Find the Exact Value 27 1/3-16 1/4-4 1/2

$27 \frac{1}{3} - 16 \frac{1}{4} - 4 \frac{1}{2}$

Convert $27 \frac{1}{3}$ to an improper fraction.

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

$27 + \frac{1}{3} - 16 \frac{1}{4} - 4 \frac{1}{2}$

Add $27$ and $\frac{1}{3}$ .

To write $27$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$27 \cdot \frac{3}{3} + \frac{1}{3} - 16 \frac{1}{4} - 4 \frac{1}{2}$

Combine $27$ and $\frac{3}{3}$ .

$\frac{27 \cdot 3}{3} + \frac{1}{3} - 16 \frac{1}{4} - 4 \frac{1}{2}$

Combine the numerators over the common denominator.

$\frac{27 \cdot 3 + 1}{3} - 16 \frac{1}{4} - 4 \frac{1}{2}$

Simplify the numerator.

Multiply $27$ by $3$ .

$\frac{81 + 1}{3} - 16 \frac{1}{4} - 4 \frac{1}{2}$

Add $81$ and $1$ .

$\frac{82}{3} - 16 \frac{1}{4} - 4 \frac{1}{2}$

Convert $16 \frac{1}{4}$ to an improper fraction.

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

$\frac{82}{3} - (16 + \frac{1}{4}) - 4 \frac{1}{2}$

Add $16$ and $\frac{1}{4}$ .

To write $16$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{82}{3} - (16 \cdot \frac{4}{4} + \frac{1}{4}) - 4 \frac{1}{2}$

Combine $16$ and $\frac{4}{4}$ .

$\frac{82}{3} - (\frac{16 \cdot 4}{4} + \frac{1}{4}) - 4 \frac{1}{2}$

Combine the numerators over the common denominator.

$\frac{82}{3} - \frac{16 \cdot 4 + 1}{4} - 4 \frac{1}{2}$

Simplify the numerator.

Multiply $16$ by $4$ .

$\frac{82}{3} - \frac{64 + 1}{4} - 4 \frac{1}{2}$

Add $64$ and $1$ .

$\frac{82}{3} - \frac{65}{4} - 4 \frac{1}{2}$

Convert $4 \frac{1}{2}$ to an improper fraction.

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

$\frac{82}{3} - \frac{65}{4} - (4 + \frac{1}{2})$

Add $4$ and $\frac{1}{2}$ .

To write $4$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{82}{3} - \frac{65}{4} - (4 \cdot \frac{2}{2} + \frac{1}{2})$

Combine $4$ and $\frac{2}{2}$ .

$\frac{82}{3} - \frac{65}{4} - (\frac{4 \cdot 2}{2} + \frac{1}{2})$

Combine the numerators over the common denominator.

$\frac{82}{3} - \frac{65}{4} - \frac{4 \cdot 2 + 1}{2}$

Simplify the numerator.

Multiply $4$ by $2$ .

$\frac{82}{3} - \frac{65}{4} - \frac{8 + 1}{2}$

Add $8$ and $1$ .

$\frac{82}{3} - \frac{65}{4} - \frac{9}{2}$

Find the common denominator.

Multiply $\frac{82}{3}$ by $\frac{4}{4}$ .

$\frac{82}{3} \cdot \frac{4}{4} - \frac{65}{4} - \frac{9}{2}$

Multiply $\frac{82}{3}$ by $\frac{4}{4}$ .

$\frac{82 \cdot 4}{3 \cdot 4} - \frac{65}{4} - \frac{9}{2}$

Multiply $\frac{65}{4}$ by $\frac{3}{3}$ .

$\frac{82 \cdot 4}{3 \cdot 4} - (\frac{65}{4} \cdot \frac{3}{3}) - \frac{9}{2}$

Multiply $\frac{65}{4}$ by $\frac{3}{3}$ .

$\frac{82 \cdot 4}{3 \cdot 4} - \frac{65 \cdot 3}{4 \cdot 3} - \frac{9}{2}$

Multiply $\frac{9}{2}$ by $\frac{6}{6}$ .

$\frac{82 \cdot 4}{3 \cdot 4} - \frac{65 \cdot 3}{4 \cdot 3} - (\frac{9}{2} \cdot \frac{6}{6})$

Multiply $\frac{9}{2}$ by $\frac{6}{6}$ .

$\frac{82 \cdot 4}{3 \cdot 4} - \frac{65 \cdot 3}{4 \cdot 3} - \frac{9 \cdot 6}{2 \cdot 6}$

Multiply $3$ by $4$ .

$\frac{82 \cdot 4}{12} - \frac{65 \cdot 3}{4 \cdot 3} - \frac{9 \cdot 6}{2 \cdot 6}$

Reorder the factors of $4 \cdot 3$ .

$\frac{82 \cdot 4}{12} - \frac{65 \cdot 3}{3 \cdot 4} - \frac{9 \cdot 6}{2 \cdot 6}$

Multiply $3$ by $4$ .

$\frac{82 \cdot 4}{12} - \frac{65 \cdot 3}{12} - \frac{9 \cdot 6}{2 \cdot 6}$

Multiply $2$ by $6$ .

$\frac{82 \cdot 4}{12} - \frac{65 \cdot 3}{12} - \frac{9 \cdot 6}{12}$

Combine the numerators over the common denominator.

$\frac{82 \cdot 4 - 65 \cdot 3 - 9 \cdot 6}{12}$

Simplify each term.

Multiply $82$ by $4$ .

$\frac{328 - 65 \cdot 3 - 9 \cdot 6}{12}$

Multiply $- 65$ by $3$ .

$\frac{328 - 195 - 9 \cdot 6}{12}$

Multiply $- 9$ by $6$ .

$\frac{328 - 195 - 54}{12}$

Simplify by subtracting numbers.

Subtract $195$ from $328$ .

$\frac{133 - 54}{12}$

Subtract $54$ from $133$ .

$\frac{79}{12}$

The result can be shown in multiple forms.

Exact Form:

$\frac{79}{12}$

Decimal Form:

$6.58\overline{3}$

Mixed Number Form:

$6 \frac{7}{12}$

Find the Exact Value 27 1/3-16 1/4-4 1/2

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