Solve 10 5/8-x=7 3/5

Question

Solve the equation

x = \frac{121}{40}

Alternative Form

x = 3.025

Evaluate

10 \frac{5}{8} - x = 7 \frac{3}{5}

Covert the mixed number to an improper fraction

More Steps

Evaluate

10 \frac{5}{8}

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

\frac{10 \times 8 + 5}{8}

Multiply the terms

\frac{80 + 5}{8}

Add the terms

\frac{85}{8}

\frac{85}{8} - x = 7 \frac{3}{5}

Covert the mixed number to an improper fraction

More Steps

Evaluate

7 \frac{3}{5}

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

\frac{7 \times 5 + 3}{5}

Multiply the terms

\frac{35 + 3}{5}

Add the terms

\frac{38}{5}

\frac{85}{8} - x = \frac{38}{5}

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

- x = \frac{38}{5} - \frac{85}{8}

Subtract the numbers

More Steps

Evaluate

\frac{38}{5} - \frac{85}{8}

Reduce fractions to a common denominator

\frac{38 \times 8}{5 \times 8} - \frac{85 \times 5}{8 \times 5}

Multiply the numbers

\frac{38 \times 8}{40} - \frac{85 \times 5}{8 \times 5}

Multiply the numbers

\frac{38 \times 8}{40} - \frac{85 \times 5}{40}

Write all numerators above the common denominator

\frac{38 \times 8 - 85 \times 5}{40}

Multiply the numbers

\frac{304 - 85 \times 5}{40}

Multiply the numbers

\frac{304 - 425}{40}

Subtract the numbers

\frac{- 121}{40}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{121}{40}

- x = - \frac{121}{40}

Solution

x = \frac{121}{40}

Alternative Form

x = 3.025

Show Solution

Rewrite the equation

40 x = 121

Evaluate

10 \frac{5}{8} - x = 7 \frac{3}{5}

Covert the mixed number to an improper fraction

More Steps

Evaluate

10 \frac{5}{8} - x

Covert the mixed number to an improper fraction

More Steps

Evaluate

10 \frac{5}{8}

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

\frac{10 \times 8 + 5}{8}

Multiply the terms

\frac{80 + 5}{8}

Add the terms

\frac{85}{8}

\frac{85}{8} - x

\frac{85}{8} - x = 7 \frac{3}{5}

Evaluate

More Steps

Evaluate

7 \frac{3}{5}

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

\frac{7 \times 5 + 3}{5}

Multiply the terms

\frac{35 + 3}{5}

Add the terms

\frac{38}{5}

\frac{85}{8} - x = \frac{38}{5}

Multiply both sides of the equation by LCD

425 - 40 x = 304

Move the constant to the right side

- 40 x = - 121

Solution

40 x = 121

Show Solution

Solve the equation

Rewrite the equation

Graph