Solve 2 1/2x - 1 5/8=2 3/4

Question

Solve the equation

x = \frac{7}{4}

Alternative Form

x = 1.75

Evaluate

2 \frac{1}{2} \times x - 1 \frac{5}{8} = 2 \frac{3}{4}

Simplify

More Steps

Evaluate

2 \frac{1}{2} \times x - 1 \frac{5}{8}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

2 \frac{1}{2}

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

\frac{2 \times 2 + 1}{2}

Multiply the terms

\frac{4 + 1}{2}

Add the terms

\frac{5}{2}

\frac{5}{2} x - 1 \frac{5}{8}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{5}{8}

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

\frac{8 + 5}{8}

Add the terms

\frac{13}{8}

\frac{5}{2} x - \frac{13}{8}

\frac{5}{2} x - \frac{13}{8} = 2 \frac{3}{4}

Covert the mixed number to an improper fraction

More Steps

Evaluate

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{5}{2} x - \frac{13}{8} = \frac{11}{4}

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

\frac{5}{2} x = \frac{11}{4} + \frac{13}{8}

Add the numbers

More Steps

Evaluate

\frac{11}{4} + \frac{13}{8}

Reduce fractions to a common denominator

\frac{11 \times 2}{4 \times 2} + \frac{13}{8}

Multiply the numbers

\frac{11 \times 2}{8} + \frac{13}{8}

Write all numerators above the common denominator

\frac{11 \times 2 + 13}{8}

Multiply the numbers

\frac{22 + 13}{8}

Add the numbers

\frac{35}{8}

\frac{5}{2} x = \frac{35}{8}

Multiply by the reciprocal

\frac{5}{2} x \times \frac{2}{5} = \frac{35}{8} \times \frac{2}{5}

Multiply

x = \frac{35}{8} \times \frac{2}{5}

Solution

More Steps

Evaluate

\frac{35}{8} \times \frac{2}{5}

Reduce the numbers

\frac{7}{8} \times 2

Reduce the numbers

\frac{7}{4} \times 1

Multiply the numbers

\frac{7}{4}

x = \frac{7}{4}

Alternative Form

x = 1.75

Show Solution

Rewrite the equation

4 x = 7

Evaluate

2 \frac{1}{2} \times x - 1 \frac{5}{8} = 2 \frac{3}{4}

Evaluate

More Steps

Evaluate

2 \frac{1}{2} \times x - 1 \frac{5}{8}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

2 \frac{1}{2}

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

\frac{2 \times 2 + 1}{2}

Multiply the terms

\frac{4 + 1}{2}

Add the terms

\frac{5}{2}

\frac{5}{2} x - 1 \frac{5}{8}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{5}{8}

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

\frac{8 + 5}{8}

Add the terms

\frac{13}{8}

\frac{5}{2} x - \frac{13}{8}

\frac{5}{2} x - \frac{13}{8} = 2 \frac{3}{4}

Evaluate

More Steps

Evaluate

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{5}{2} x - \frac{13}{8} = \frac{11}{4}

Multiply both sides of the equation by LCD

20 x - 13 = 22

Move the constant to the right side

20 x = 35

Solution

4 x = 7

Show Solution

Solve the equation

Rewrite the equation

Graph