What is 2-1/3+1+2/3 ?

The solution to 2-1/3+1+2/3 is 3 1/3

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Popular >

2-1/3+1+2/3

Solution

2 - \frac{1}{3} + 1 + \frac{2}{3}

Solution

3 \frac{1}{3}

Solution steps

2 - \frac{1}{3} + 1 + \frac{2}{3}

Follow the PEMDAS order of operations

Add and subtract (left to right)

2 - \frac{1}{3} = \frac{5}{3}

2 - \frac{1}{3}

Convert element to fraction:

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

= \frac{2 \cdot 3}{3} - \frac{1}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{2 \cdot 3 - 1}{3}

2 \cdot 3 - 1 = 5

2 \cdot 3 - 1

Multiply the numbers:

2 \cdot 3 = 6

= 6 - 1

Subtract the numbers:

6 - 1 = 5

= 5

= \frac{5}{3}

= \frac{5}{3} + 1 + \frac{2}{3}

\frac{5}{3} + 1 = \frac{8}{3}

\frac{5}{3} + 1

Convert element to fraction:

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

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

Since the denominators are equal, combine the fractions:

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

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

1 \cdot 3 + 5 = 8

1 \cdot 3 + 5

Multiply the numbers:

1 \cdot 3 = 3

= 3 + 5

Add the numbers:

3 + 5 = 8

= 8

= \frac{8}{3}

= \frac{8}{3} + \frac{2}{3}

\frac{8}{3} + \frac{2}{3} = \frac{10}{3}

\frac{8}{3} + \frac{2}{3}

Apply rule

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

= \frac{8 + 2}{3}

Add the numbers:

8 + 2 = 10

= \frac{10}{3}

= \frac{10}{3}

Convert improper fractions to mixed numbers:

\frac{10}{3} = 3 \frac{1}{3}

\frac{10}{3} = 3

Remainder

1

\frac{10}{3}

Write the problem in long division format

3 \overline{∣ 10}

Divide

10

3

to get

3

Divide

10

3

to get

3

3 3 \overline{∣ 10}

Multiply the quotient digit

(3)

by the divisor

3

3 3 \overline{∣ 10} \underline{9}

Subtract

9

from

10

3 3 \overline{∣ 10} \underline{9} 1

3 3 \overline{∣ 10} \underline{9} 1

The solution for Long Division of

\frac{10}{3}

3

with remainder of

1

3 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{10}{3} = 3 \frac{1}{3}

= 3 \frac{1}{3}

= 3 \frac{1}{3}

Popular Examples

3^2-8^2

3^{2} - 8^{2}

-(+1)-(+3)-(-4)-(-5)

- (+ 1) - (+ 3) - (- 4) - (- 5)

(6^5)/(2^5*3)

\frac{6 ^{5}}{2 ^{5} \cdot 3}

2-((-13)/9+2/2)

2 - (\frac{- 13}{9} + \frac{2}{2})

(-2+2^2)^3

(- 2 + 2^{2})^{3}

Frequently Asked Questions (FAQ)

What is 2-1/3+1+2/3 ?
The solution to 2-1/3+1+2/3 is 3 1/3