Basic Math Examples

$8.58 \cdot 3 \frac{3}{8}$

Step 1

Convert $3 \frac{3}{8}$ to an improper fraction.

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Step 1.1

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

$8.58 \cdot (3 + \frac{3}{8})$

Step 1.2

Add $3$ and $\frac{3}{8}$ .

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Step 1.2.1

To write $3$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$8.58 \cdot (3 \cdot \frac{8}{8} + \frac{3}{8})$

Step 1.2.2

Combine $3$ and $\frac{8}{8}$ .

$8.58 \cdot (\frac{3 \cdot 8}{8} + \frac{3}{8})$

Step 1.2.3

Combine the numerators over the common denominator.

$8.58 \cdot \frac{3 \cdot 8 + 3}{8}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $3$ by $8$ .

$8.58 \cdot \frac{24 + 3}{8}$

Step 1.2.4.2

Add $24$ and $3$ .

$8.58 \cdot \frac{27}{8}$

Step 2

Multiply $8.58 (\frac{27}{8})$ .

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Step 2.1

Combine $8.58$ and $\frac{27}{8}$ .

$\frac{8.58 \cdot 27}{8}$

Step 2.2

Multiply $8.58$ by $27$ .

$\frac{231.66}{8}$

Step 3

Divide $231.66$ by $8$ .

$28.9575$