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

Question

Solve the equation

x = \frac{43}{8}

Alternative Form

x = 5.375

Evaluate

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

Covert the mixed number to an improper fraction

More Steps

Evaluate

2 \frac{1}{4}

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

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

Multiply the terms

\frac{8 + 1}{4}

Add the terms

\frac{9}{4}

x - \frac{9}{4} = 3 \frac{1}{8}

Covert the mixed number to an improper fraction

More Steps

Evaluate

3 \frac{1}{8}

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

\frac{3 \times 8 + 1}{8}

Multiply the terms

\frac{24 + 1}{8}

Add the terms

\frac{25}{8}

x - \frac{9}{4} = \frac{25}{8}

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

x = \frac{25}{8} + \frac{9}{4}

Solution

More Steps

Evaluate

\frac{25}{8} + \frac{9}{4}

Reduce fractions to a common denominator

\frac{25}{8} + \frac{9 \times 2}{4 \times 2}

Multiply the numbers

\frac{25}{8} + \frac{9 \times 2}{8}

Write all numerators above the common denominator

\frac{25 + 9 \times 2}{8}

Multiply the numbers

\frac{25 + 18}{8}

Add the numbers

\frac{43}{8}

x = \frac{43}{8}

Alternative Form

x = 5.375

Show Solution

Rewrite the equation

8 x = 43

Evaluate

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

Covert the mixed number to an improper fraction

More Steps

Evaluate

x - 2 \frac{1}{4}

Covert the mixed number to an improper fraction

More Steps

Evaluate

2 \frac{1}{4}

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

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

Multiply the terms

\frac{8 + 1}{4}

Add the terms

\frac{9}{4}

x - \frac{9}{4}

x - \frac{9}{4} = 3 \frac{1}{8}

Evaluate

More Steps

Evaluate

3 \frac{1}{8}

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

\frac{3 \times 8 + 1}{8}

Multiply the terms

\frac{24 + 1}{8}

Add the terms

\frac{25}{8}

x - \frac{9}{4} = \frac{25}{8}

Multiply both sides of the equation by LCD

8 x - 18 = 25

Solution

8 x = 43

Show Solution

Solve the equation

Rewrite the equation

Graph