What is 4/2+2-1/2+1 ?

The solution to 4/2+2-1/2+1 is 4 1/2

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Popular >

4/2+2-1/2+1

Solution

\frac{4}{2} + 2 - \frac{1}{2} + 1

Solution

4 \frac{1}{2}

Solution steps

\frac{4}{2} + 2 - \frac{1}{2} + 1

\frac{4}{2} = 2

Divide the numbers:

\frac{4}{2} = 2

2

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

Follow the PEMDAS order of operations

Add and subtract (left to right)

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

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

2 + 2 = 4

= 4 - \frac{1}{2} + 1

4 - \frac{1}{2} = \frac{7}{2}

4 - \frac{1}{2}

Convert element to fraction:

4 = \frac{4 \cdot 2}{2}

= \frac{4 \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{4 \cdot 2 - 1}{2}

4 \cdot 2 - 1 = 7

4 \cdot 2 - 1

Multiply the numbers:

4 \cdot 2 = 8

= 8 - 1

Subtract the numbers:

8 - 1 = 7

= 7

= \frac{7}{2}

= \frac{7}{2} + 1

\frac{7}{2} + 1 = \frac{9}{2}

\frac{7}{2} + 1

Convert element to fraction:

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

= \frac{1 \cdot 2}{2} + \frac{7}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{1 \cdot 2 + 7}{2}

1 \cdot 2 + 7 = 9

1 \cdot 2 + 7

Multiply the numbers:

1 \cdot 2 = 2

= 2 + 7

Add the numbers:

2 + 7 = 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

(1\div 2)\div (1\div 2)

(1 \div 2) \div (1 \div 2)

(3)+(-5)-(-4)-(-9)-(-2)

(3) + (- 5) - (- 4) - (- 9) - (- 2)

7\times 7\times 7-30

7 \times 7 \times 7 - 30

16-23\div 4+(2-7)

16 - 23 \div 4 + (2 - 7)

-16(-3-1)^2+17

- 16 (- 3 - 1)^{2} + 17

Frequently Asked Questions (FAQ)

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