Basic Math Examples

348 \cdot 3 \frac{3}{4}

$348 \cdot 3 \frac{3}{4}$

Step 1

Convert

3 \frac{3}{4}

$3 \frac{3}{4}$ to an improper fraction.

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Step 1.1

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

348 \cdot (3 + \frac{3}{4})

$348 \cdot (3 + \frac{3}{4})$

Step 1.2

Add

3

$3$ and

\frac{3}{4}

$\frac{3}{4}$ .

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Step 1.2.1

To write

3

$3$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

348 \cdot (3 \cdot \frac{4}{4} + \frac{3}{4})

$348 \cdot (3 \cdot \frac{4}{4} + \frac{3}{4})$

Step 1.2.2

Combine

3

$3$ and

\frac{4}{4}

$\frac{4}{4}$ .

348 \cdot (\frac{3 \cdot 4}{4} + \frac{3}{4})

$348 \cdot (\frac{3 \cdot 4}{4} + \frac{3}{4})$

Step 1.2.3

Combine the numerators over the common denominator.

348 \cdot \frac{3 \cdot 4 + 3}{4}

$348 \cdot \frac{3 \cdot 4 + 3}{4}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

3

$3$ by

4

$4$ .

348 \cdot \frac{12 + 3}{4}

$348 \cdot \frac{12 + 3}{4}$

Step 1.2.4.2

Add

12

$12$ and

3

$3$ .

348 \cdot \frac{15}{4}

$348 \cdot \frac{15}{4}$

348 \cdot \frac{15}{4}

$348 \cdot \frac{15}{4}$

348 \cdot \frac{15}{4}

$348 \cdot \frac{15}{4}$

348 \cdot \frac{15}{4}

$348 \cdot \frac{15}{4}$

Step 2

Cancel the common factor of

4

$4$ .

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Step 2.1

Factor

4

$4$ out of

348

$348$ .

4 (87) \cdot \frac{15}{4}

$4 (87) \cdot \frac{15}{4}$

Step 2.2

Cancel the common factor.

$4 \cdot 87 \cdot \frac{15}{4}$

Step 2.3

Rewrite the expression.

$87 \cdot 15$

Step 3

Multiply

$87$ by

$15$ .

$1305$