Solve for t 65t/60=60(t+10)/60

$65 \cdot \frac{t}{60} = 60 \cdot \frac{t + 10}{60}$

Step 1

Simplify $65 \cdot \frac{t}{60}$ .

Rewrite.

$0 + 0 + 65 \cdot \frac{t}{60} = 60 \cdot \frac{t + 10}{60}$

Simplify by adding zeros.

$65 \cdot \frac{t}{60} = 60 \cdot \frac{t + 10}{60}$

Cancel the common factor of $5$ .

Factor $5$ out of $65$ .

$5 (13) \cdot \frac{t}{60} = 60 \cdot \frac{t + 10}{60}$

Factor $5$ out of $60$ .

$5 \cdot 13 \cdot \frac{t}{5 \cdot 12} = 60 \cdot \frac{t + 10}{60}$

Cancel the common factor.

$5 \cdot 13 \cdot \frac{t}{5 \cdot 12} = 60 \cdot \frac{t + 10}{60}$

Rewrite the expression.

$13 \cdot \frac{t}{12} = 60 \cdot \frac{t + 10}{60}$

$\frac{13 t}{12} = 60 \cdot \frac{t + 10}{60}$

Step 2

Cancel the common factor of $60$ .

Cancel the common factor.

$\frac{13 t}{12} = 60 \cdot \frac{t + 10}{60}$

Rewrite the expression.

$\frac{13 t}{12} = t + 10$

Step 3

Move all terms containing $t$ to the left side of the equation.

Subtract $t$ from both sides of the equation.

$\frac{13 t}{12} - t = 10$

To write $- t$ as a fraction with a common denominator, multiply by $\frac{12}{12}$ .

$\frac{13 t}{12} - t \cdot \frac{12}{12} = 10$

Combine $- t$ and $\frac{12}{12}$ .

$\frac{13 t}{12} + \frac{- t \cdot 12}{12} = 10$

Combine the numerators over the common denominator.

$\frac{13 t - t \cdot 12}{12} = 10$

Simplify the numerator.

Factor $t$ out of $13 t - t \cdot 12$ .

Factor $t$ out of $13 t$ .

$\frac{t \cdot 13 - t \cdot 12}{12} = 10$

Factor $t$ out of $- t \cdot 12$ .

$\frac{t \cdot 13 + t (- 1 \cdot 12)}{12} = 10$

Factor $t$ out of $t \cdot 13 + t (- 1 \cdot 12)$ .

$\frac{t (13 - 1 \cdot 12)}{12} = 10$

Multiply $- 1$ by $12$ .

$\frac{t (13 - 12)}{12} = 10$

Subtract $12$ from $13$ .

$\frac{t \cdot 1}{12} = 10$

Multiply $t$ by $1$ .

$\frac{t}{12} = 10$

Step 4

Multiply both sides of the equation by $12$ .

$12 \frac{t}{12} = 12 \cdot 10$

Step 5

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$12 \frac{t}{12} = 12 \cdot 10$

Rewrite the expression.

$t = 12 \cdot 10$

Simplify the right side.

Multiply $12$ by $10$ .

$t = 120$

Solve for t 65*t/60=60*(t+10)/60

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Solve for t 65t/60=60(t+10)/60