Basic Math Examples

$\frac{1}{4} n \cdot \frac{1}{3} = 1 \frac{3}{4}$

Step 1

Simplify the left side.

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Step 1.1

Simplify $\frac{1}{4} n \cdot \frac{1}{3}$ .

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Step 1.1.1

Combine $\frac{1}{4}$ and $n$ .

$\frac{n}{4} \cdot \frac{1}{3} = 1 \frac{3}{4}$

Step 1.1.2

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

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Step 1.1.2.1

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

$\frac{n}{4 \cdot 3} = 1 \frac{3}{4}$

Step 1.1.2.2

Multiply $4$ by $3$ .

$\frac{n}{12} = 1 \frac{3}{4}$

$\frac{n}{12} = 1 \frac{3}{4}$

$\frac{n}{12} = 1 \frac{3}{4}$

$\frac{n}{12} = 1 \frac{3}{4}$

Step 2

Simplify the right side.

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Step 2.1

Convert $1 \frac{3}{4}$ to an improper fraction.

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Step 2.1.1

A mixed number is an addition of its whole and fractional parts.

$\frac{n}{12} = 1 + \frac{3}{4}$

Step 2.1.2

Add $1$ and $\frac{3}{4}$ .

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Step 2.1.2.1

Write $1$ as a fraction with a common denominator.

$\frac{n}{12} = \frac{4}{4} + \frac{3}{4}$

Step 2.1.2.2

Combine the numerators over the common denominator.

$\frac{n}{12} = \frac{4 + 3}{4}$

Step 2.1.2.3

Add $4$ and $3$ .

$\frac{n}{12} = \frac{7}{4}$

$\frac{n}{12} = \frac{7}{4}$

$\frac{n}{12} = \frac{7}{4}$

$\frac{n}{12} = \frac{7}{4}$

Step 3

Multiply both sides of the equation by $12$ .

$12 \frac{n}{12} = 12 (\frac{7}{4})$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $12$ .

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Step 4.1.1.1

Cancel the common factor.

$12 \frac{n}{12} = 12 (\frac{7}{4})$

Step 4.1.1.2

Rewrite the expression.

$n = 12 (\frac{7}{4})$

$n = 12 (\frac{7}{4})$

$n = 12 (\frac{7}{4})$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify $12 (\frac{7}{4})$ .

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Step 4.2.1.1

Cancel the common factor of $4$ .

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Step 4.2.1.1.1

Factor $4$ out of $12$ .

$n = 4 (3) \frac{7}{4}$

Step 4.2.1.1.2

Cancel the common factor.

$n = 4 \cdot 3 \frac{7}{4}$

Step 4.2.1.1.3

Rewrite the expression.

$n = 3 \cdot 7$

$n = 3 \cdot 7$

Step 4.2.1.2

Multiply $3$ by $7$ .

$n = 21$

$n = 21$

$n = 21$

$n = 21$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$