Basic Math Examples

$50 \frac{1}{6} \cdot 96$

Step 1

Convert

$50 \frac{1}{6}$ to an improper fraction.

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Step 1.1

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

$(50 + \frac{1}{6}) \cdot 96$

Step 1.2

Add

$50$ and

$\frac{1}{6}$ .

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Step 1.2.1

To write

$50$ as a fraction with a common denominator, multiply by

$\frac{6}{6}$ .

$(50 \cdot \frac{6}{6} + \frac{1}{6}) \cdot 96$

Step 1.2.2

Combine

$50$ and

$\frac{6}{6}$ .

$(\frac{50 \cdot 6}{6} + \frac{1}{6}) \cdot 96$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{50 \cdot 6 + 1}{6} \cdot 96$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$50$ by

$6$ .

$\frac{300 + 1}{6} \cdot 96$

Step 1.2.4.2

Add

$300$ and

$1$ .

$\frac{301}{6} \cdot 96$

Step 2

Cancel the common factor of

$6$ .

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Step 2.1

Factor

$6$ out of

$96$ .

$\frac{301}{6} \cdot (6 (16))$

Step 2.2

Cancel the common factor.

$\frac{301}{6} \cdot (6 \cdot 16)$

Step 2.3

Rewrite the expression.

$301 \cdot 16$

Step 3

Multiply

$301$ by

$16$ .

$4816$