Basic Math Examples

$18 \frac{5}{12} + 8 \frac{10}{17} + 23 \frac{7}{12} + 28 \frac{7}{17}$

Step 1

Convert $18 \frac{5}{12}$ to an improper fraction.

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Step 1.1

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

$18 + \frac{5}{12} + 8 \frac{10}{17} + 23 \frac{7}{12} + 28 \frac{7}{17}$

Step 1.2

Add $18$ and $\frac{5}{12}$ .

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Step 1.2.1

To write $18$ as a fraction with a common denominator, multiply by $\frac{12}{12}$ .

$18 \cdot \frac{12}{12} + \frac{5}{12} + 8 \frac{10}{17} + 23 \frac{7}{12} + 28 \frac{7}{17}$

Step 1.2.2

Combine $18$ and $\frac{12}{12}$ .

$\frac{18 \cdot 12}{12} + \frac{5}{12} + 8 \frac{10}{17} + 23 \frac{7}{12} + 28 \frac{7}{17}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{18 \cdot 12 + 5}{12} + 8 \frac{10}{17} + 23 \frac{7}{12} + 28 \frac{7}{17}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $18$ by $12$ .

$\frac{216 + 5}{12} + 8 \frac{10}{17} + 23 \frac{7}{12} + 28 \frac{7}{17}$

Step 1.2.4.2

Add $216$ and $5$ .

$\frac{221}{12} + 8 \frac{10}{17} + 23 \frac{7}{12} + 28 \frac{7}{17}$

Step 2

Convert $8 \frac{10}{17}$ to an improper fraction.

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Step 2.1

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

$\frac{221}{12} + 8 + \frac{10}{17} + 23 \frac{7}{12} + 28 \frac{7}{17}$

Step 2.2

Add $8$ and $\frac{10}{17}$ .

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Step 2.2.1

To write $8$ as a fraction with a common denominator, multiply by $\frac{17}{17}$ .

$\frac{221}{12} + 8 \cdot \frac{17}{17} + \frac{10}{17} + 23 \frac{7}{12} + 28 \frac{7}{17}$

Step 2.2.2

Combine $8$ and $\frac{17}{17}$ .

$\frac{221}{12} + \frac{8 \cdot 17}{17} + \frac{10}{17} + 23 \frac{7}{12} + 28 \frac{7}{17}$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{221}{12} + \frac{8 \cdot 17 + 10}{17} + 23 \frac{7}{12} + 28 \frac{7}{17}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply $8$ by $17$ .

$\frac{221}{12} + \frac{136 + 10}{17} + 23 \frac{7}{12} + 28 \frac{7}{17}$

Step 2.2.4.2

Add $136$ and $10$ .

$\frac{221}{12} + \frac{146}{17} + 23 \frac{7}{12} + 28 \frac{7}{17}$

Step 3

Convert $23 \frac{7}{12}$ to an improper fraction.

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Step 3.1

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

$\frac{221}{12} + \frac{146}{17} + 23 + \frac{7}{12} + 28 \frac{7}{17}$

Step 3.2

Add $23$ and $\frac{7}{12}$ .

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Step 3.2.1

To write $23$ as a fraction with a common denominator, multiply by $\frac{12}{12}$ .

$\frac{221}{12} + \frac{146}{17} + 23 \cdot \frac{12}{12} + \frac{7}{12} + 28 \frac{7}{17}$

Step 3.2.2

Combine $23$ and $\frac{12}{12}$ .

$\frac{221}{12} + \frac{146}{17} + \frac{23 \cdot 12}{12} + \frac{7}{12} + 28 \frac{7}{17}$

Step 3.2.3

Combine the numerators over the common denominator.

$\frac{221}{12} + \frac{146}{17} + \frac{23 \cdot 12 + 7}{12} + 28 \frac{7}{17}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply $23$ by $12$ .

$\frac{221}{12} + \frac{146}{17} + \frac{276 + 7}{12} + 28 \frac{7}{17}$

Step 3.2.4.2

Add $276$ and $7$ .

$\frac{221}{12} + \frac{146}{17} + \frac{283}{12} + 28 \frac{7}{17}$

Step 4

Convert $28 \frac{7}{17}$ to an improper fraction.

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Step 4.1

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

$\frac{221}{12} + \frac{146}{17} + \frac{283}{12} + 28 + \frac{7}{17}$

Step 4.2

Add $28$ and $\frac{7}{17}$ .

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Step 4.2.1

To write $28$ as a fraction with a common denominator, multiply by $\frac{17}{17}$ .

$\frac{221}{12} + \frac{146}{17} + \frac{283}{12} + 28 \cdot \frac{17}{17} + \frac{7}{17}$

Step 4.2.2

Combine $28$ and $\frac{17}{17}$ .

$\frac{221}{12} + \frac{146}{17} + \frac{283}{12} + \frac{28 \cdot 17}{17} + \frac{7}{17}$

Step 4.2.3

Combine the numerators over the common denominator.

$\frac{221}{12} + \frac{146}{17} + \frac{283}{12} + \frac{28 \cdot 17 + 7}{17}$

Step 4.2.4

Simplify the numerator.

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Step 4.2.4.1

Multiply $28$ by $17$ .

$\frac{221}{12} + \frac{146}{17} + \frac{283}{12} + \frac{476 + 7}{17}$

Step 4.2.4.2

Add $476$ and $7$ .

$\frac{221}{12} + \frac{146}{17} + \frac{283}{12} + \frac{483}{17}$

Step 5

Combine fractions.

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Step 5.1

Combine the numerators over the common denominator.

$\frac{221 + 283}{12} + \frac{146 + 483}{17}$

Step 5.2

Simplify by adding numbers.

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Step 5.2.1

Add $221$ and $283$ .

$\frac{504}{12} + \frac{146 + 483}{17}$

Step 5.2.2

Add $146$ and $483$ .

$\frac{504}{12} + \frac{629}{17}$

Step 6

Simplify each term.

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Step 6.1

Divide $504$ by $12$ .

$42 + \frac{629}{17}$

Step 6.2

Divide $629$ by $17$ .

$42 + 37$

Step 7

Add $42$ and $37$ .

$79$