Basic Math Examples

$71 \cdot \frac{t}{60} = (t \cdot 6)$

Step 1

Simplify $71 \cdot \frac{t}{60}$ .

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Step 1.1

Rewrite.

$0 + 0 + 71 \cdot \frac{t}{60} = t \cdot 6$

Step 1.2

Simplify by adding zeros.

$\frac{71 t}{60} = t \cdot 6$

Step 2

Move $6$ to the left of $t$ .

$\frac{71 t}{60} = 6 t$

Step 3

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

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Step 3.1

Subtract $6 t$ from both sides of the equation.

$\frac{71 t}{60} - 6 t = 0$

Step 3.2

To write $- 6 t$ as a fraction with a common denominator, multiply by $\frac{60}{60}$ .

$\frac{71 t}{60} - 6 t \cdot \frac{60}{60} = 0$

Step 3.3

Combine $- 6 t$ and $\frac{60}{60}$ .

$\frac{71 t}{60} + \frac{- 6 t \cdot 60}{60} = 0$

Step 3.4

Combine the numerators over the common denominator.

$\frac{71 t - 6 t \cdot 60}{60} = 0$

Step 3.5

Simplify the numerator.

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Step 3.5.1

Factor $t$ out of $71 t - 6 t \cdot 60$ .

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Step 3.5.1.1

Factor $t$ out of $71 t$ .

$\frac{t \cdot 71 - 6 t \cdot 60}{60} = 0$

Step 3.5.1.2

Factor $t$ out of $- 6 t \cdot 60$ .

$\frac{t \cdot 71 + t (- 6 \cdot 60)}{60} = 0$

Step 3.5.1.3

Factor $t$ out of $t \cdot 71 + t (- 6 \cdot 60)$ .

$\frac{t (71 - 6 \cdot 60)}{60} = 0$

Step 3.5.2

Multiply $- 6$ by $60$ .

$\frac{t (71 - 360)}{60} = 0$

Step 3.5.3

Subtract $360$ from $71$ .

$\frac{t \cdot - 289}{60} = 0$

Step 3.6

Move $- 289$ to the left of $t$ .

$\frac{- 289 \cdot t}{60} = 0$

Step 3.7

Move the negative in front of the fraction.

$- \frac{289 t}{60} = 0$

Step 4

Set the numerator equal to zero.

$289 t = 0$

Step 5

Divide each term in $289 t = 0$ by $289$ and simplify.

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Step 5.1

Divide each term in $289 t = 0$ by $289$ .

$\frac{289 t}{289} = \frac{0}{289}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $289$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{289 t}{289} = \frac{0}{289}$

Step 5.2.1.2

Divide $t$ by $1$ .

$t = \frac{0}{289}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $0$ by $289$ .

$t = 0$