Basic Math Examples

$1 \frac{1}{5} \cdot 60$

Step 1

Convert

$1 \frac{1}{5}$ to an improper fraction.

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Step 1.1

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

$(1 + \frac{1}{5}) \cdot 60$

Step 1.2

Add

$1$ and

$\frac{1}{5}$ .

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Step 1.2.1

Write

$1$ as a fraction with a common denominator.

$(\frac{5}{5} + \frac{1}{5}) \cdot 60$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{5 + 1}{5} \cdot 60$

Step 1.2.3

Add

$5$ and

$1$ .

$\frac{6}{5} \cdot 60$

Step 2

Cancel the common factor of

$5$ .

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Step 2.1

Factor

$5$ out of

$60$ .

$\frac{6}{5} \cdot (5 (12))$

Step 2.2

Cancel the common factor.

$\frac{6}{5} \cdot (5 \cdot 12)$

Step 2.3

Rewrite the expression.

$6 \cdot 12$

Step 3

Multiply

$6$ by

$12$ .

$72$