Basic Math Examples

$y + 8 \div 7 \cdot c \div 2$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$y + \frac{8 \div 7 c}{2}$

Step 1.2

Combine $8 \div 7$ and $c$ .

$y + \frac{\frac{8 c}{7}}{2}$

Step 1.3

Multiply the numerator by the reciprocal of the denominator.

$y + \frac{8 c}{7} \cdot \frac{1}{2}$

Step 1.4

Cancel the common factor of $2$ .

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Step 1.4.1

Factor $2$ out of $8 c$ .

$y + \frac{2 (4 c)}{7} \cdot \frac{1}{2}$

Step 1.4.2

Cancel the common factor.

$y + \frac{2 (4 c)}{7} \cdot \frac{1}{2}$

Step 1.4.3

Rewrite the expression.

$y + \frac{4 c}{7}$

Step 2

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

$y \cdot \frac{7}{7} + \frac{4 c}{7}$

Step 3

Simplify terms.

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Step 3.1

Combine $y$ and $\frac{7}{7}$ .

$\frac{y \cdot 7}{7} + \frac{4 c}{7}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{y \cdot 7 + 4 c}{7}$

Step 4

Move $7$ to the left of $y$ .

$\frac{7 y + 4 c}{7}$