Basic Math Examples

$5 \frac{3}{5} + 2.3 + 9.35 + 4.4 + 5.4 + 5.5$

Step 1

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

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Step 1.1

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

$5 + \frac{3}{5} + 2.3 + 9.35 + 4.4 + 5.4 + 5.5$

Step 1.2

Add $5$ and $\frac{3}{5}$ .

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Step 1.2.1

To write $5$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$5 \cdot \frac{5}{5} + \frac{3}{5} + 2.3 + 9.35 + 4.4 + 5.4 + 5.5$

Step 1.2.2

Combine $5$ and $\frac{5}{5}$ .

$\frac{5 \cdot 5}{5} + \frac{3}{5} + 2.3 + 9.35 + 4.4 + 5.4 + 5.5$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{5 \cdot 5 + 3}{5} + 2.3 + 9.35 + 4.4 + 5.4 + 5.5$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $5$ by $5$ .

$\frac{25 + 3}{5} + 2.3 + 9.35 + 4.4 + 5.4 + 5.5$

Step 1.2.4.2

Add $25$ and $3$ .

$\frac{28}{5} + 2.3 + 9.35 + 4.4 + 5.4 + 5.5$

Step 2

To write $2.3$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{28}{5} + 2.3 \cdot \frac{5}{5} + 9.35 + 4.4 + 5.4 + 5.5$

Step 3

Combine $2.3$ and $\frac{5}{5}$ .

$\frac{28}{5} + \frac{2.3 \cdot 5}{5} + 9.35 + 4.4 + 5.4 + 5.5$

Step 4

Combine the numerators over the common denominator.

$\frac{28 + 2.3 \cdot 5}{5} + 9.35 + 4.4 + 5.4 + 5.5$

Step 5

To write $9.35$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{28 + 2.3 \cdot 5}{5} + 9.35 \cdot \frac{5}{5} + 4.4 + 5.4 + 5.5$

Step 6

Combine $9.35$ and $\frac{5}{5}$ .

$\frac{28 + 2.3 \cdot 5}{5} + \frac{9.35 \cdot 5}{5} + 4.4 + 5.4 + 5.5$

Step 7

Combine the numerators over the common denominator.

$\frac{28 + 2.3 \cdot 5 + 9.35 \cdot 5}{5} + 4.4 + 5.4 + 5.5$

Step 8

To write $4.4$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{28 + 2.3 \cdot 5 + 9.35 \cdot 5}{5} + 4.4 \cdot \frac{5}{5} + 5.4 + 5.5$

Step 9

Combine $4.4$ and $\frac{5}{5}$ .

$\frac{28 + 2.3 \cdot 5 + 9.35 \cdot 5}{5} + \frac{4.4 \cdot 5}{5} + 5.4 + 5.5$

Step 10

Combine the numerators over the common denominator.

$\frac{28 + 2.3 \cdot 5 + 9.35 \cdot 5 + 4.4 \cdot 5}{5} + 5.4 + 5.5$

Step 11

To write $5.4$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{28 + 2.3 \cdot 5 + 9.35 \cdot 5 + 4.4 \cdot 5}{5} + 5.4 \cdot \frac{5}{5} + 5.5$

Step 12

Combine $5.4$ and $\frac{5}{5}$ .

$\frac{28 + 2.3 \cdot 5 + 9.35 \cdot 5 + 4.4 \cdot 5}{5} + \frac{5.4 \cdot 5}{5} + 5.5$

Step 13

Combine the numerators over the common denominator.

$\frac{28 + 2.3 \cdot 5 + 9.35 \cdot 5 + 4.4 \cdot 5 + 5.4 \cdot 5}{5} + 5.5$

Step 14

To write $5.5$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{28 + 2.3 \cdot 5 + 9.35 \cdot 5 + 4.4 \cdot 5 + 5.4 \cdot 5}{5} + 5.5 \cdot \frac{5}{5}$

Step 15

Combine $5.5$ and $\frac{5}{5}$ .

$\frac{28 + 2.3 \cdot 5 + 9.35 \cdot 5 + 4.4 \cdot 5 + 5.4 \cdot 5}{5} + \frac{5.5 \cdot 5}{5}$

Step 16

Combine the numerators over the common denominator.

$\frac{28 + 2.3 \cdot 5 + 9.35 \cdot 5 + 4.4 \cdot 5 + 5.4 \cdot 5 + 5.5 \cdot 5}{5}$

Step 17

Rewrite $\frac{28 + 2.3 \cdot 5 + 9.35 \cdot 5 + 4.4 \cdot 5 + 5.4 \cdot 5 + 5.5 \cdot 5}{5}$ in a factored form.

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Step 17.1

Multiply $2.3$ by $5$ .

$\frac{28 + 11.5 + 9.35 \cdot 5 + 4.4 \cdot 5 + 5.4 \cdot 5 + 5.5 \cdot 5}{5}$

Step 17.2

Multiply $9.35$ by $5$ .

$\frac{28 + 11.5 + 46.75 + 4.4 \cdot 5 + 5.4 \cdot 5 + 5.5 \cdot 5}{5}$

Step 17.3

Multiply $4.4$ by $5$ .

$\frac{28 + 11.5 + 46.75 + 22 + 5.4 \cdot 5 + 5.5 \cdot 5}{5}$

Step 17.4

Multiply $5.4$ by $5$ .

$\frac{28 + 11.5 + 46.75 + 22 + 27 + 5.5 \cdot 5}{5}$

Step 17.5

Multiply $5.5$ by $5$ .

$\frac{28 + 11.5 + 46.75 + 22 + 27 + 27.5}{5}$

Step 17.6

Add $28$ and $11.5$ .

$\frac{39.5 + 46.75 + 22 + 27 + 27.5}{5}$

Step 17.7

Add $39.5$ and $46.75$ .

$\frac{86.25 + 22 + 27 + 27.5}{5}$

Step 17.8

Add $86.25$ and $22$ .

$\frac{108.25 + 27 + 27.5}{5}$

Step 17.9

Add $108.25$ and $27$ .

$\frac{135.25 + 27.5}{5}$

Step 17.10

Add $135.25$ and $27.5$ .

$\frac{162.75}{5}$

Step 17.11

Divide $162.75$ by $5$ .

$32.55$