Evaluate 207 1/3-3 1/2

$207 \frac{1}{3} - 3 \frac{1}{2}$

Convert $207 \frac{1}{3}$ to an improper fraction.

Expand detailed answer...

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

$207 + \frac{1}{3} - 3 \frac{1}{2}$

Add $207$ and $\frac{1}{3}$ .

Expand detailed answer...

To write $207$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$207 \cdot \frac{3}{3} + \frac{1}{3} - 3 \frac{1}{2}$

Combine $207$ and $\frac{3}{3}$ .

$\frac{207 \cdot 3}{3} + \frac{1}{3} - 3 \frac{1}{2}$

Combine the numerators over the common denominator.

$\frac{207 \cdot 3 + 1}{3} - 3 \frac{1}{2}$

Simplify the numerator.

Expand detailed answer...

Multiply $207$ by $3$ .

$\frac{621 + 1}{3} - 3 \frac{1}{2}$

Add $621$ and $1$ .

$\frac{622}{3} - 3 \frac{1}{2}$

Convert $3 \frac{1}{2}$ to an improper fraction.

Expand detailed answer...

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

$\frac{622}{3} - (3 + \frac{1}{2})$

Add $3$ and $\frac{1}{2}$ .

Expand detailed answer...

To write $3$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{622}{3} - (3 \cdot \frac{2}{2} + \frac{1}{2})$

Combine $3$ and $\frac{2}{2}$ .

$\frac{622}{3} - (\frac{3 \cdot 2}{2} + \frac{1}{2})$

Combine the numerators over the common denominator.

$\frac{622}{3} - \frac{3 \cdot 2 + 1}{2}$

Simplify the numerator.

Expand detailed answer...

Multiply $3$ by $2$ .

$\frac{622}{3} - \frac{6 + 1}{2}$

Add $6$ and $1$ .

$\frac{622}{3} - \frac{7}{2}$

To write $\frac{622}{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{622}{3} \cdot \frac{2}{2} - \frac{7}{2}$

To write $- \frac{7}{2}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{622}{3} \cdot \frac{2}{2} - \frac{7}{2} \cdot \frac{3}{3}$

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

Expand detailed answer...

Multiply $\frac{622}{3}$ and $\frac{2}{2}$ .

$\frac{622 \cdot 2}{3 \cdot 2} - \frac{7}{2} \cdot \frac{3}{3}$

Multiply $3$ by $2$ .

$\frac{622 \cdot 2}{6} - \frac{7}{2} \cdot \frac{3}{3}$

Multiply $\frac{7}{2}$ and $\frac{3}{3}$ .

$\frac{622 \cdot 2}{6} - \frac{7 \cdot 3}{2 \cdot 3}$

Multiply $2$ by $3$ .

$\frac{622 \cdot 2}{6} - \frac{7 \cdot 3}{6}$

Combine the numerators over the common denominator.

$\frac{622 \cdot 2 - 7 \cdot 3}{6}$

Simplify the numerator.

Expand detailed answer...

Multiply $622$ by $2$ .

$\frac{1244 - 7 \cdot 3}{6}$

Multiply $- 7$ by $3$ .

$\frac{1244 - 21}{6}$

Subtract $21$ from $1244$ .

$\frac{1223}{6}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1223}{6}$

Decimal Form:

$203.8\overline{3}$

Mixed Number Form:

$203 \frac{5}{6}$