} + 22 : \frac{467}{20}

\frac{27}{20} + 22

\frac{27}{20} + 22 = \frac{467}{20}

\frac{27}{20} + 22

Convert element to fraction:

22 = \frac{22 \cdot 20}{20}

= \frac{22 \cdot 20}{20} + \frac{27}{20}

Since the denominators are equal, combine the fractions:

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

= \frac{22 \cdot 20 + 27}{20}

22 \cdot 20 + 27 = 467

22 \cdot 20 + 27

Multiply the numbers:

22 \cdot 20 = 440

= 440 + 27

Add the numbers:

440 + 27 = 467

= 467

= \frac{467}{20}

= \frac{467}{20}

= \frac{467}{20}

Convert improper fractions to mixed numbers:

\frac{467}{20} = 23 \frac{7}{20}

\frac{467}{20} = 23

Remainder

7

\frac{467}{20}

Write the problem in long division format

20 \overline{∣ 467}

Divide

46

20

to get

2

Divide

46

20

to get

2

2 20 \overline{∣ 467}

Multiply the quotient digit

(2)

by the divisor

20

2 20 \overline{∣ 467} \underline{40}

Subtract

40

from

46

2 20 \overline{∣ 467} \underline{40} 6

Bring down the next number of the dividend

2 20 \overline{∣ 467} \underline{40} 67

2 20 \overline{∣ 467} \underline{40} 67

Divide

67

20

to get

3

Divide

67

20

to get

3

23 20 \overline{∣ 467} \underline{40} 67

Multiply the quotient digit

(3)

by the divisor

20

23 20 \overline{∣ 467} \underline{40} 67 \underline{60}

Subtract

60

from

67

23 20 \overline{∣ 467} \underline{40} 67 \underline{60} 7

23 20 \overline{∣ 467} \underline{40} 67 \underline{60} 7

The solution for Long Division of

\frac{467}{20}

23

with remainder of

7

23 Remainder 7

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{467}{20} = 23 \frac{7}{20}

= 23 \frac{7}{20}

= 23 \frac{7}{20}

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Frequently Asked Questions (FAQ)

What is 3^3\div (15+5)+(11× 2) ?
The solution to 3^3\div (15+5)+(11× 2) is 23 7/20

3^3\div (15+5)+(11× 2)

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 3^3\div (15+5)+(11× 2) ?

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