The solution to 1/2 (-1)+5 is 4 1/2

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1/2 (-1)+5

Solution

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

Solution

4 \frac{1}{2}

Solution steps

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

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

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

Apply rule

a \cdot (- b) = - a \cdot b

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

= - \frac{1}{2}

= - \frac{1}{2} + 5

Add and subtract (left to right)

- \frac{1}{2} + 5 : \frac{9}{2}

- \frac{1}{2} + 5

- \frac{1}{2} + 5 = \frac{9}{2}

- \frac{1}{2} + 5

Convert element to fraction:

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

= \frac{5 \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{5 \cdot 2 - 1}{2}

5 \cdot 2 - 1 = 9

5 \cdot 2 - 1

Multiply the numbers:

5 \cdot 2 = 10

= 10 - 1

Subtract the numbers:

10 - 1 = 9

= 9

= \frac{9}{2}

= \frac{9}{2}

= \frac{9}{2}

Convert improper fractions to mixed numbers:

\frac{9}{2} = 4 \frac{1}{2}

\frac{9}{2} = 4

Remainder

1

\frac{9}{2}

Write the problem in long division format

2 \overline{∣ 9}

Divide

9

2

to get

4

Divide

9

2

to get

4

4 2 \overline{∣ 9}

Multiply the quotient digit

(4)

by the divisor

2

4 2 \overline{∣ 9} \underline{8}

Subtract

8

from

9

4 2 \overline{∣ 9} \underline{8} 1

4 2 \overline{∣ 9} \underline{8} 1

The solution for Long Division of

\frac{9}{2}

4

with remainder of

1

4 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{9}{2} = 4 \frac{1}{2}

= 4 \frac{1}{2}

= 4 \frac{1}{2}

Popular Examples

-2/5 (4)^1

- \frac{2}{5} (4)^{1}

-2/5 (4)^0

- \frac{2}{5} (4)^{0}

28-12\div 4*2

28 - 12 \div 4 \cdot 2

(2-3)[[4(-2)+1]+1]+1

(2 - 3) [[4 (- 2) + 1] + 1] + 1

3+6\div 2-5

3 + 6 \div 2 - 5

Frequently Asked Questions (FAQ)

What is 1/2 (-1)+5 ?
The solution to 1/2 (-1)+5 is 4 1/2

1/2 (-1)+5

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 1/2 (-1)+5 ?