What is 10\div 6× (20+11) ?

The solution to 10\div 6× (20+11) is 51 2/3

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Popular Pre Algebra >

10\div 6× (20+11)

Solution

10 \div 6 \times (20 + 11)

Solution

51 \frac{2}{3}

Decimal

51.66666 \dots

Solution steps

10 \div 6 \times (20 + 11)

Follow the PEMDAS order of operations

Calculate within parentheses

(20 + 11) : 31

20 + 11

20 + 11 = 31

= 31

= 10 \div 6 \times 31

Multiply and divide (left to right)

10 \div 6 \times 31 : \frac{155}{3}

10 \div 6 \times 31

10 \div 6 = \frac{10}{6}

= \frac{10}{6} \times 31

\frac{10}{6} \times 31 = \frac{155}{3}

\frac{10}{6} \cdot 31

Cancel

\frac{10}{6} : \frac{5}{3}

\frac{10}{6}

Factor the number:

10 = 2 \cdot 5

= \frac{2 \cdot 5}{6}

Factor the number:

6 = 2 \cdot 3

= \frac{2 \cdot 5}{2 \cdot 3}

Cancel the common factor:

2

= \frac{5}{3}

= \frac{5}{3} \cdot 31

\frac{5}{3} \cdot 31 = \frac{155}{3}

\frac{5}{3} \cdot 31

Convert element to fraction:

31 = \frac{31}{1}

= \frac{5}{3} \cdot \frac{31}{1}

Apply the fraction rule:

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

= \frac{5 \cdot 31}{3 \cdot 1}

Multiply the numbers:

5 \cdot 31 = 155

= \frac{155}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{155}{3}

= \frac{155}{3}

= \frac{155}{3}

= \frac{155}{3}

Convert improper fractions to mixed numbers:

\frac{155}{3} = 51 \frac{2}{3}

\frac{155}{3} = 51

Remainder

2

\frac{155}{3}

Write the problem in long division format

3 \overline{∣ 155}

Divide

15

3

to get

5

Divide

15

3

to get

5

5 3 \overline{∣ 155}

Multiply the quotient digit

(5)

by the divisor

3

5 3 \overline{∣ 155} \underline{15}

Subtract

15

from

15

5 3 \overline{∣ 155} \underline{15} 0

Bring down the next number of the dividend

5 3 \overline{∣ 155} \underline{15} 05

5 3 \overline{∣ 155} \underline{15} 05

Divide

5

3

to get

1

Divide

5

3

to get

1

51 3 \overline{∣ 155} \underline{15} 05

Multiply the quotient digit

(1)

by the divisor

3

51 3 \overline{∣ 155} \underline{15} 05 \underline{3}

Subtract

3

from

5

51 3 \overline{∣ 155} \underline{15} 05 \underline{3} 2

51 3 \overline{∣ 155} \underline{15} 05 \underline{3} 2

The solution for Long Division of

\frac{155}{3}

51

with remainder of

2

51 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{155}{3} = 51 \frac{2}{3}

= 51 \frac{2}{3}

= 51 \frac{2}{3}

Popular Examples

8^2-(-3)^2

5+(3+2)(2× 10-(37-19))

(+9)+(-13)-(-21)

5(1)^3

5(1)^1

Frequently Asked Questions (FAQ)

What is 10\div 6× (20+11) ?
The solution to 10\div 6× (20+11) is 51 2/3

10\div 6× (20+11)

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 10\div 6× (20+11) ?

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