What is (-11/2)/(-2) ?

The solution to (-11/2)/(-2) is 2 3/4

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Popular >

Write the Fraction in Simplest Form (-11/2)÷(-2)

Solution

(- 11/2) / (- 2)

Solution

2 \frac{3}{4}

Solution steps

(- 11/2) / (- 2)

Follow the PEMDAS order of operations

Calculate within parentheses

(- 11/2) : \frac{- 11}{2}

- 11/2

- 11/2 = \frac{- 11}{2}

= \frac{- 11}{2}

= \frac{- 11}{2} / (- 2)

Multiply and divide (left to right)

\frac{- 11}{2} / (- 2) : \frac{11}{4}

\frac{- 11}{2} / (- 2)

Apply rule

a / (- b) = - a / b

\frac{- 11}{2} / (- 2) = - \frac{- 11}{2} /2

Convert element to fraction:

2 = \frac{2}{1}

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

Apply the fraction rule:

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

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

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{1}{2} (- \frac{11}{2})

Apply rule

- (- a) = a

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

Multiply fractions:

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

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

Multiply the numbers:

11 \cdot 1 = 11

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

Multiply the numbers:

2 \cdot 2 = 4

= \frac{11}{4}

= \frac{11}{4}

Convert improper fractions to mixed numbers:

\frac{11}{4} = 2 \frac{3}{4}

\frac{11}{4} = 2

Remainder

3

\frac{11}{4}

Write the problem in long division format

4 \overline{∣ 11}

Divide

11

4

to get

2

Divide

11

4

to get

2

2 4 \overline{∣ 11}

Multiply the quotient digit

(2)

by the divisor

4

2 4 \overline{∣ 11} \underline{8}

Subtract

8

from

11

2 4 \overline{∣ 11} \underline{8} 3

2 4 \overline{∣ 11} \underline{8} 3

The solution for Long Division of

\frac{11}{4}

2

with remainder of

3

2 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{11}{4} = 2 \frac{3}{4}

= 2 \frac{3}{4}

= 2 \frac{3}{4}

Popular Examples

Find the GCF 6 , 12 , 18 gcf

6, 12, 18

Convert to a Mixed Number 1/25 mixed number

\frac{1}{25}

Simplify 1/(12/13)

1/ (12/13)

Convert to a Simplified Fraction 0.41 convert to fraction

0.41

Simplify -5/18-7/18

- 5/18 - 7/18

Frequently Asked Questions (FAQ)

What is (-11/2)/(-2) ?
The solution to (-11/2)/(-2) is 2 3/4