Solve for c 1/5c+2/3=7/8

$\frac{1}{5} c + \frac{2}{3} = \frac{7}{8}$

Combine $\frac{1}{5}$ and $c$ .

$\frac{c}{5} + \frac{2}{3} = \frac{7}{8}$

Move all terms not containing $c$ to the right side of the equation.

Subtract $\frac{2}{3}$ from both sides of the equation.

$\frac{c}{5} = \frac{7}{8} - \frac{2}{3}$

To write $\frac{7}{8}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{c}{5} = \frac{7}{8} \cdot \frac{3}{3} - \frac{2}{3}$

To write $- \frac{2}{3}$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{c}{5} = \frac{7}{8} \cdot \frac{3}{3} - \frac{2}{3} \cdot \frac{8}{8}$

Write each expression with a common denominator of $24$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{7}{8}$ by $\frac{3}{3}$ .

$\frac{c}{5} = \frac{7 \cdot 3}{8 \cdot 3} - \frac{2}{3} \cdot \frac{8}{8}$

Multiply $8$ by $3$ .

$\frac{c}{5} = \frac{7 \cdot 3}{24} - \frac{2}{3} \cdot \frac{8}{8}$

Multiply $\frac{2}{3}$ by $\frac{8}{8}$ .

$\frac{c}{5} = \frac{7 \cdot 3}{24} - \frac{2 \cdot 8}{3 \cdot 8}$

Multiply $3$ by $8$ .

$\frac{c}{5} = \frac{7 \cdot 3}{24} - \frac{2 \cdot 8}{24}$

Combine the numerators over the common denominator.

$\frac{c}{5} = \frac{7 \cdot 3 - 2 \cdot 8}{24}$

Simplify the numerator.

Multiply $7$ by $3$ .

$\frac{c}{5} = \frac{21 - 2 \cdot 8}{24}$

Multiply $- 2$ by $8$ .

$\frac{c}{5} = \frac{21 - 16}{24}$

Subtract $16$ from $21$ .

$\frac{c}{5} = \frac{5}{24}$

Multiply both sides of the equation by $5$ .

$5 \frac{c}{5} = 5 (\frac{5}{24})$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$5 \frac{c}{5} = 5 (\frac{5}{24})$

Rewrite the expression.

$c = 5 (\frac{5}{24})$

Simplify the right side.

Multiply $5 (\frac{5}{24})$ .

Combine $5$ and $\frac{5}{24}$ .

$c = \frac{5 \cdot 5}{24}$

Multiply $5$ by $5$ .

$c = \frac{25}{24}$

The result can be shown in multiple forms.

Exact Form:

$c = \frac{25}{24}$

Decimal Form:

$c = 1.041\overline{6}$

Mixed Number Form:

$c = 1 \frac{1}{24}$

Solve for c 1/5c+2/3=7/8

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