Basic Math Examples

$\frac{t - 5}{4} + \frac{3 t - 4}{8}$

Step 1

To write $\frac{t - 5}{4}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{t - 5}{4} \cdot \frac{2}{2} + \frac{3 t - 4}{8}$

Step 2

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{t - 5}{4}$ by $\frac{2}{2}$ .

$\frac{(t - 5) \cdot 2}{4 \cdot 2} + \frac{3 t - 4}{8}$

Step 2.2

Multiply $4$ by $2$ .

$\frac{(t - 5) \cdot 2}{8} + \frac{3 t - 4}{8}$

Step 3

Combine the numerators over the common denominator.

$\frac{(t - 5) \cdot 2 + 3 t - 4}{8}$

Step 4

Simplify the numerator.

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Step 4.1

Apply the distributive property.

$\frac{t \cdot 2 - 5 \cdot 2 + 3 t - 4}{8}$

Step 4.2

Move $2$ to the left of $t$ .

$\frac{2 \cdot t - 5 \cdot 2 + 3 t - 4}{8}$

Step 4.3

Multiply $- 5$ by $2$ .

$\frac{2 \cdot t - 10 + 3 t - 4}{8}$

Step 4.4

Add $2 t$ and $3 t$ .

$\frac{5 t - 10 - 4}{8}$

Step 4.5

Subtract $4$ from $- 10$ .

$\frac{5 t - 14}{8}$