Basic Math Examples

3 \frac{4}{5} \cdot 10

$3 \frac{4}{5} \cdot 10$

Step 1

Convert

3 \frac{4}{5}

$3 \frac{4}{5}$ to an improper fraction.

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Step 1.1

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

(3 + \frac{4}{5}) \cdot 10

$(3 + \frac{4}{5}) \cdot 10$

Step 1.2

Add

3

$3$ and

\frac{4}{5}

$\frac{4}{5}$ .

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Step 1.2.1

To write

3

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

\frac{5}{5}

$\frac{5}{5}$ .

(3 \cdot \frac{5}{5} + \frac{4}{5}) \cdot 10

$(3 \cdot \frac{5}{5} + \frac{4}{5}) \cdot 10$

Step 1.2.2

Combine

3

$3$ and

\frac{5}{5}

$\frac{5}{5}$ .

(\frac{3 \cdot 5}{5} + \frac{4}{5}) \cdot 10

$(\frac{3 \cdot 5}{5} + \frac{4}{5}) \cdot 10$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{3 \cdot 5 + 4}{5} \cdot 10

$\frac{3 \cdot 5 + 4}{5} \cdot 10$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

3

$3$ by

5

$5$ .

\frac{15 + 4}{5} \cdot 10

$\frac{15 + 4}{5} \cdot 10$

Step 1.2.4.2

Add

15

$15$ and

4

$4$ .

\frac{19}{5} \cdot 10

$\frac{19}{5} \cdot 10$

\frac{19}{5} \cdot 10

$\frac{19}{5} \cdot 10$

\frac{19}{5} \cdot 10

$\frac{19}{5} \cdot 10$

\frac{19}{5} \cdot 10

$\frac{19}{5} \cdot 10$

Step 2

Cancel the common factor of

5

$5$ .

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Step 2.1

Factor

5

$5$ out of

10

$10$ .

\frac{19}{5} \cdot (5 (2))

$\frac{19}{5} \cdot (5 (2))$

Step 2.2

Cancel the common factor.

$\frac{19}{5} \cdot (5 \cdot 2)$

Step 2.3

Rewrite the expression.

$19 \cdot 2$

Step 3

Multiply

$19$ by

$2$ .

$38$