What is 56\div (6-1/2) ?

The solution to 56\div (6-1/2) is 10 2/11

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Popular Pre Algebra >

56\div (6-1/2)

Solution

56 \div (6 - \frac{1}{2})

Solution

10 \frac{2}{11}

Decimal

10.18181 \dots

Solution steps

56 \div (6 - \frac{1}{2})

Follow the PEMDAS order of operations

Calculate within parentheses

(6 - \frac{1}{2}) : \frac{11}{2}

6 - \frac{1}{2}

6 - \frac{1}{2} = \frac{11}{2}

6 - \frac{1}{2}

Convert element to fraction:

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

= \frac{6 \cdot 2}{2} - \frac{1}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{6 \cdot 2 - 1}{2}

6 \cdot 2 - 1 = 11

6 \cdot 2 - 1

Multiply the numbers:

6 \cdot 2 = 12

= 12 - 1

Subtract the numbers:

12 - 1 = 11

= 11

= \frac{11}{2}

= \frac{11}{2}

= 56 \div \frac{11}{2}

Multiply and divide (left to right)

56 \div \frac{11}{2} : \frac{112}{11}

56 \div \frac{11}{2}

Convert element to fraction:

56 = \frac{56}{1}

= \frac{56}{1} \div \frac{11}{2}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{56}{1} \cdot \frac{2}{11}

Multiply fractions:

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

= \frac{56 \cdot 2}{1 \cdot 11}

Multiply the numbers:

56 \cdot 2 = 112

= \frac{112}{1 \cdot 11}

Multiply the numbers:

1 \cdot 11 = 11

= \frac{112}{11}

= \frac{112}{11}

Convert improper fractions to mixed numbers:

\frac{112}{11} = 10 \frac{2}{11}

\frac{112}{11} = 10

Remainder

2

\frac{112}{11}

Write the problem in long division format

11 \overline{∣ 112}

Divide

11

11

to get

1

Divide

11

11

to get

1

1 11 \overline{∣ 112}

Multiply the quotient digit

(1)

by the divisor

11

1 11 \overline{∣ 112} \underline{11}

Subtract

11

from

11

1 11 \overline{∣ 112} \underline{11} 0

Bring down the next number of the dividend

1 11 \overline{∣ 112} \underline{11} 02

1 11 \overline{∣ 112} \underline{11} 02

Divide

2

11

to get

0

Divide

2

11

to get

0

10 11 \overline{∣ 112} \underline{11} 02

Multiply the quotient digit

(0)

by the divisor

11

10 11 \overline{∣ 112} \underline{11} 02 \underline{0}

Subtract

0

from

2

10 11 \overline{∣ 112} \underline{11} 02 \underline{0} 2

10 11 \overline{∣ 112} \underline{11} 02 \underline{0} 2

The solution for Long Division of

\frac{112}{11}

10

with remainder of

2

10 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{112}{11} = 10 \frac{2}{11}

= 10 \frac{2}{11}

= 10 \frac{2}{11}

Popular Examples

(1\div 3)\div 2

4-2(3(5-2(5-6)-7)+10)+17

(-1^0)-(-1)^0

2(6)-12

50(5)^2

Frequently Asked Questions (FAQ)

What is 56\div (6-1/2) ?
The solution to 56\div (6-1/2) is 10 2/11

56\div (6-1/2)

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 56\div (6-1/2) ?

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