Basic Math Examples

$\frac{3}{7} - \frac{5}{n} - \frac{10}{n}$

Step 1

Combine the numerators over the common denominator.

$\frac{3}{7} + \frac{- 5 - 10}{n}$

Step 2

Simplify the expression.

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Step 2.1

Subtract $10$ from $- 5$ .

$\frac{3}{7} + \frac{- 15}{n}$

Step 2.2

Move the negative in front of the fraction.

$\frac{3}{7} - \frac{15}{n}$

Step 3

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

$\frac{3}{7} \cdot \frac{n}{n} - \frac{15}{n}$

Step 4

To write $- \frac{15}{n}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{3}{7} \cdot \frac{n}{n} - \frac{15}{n} \cdot \frac{7}{7}$

Step 5

Write each expression with a common denominator of $7 n$ , by multiplying each by an appropriate factor of $1$ .

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Step 5.1

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

$\frac{3 n}{7 n} - \frac{15}{n} \cdot \frac{7}{7}$

Step 5.2

Multiply $\frac{15}{n}$ by $\frac{7}{7}$ .

$\frac{3 n}{7 n} - \frac{15 \cdot 7}{n \cdot 7}$

Step 5.3

Reorder the factors of $n \cdot 7$ .

$\frac{3 n}{7 n} - \frac{15 \cdot 7}{7 n}$

Step 6

Combine the numerators over the common denominator.

$\frac{3 n - 15 \cdot 7}{7 n}$

Step 7

Simplify the numerator.

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Step 7.1

Factor $3$ out of $3 n - 15 \cdot 7$ .

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Step 7.1.1

Factor $3$ out of $3 n$ .

$\frac{3 (n) - 15 \cdot 7}{7 n}$

Step 7.1.2

Factor $3$ out of $- 15 \cdot 7$ .

$\frac{3 (n) + 3 (- 5 \cdot 7)}{7 n}$

Step 7.1.3

Factor $3$ out of $3 (n) + 3 (- 5 \cdot 7)$ .

$\frac{3 (n - 5 \cdot 7)}{7 n}$

Step 7.2

Multiply $- 5$ by $7$ .

$\frac{3 (n - 35)}{7 n}$