Basic Math Examples

$1 \frac{5}{12} + \frac{11}{24} + \frac{11}{24} + 1 + 1$

Step 1

Convert $1 \frac{5}{12}$ to an improper fraction.

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Step 1.1

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

$1 + \frac{5}{12} + \frac{11}{24} + \frac{11}{24} + 1 + 1$

Step 1.2

Add $1$ and $\frac{5}{12}$ .

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Step 1.2.1

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

$\frac{12}{12} + \frac{5}{12} + \frac{11}{24} + \frac{11}{24} + 1 + 1$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{12 + 5}{12} + \frac{11}{24} + \frac{11}{24} + 1 + 1$

Step 1.2.3

Add $12$ and $5$ .

$\frac{17}{12} + \frac{11}{24} + \frac{11}{24} + 1 + 1$

Step 2

Combine the numerators over the common denominator.

$1 + 1 + \frac{17}{12} + \frac{11 + 11}{24}$

Step 3

Add $11$ and $11$ .

$1 + 1 + \frac{17}{12} + \frac{22}{24}$

Step 4

Find the common denominator.

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Step 4.1

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

$\frac{1}{1} + 1 + \frac{17}{12} + \frac{22}{24}$

Step 4.2

Multiply $\frac{1}{1}$ by $\frac{24}{24}$ .

$\frac{1}{1} \cdot \frac{24}{24} + 1 + \frac{17}{12} + \frac{22}{24}$

Step 4.3

Multiply $\frac{1}{1}$ by $\frac{24}{24}$ .

$\frac{24}{24} + 1 + \frac{17}{12} + \frac{22}{24}$

Step 4.4

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

$\frac{24}{24} + \frac{1}{1} + \frac{17}{12} + \frac{22}{24}$

Step 4.5

Multiply $\frac{1}{1}$ by $\frac{24}{24}$ .

$\frac{24}{24} + \frac{1}{1} \cdot \frac{24}{24} + \frac{17}{12} + \frac{22}{24}$

Step 4.6

Multiply $\frac{1}{1}$ by $\frac{24}{24}$ .

$\frac{24}{24} + \frac{24}{24} + \frac{17}{12} + \frac{22}{24}$

Step 4.7

Multiply $\frac{17}{12}$ by $\frac{2}{2}$ .

$\frac{24}{24} + \frac{24}{24} + \frac{17}{12} \cdot \frac{2}{2} + \frac{22}{24}$

Step 4.8

Multiply $\frac{17}{12}$ by $\frac{2}{2}$ .

$\frac{24}{24} + \frac{24}{24} + \frac{17 \cdot 2}{12 \cdot 2} + \frac{22}{24}$

Step 4.9

Reorder the factors of $12 \cdot 2$ .

$\frac{24}{24} + \frac{24}{24} + \frac{17 \cdot 2}{2 \cdot 12} + \frac{22}{24}$

Step 4.10

Multiply $2$ by $12$ .

$\frac{24}{24} + \frac{24}{24} + \frac{17 \cdot 2}{24} + \frac{22}{24}$

Step 5

Combine the numerators over the common denominator.

$\frac{24 + 24 + 17 \cdot 2 + 22}{24}$

Step 6

Simplify the expression.

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Step 6.1

Multiply $17$ by $2$ .

$\frac{24 + 24 + 34 + 22}{24}$

Step 6.2

Add $24$ and $24$ .

$\frac{48 + 34 + 22}{24}$

Step 6.3

Add $48$ and $34$ .

$\frac{82 + 22}{24}$

Step 6.4

Add $82$ and $22$ .

$\frac{104}{24}$

Step 7

Cancel the common factor of $104$ and $24$ .

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Step 7.1

Factor $8$ out of $104$ .

$\frac{8 (13)}{24}$

Step 7.2

Cancel the common factors.

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Step 7.2.1

Factor $8$ out of $24$ .

$\frac{8 \cdot 13}{8 \cdot 3}$

Step 7.2.2

Cancel the common factor.

$\frac{8 \cdot 13}{8 \cdot 3}$

Step 7.2.3

Rewrite the expression.

$\frac{13}{3}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{13}{3}$

Decimal Form:

$4.\overline{3}$

Mixed Number Form:

$4 \frac{1}{3}$