What is the answer to 1 1/3+x=3 2/3 ?

The answer to 1 1/3+x=3 2/3 is x=2 1/3

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1 1/3+x=3 2/3

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

x = 2 \frac{1}{3}

Decimal Notation

x = 2.33333 \dots

Solution steps

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

Convert mixed numbers to improper fractions:

1 \frac{1}{3} = \frac{4}{3}

\frac{4}{3} + x = 3 \frac{2}{3}

Convert mixed numbers to improper fractions:

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

\frac{4}{3} + x = \frac{11}{3}

Move

\frac{4}{3}

to the right side

x = \frac{7}{3}

Convert improper fractions to mixed numbers:

\frac{7}{3} = 2 \frac{1}{3}

x = 2 \frac{1}{3}

4 (6) - 5 (7) = - 13

9 (3 x - 7) = 18

4 (x + 7) = 8 + 2 x

- \frac{9 x}{4} + \frac{21 x}{4} - 3 = 27

2 x = 29