Basic Math Examples

$5.5 + 3 \cdot 7 + ((\frac{12}{3}) + 2 + 4.5)$

Step 1

Remove parentheses.

$5.5 + 3 \cdot 7 + (\frac{12}{3}) + 2 + 4.5$

Step 2

Find the common denominator.

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Step 2.1

Write $5.5$ as a fraction with denominator $1$ .

$\frac{5.5}{1} + 3 \cdot 7 + \frac{12}{3} + 2 + 4.5$

Step 2.2

Multiply $\frac{5.5}{1}$ by $\frac{3}{3}$ .

$\frac{5.5}{1} \cdot \frac{3}{3} + 3 \cdot 7 + \frac{12}{3} + 2 + 4.5$

Step 2.3

Multiply $\frac{5.5}{1}$ by $\frac{3}{3}$ .

$\frac{5.5 \cdot 3}{3} + 3 \cdot 7 + \frac{12}{3} + 2 + 4.5$

Step 2.4

Write $3 \cdot 7$ as a fraction with denominator $1$ .

$\frac{5.5 \cdot 3}{3} + \frac{3 \cdot 7}{1} + \frac{12}{3} + 2 + 4.5$

Step 2.5

Multiply $\frac{3 \cdot 7}{1}$ by $\frac{3}{3}$ .

$\frac{5.5 \cdot 3}{3} + \frac{3 \cdot 7}{1} \cdot \frac{3}{3} + \frac{12}{3} + 2 + 4.5$

Step 2.6

Multiply $\frac{3 \cdot 7}{1}$ by $\frac{3}{3}$ .

$\frac{5.5 \cdot 3}{3} + \frac{3 \cdot 7 \cdot 3}{3} + \frac{12}{3} + 2 + 4.5$

Step 2.7

Write $2$ as a fraction with denominator $1$ .

$\frac{5.5 \cdot 3}{3} + \frac{3 \cdot 7 \cdot 3}{3} + \frac{12}{3} + \frac{2}{1} + 4.5$

Step 2.8

Multiply $\frac{2}{1}$ by $\frac{3}{3}$ .

$\frac{5.5 \cdot 3}{3} + \frac{3 \cdot 7 \cdot 3}{3} + \frac{12}{3} + \frac{2}{1} \cdot \frac{3}{3} + 4.5$

Step 2.9

Multiply $\frac{2}{1}$ by $\frac{3}{3}$ .

$\frac{5.5 \cdot 3}{3} + \frac{3 \cdot 7 \cdot 3}{3} + \frac{12}{3} + \frac{2 \cdot 3}{3} + 4.5$

Step 2.10

Write $4.5$ as a fraction with denominator $1$ .

$\frac{5.5 \cdot 3}{3} + \frac{3 \cdot 7 \cdot 3}{3} + \frac{12}{3} + \frac{2 \cdot 3}{3} + \frac{4.5}{1}$

Step 2.11

Multiply $\frac{4.5}{1}$ by $\frac{3}{3}$ .

$\frac{5.5 \cdot 3}{3} + \frac{3 \cdot 7 \cdot 3}{3} + \frac{12}{3} + \frac{2 \cdot 3}{3} + \frac{4.5}{1} \cdot \frac{3}{3}$

Step 2.12

Multiply $\frac{4.5}{1}$ by $\frac{3}{3}$ .

$\frac{5.5 \cdot 3}{3} + \frac{3 \cdot 7 \cdot 3}{3} + \frac{12}{3} + \frac{2 \cdot 3}{3} + \frac{4.5 \cdot 3}{3}$

Step 3

Combine the numerators over the common denominator.

$\frac{5.5 \cdot 3 + 3 \cdot 7 \cdot 3 + 12 + 2 \cdot 3 + 4.5 \cdot 3}{3}$

Step 4

Simplify each term.

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Step 4.1

Multiply $5.5$ by $3$ .

$\frac{16.5 + 3 \cdot 7 \cdot 3 + 12 + 2 \cdot 3 + 4.5 \cdot 3}{3}$

Step 4.2

Multiply $3 \cdot 7 \cdot 3$ .

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Step 4.2.1

Multiply $3$ by $7$ .

$\frac{16.5 + 21 \cdot 3 + 12 + 2 \cdot 3 + 4.5 \cdot 3}{3}$

Step 4.2.2

Multiply $21$ by $3$ .

$\frac{16.5 + 63 + 12 + 2 \cdot 3 + 4.5 \cdot 3}{3}$

Step 4.3

Multiply $2$ by $3$ .

$\frac{16.5 + 63 + 12 + 6 + 4.5 \cdot 3}{3}$

Step 4.4

Multiply $4.5$ by $3$ .

$\frac{16.5 + 63 + 12 + 6 + 13.5}{3}$

Step 5

Simplify the expression.

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Step 5.1

Add $16.5$ and $63$ .

$\frac{79.5 + 12 + 6 + 13.5}{3}$

Step 5.2

Add $79.5$ and $12$ .

$\frac{91.5 + 6 + 13.5}{3}$

Step 5.3

Add $91.5$ and $6$ .

$\frac{97.5 + 13.5}{3}$

Step 5.4

Add $97.5$ and $13.5$ .

$\frac{111}{3}$

Step 5.5

Divide $111$ by $3$ .

$37$