Basic Math Examples

$1.5 \cdot 4 \frac{1}{5}$

Step 1

Convert

$4 \frac{1}{5}$ to an improper fraction.

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Step 1.1

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

$1.5 \cdot (4 + \frac{1}{5})$

Step 1.2

Add

$4$ and

$\frac{1}{5}$ .

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Step 1.2.1

To write

$4$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$1.5 \cdot (4 \cdot \frac{5}{5} + \frac{1}{5})$

Step 1.2.2

Combine

$4$ and

$\frac{5}{5}$ .

$1.5 \cdot (\frac{4 \cdot 5}{5} + \frac{1}{5})$

Step 1.2.3

Combine the numerators over the common denominator.

$1.5 \cdot \frac{4 \cdot 5 + 1}{5}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$4$ by

$5$ .

$1.5 \cdot \frac{20 + 1}{5}$

Step 1.2.4.2

Add

$20$ and

$1$ .

$1.5 \cdot \frac{21}{5}$

Step 2

Multiply

$1.5 (\frac{21}{5})$ .

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Step 2.1

Combine

$1.5$ and

$\frac{21}{5}$ .

$\frac{1.5 \cdot 21}{5}$

Step 2.2

Multiply

$1.5$ by

$21$ .

$\frac{31.5}{5}$

Step 3

Divide

$31.5$ by

$5$ .

$6.3$