Pre-Algebra Examples

$\frac{7}{1 \frac{1}{3}} \cdot \frac{83}{x}$

Step 1

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

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Step 1.1

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

$\frac{7}{1 + \frac{1}{3}} \cdot \frac{83}{x}$

Step 1.2

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

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Step 1.2.1

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

$\frac{7}{\frac{3}{3} + \frac{1}{3}} \cdot \frac{83}{x}$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{7}{\frac{3 + 1}{3}} \cdot \frac{83}{x}$

Step 1.2.3

Add $3$ and $1$ .

$\frac{7}{\frac{4}{3}} \cdot \frac{83}{x}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$7 (\frac{3}{4}) \cdot \frac{83}{x}$

Step 3

Multiply $7 (\frac{3}{4})$ .

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Step 3.1

Combine $7$ and $\frac{3}{4}$ .

$\frac{7 \cdot 3}{4} \cdot \frac{83}{x}$

Step 3.2

Multiply $7$ by $3$ .

$\frac{21}{4} \cdot \frac{83}{x}$

Step 4

Multiply $\frac{21}{4} \cdot \frac{83}{x}$ .

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Step 4.1

Multiply $\frac{21}{4}$ by $\frac{83}{x}$ .

$\frac{21 \cdot 83}{4 x}$

Step 4.2

Multiply $21$ by $83$ .

$\frac{1743}{4 x}$