Solve 2 3/4x -1 2/3=2 11/12

Question

Solve the equation

x = \frac{5}{3}

Alternative Form

x = 1. \dot{6}

Evaluate

2 \frac{3}{4} \times x - 1 \frac{2}{3} = 2 \frac{11}{12}

Simplify

More Steps

Evaluate

2 \frac{3}{4} \times x - 1 \frac{2}{3}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

2 \frac{3}{4}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{2 \times 4 + 3}{4}

Multiply the terms

\frac{8 + 3}{4}

Add the terms

\frac{11}{4}

\frac{11}{4} x - 1 \frac{2}{3}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{2}{3}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{3 + 2}{3}

Add the terms

\frac{5}{3}

\frac{11}{4} x - \frac{5}{3}

\frac{11}{4} x - \frac{5}{3} = 2 \frac{11}{12}

Covert the mixed number to an improper fraction

More Steps

Evaluate

2 \frac{11}{12}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{2 \times 12 + 11}{12}

Multiply the terms

\frac{24 + 11}{12}

Add the terms

\frac{35}{12}

\frac{11}{4} x - \frac{5}{3} = \frac{35}{12}

Move the constant to the right-hand side and change its sign

\frac{11}{4} x = \frac{35}{12} + \frac{5}{3}

Add the numbers

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Evaluate

\frac{35}{12} + \frac{5}{3}

Reduce fractions to a common denominator

\frac{35}{12} + \frac{5 \times 4}{3 \times 4}

Multiply the numbers

\frac{35}{12} + \frac{5 \times 4}{12}

Write all numerators above the common denominator

\frac{35 + 5 \times 4}{12}

Multiply the numbers

\frac{35 + 20}{12}

Add the numbers

\frac{55}{12}

\frac{11}{4} x = \frac{55}{12}

Multiply by the reciprocal

\frac{11}{4} x \times \frac{4}{11} = \frac{55}{12} \times \frac{4}{11}

Multiply

x = \frac{55}{12} \times \frac{4}{11}

Solution

More Steps

Evaluate

\frac{55}{12} \times \frac{4}{11}

Reduce the numbers

\frac{5}{12} \times 4

Reduce the numbers

\frac{5}{3} \times 1

Multiply the numbers

\frac{5}{3}

x = \frac{5}{3}

Alternative Form

x = 1. \dot{6}

Show Solution

Rewrite the equation

3 x = 5

Evaluate

2 \frac{3}{4} \times x - 1 \frac{2}{3} = 2 \frac{11}{12}

Evaluate

More Steps

Evaluate

2 \frac{3}{4} \times x - 1 \frac{2}{3}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

2 \frac{3}{4}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{2 \times 4 + 3}{4}

Multiply the terms

\frac{8 + 3}{4}

Add the terms

\frac{11}{4}

\frac{11}{4} x - 1 \frac{2}{3}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{2}{3}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{3 + 2}{3}

Add the terms

\frac{5}{3}

\frac{11}{4} x - \frac{5}{3}

\frac{11}{4} x - \frac{5}{3} = 2 \frac{11}{12}

Evaluate

More Steps

Evaluate

2 \frac{11}{12}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{2 \times 12 + 11}{12}

Multiply the terms

\frac{24 + 11}{12}

Add the terms

\frac{35}{12}

\frac{11}{4} x - \frac{5}{3} = \frac{35}{12}

Multiply both sides of the equation by LCD

33 x - 20 = 35

Move the constant to the right side

33 x = 55

Solution

3 x = 5

Show Solution

Solve the equation

Rewrite the equation

Graph