Basic Math Examples

$11 qt$ to $3 gal$ ?

Step 1

Convert the ratio to a fraction by making the left side of the ratio the numerator and the right side the denominator.

$\frac{11 qt}{3 gal}$

Step 2

Convert $qt$ to $gal$ .

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Step 2.1

Convert $qt$ to $gal$ .

$\frac{11 qt}{3 gal} \times \frac{1 gal}{4 qt}$

Step 2.2

Cancel the common units and simplify.

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Step 2.2.1

Cross cancel units.

$\frac{11 qt}{3 gal} \times \frac{1 gal}{4 qt}$

Step 2.2.2

Simplify the expression.

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Step 2.2.2.1

Remove the canceled units.

$\frac{11}{3} \times \frac{1}{4}$

Step 2.2.2.2

Multiply $\frac{11}{3} \cdot \frac{1}{4}$ .

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Step 2.2.2.2.1

Multiply $\frac{11}{3}$ by $\frac{1}{4}$ .

$\frac{11}{3 \cdot 4}$

Step 2.2.2.2.2

Multiply $3$ by $4$ .

$\frac{11}{12}$

Step 2.2.3

Factor $11$ out of $\frac{11}{12}$ .

$11 (\frac{1}{12})$

Step 2.2.4

Reorder $11$ and $\frac{1}{12}$ .

$\frac{1}{12} \cdot 11$

Step 2.2.5

Divide $1$ by $12$ .

$0.08\overline{3} \cdot 11$

Step 3

Multiply $0.08\overline{3}$ by $11$ .

$0.91\overline{6}$