Evaluate 105/2-39/10

$\frac{105}{2} - \frac{39}{10}$

To write $\frac{105}{2}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{105}{2} \cdot \frac{5}{5} - \frac{39}{10}$

Write each expression with a common denominator of $10$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{105}{2}$ and $\frac{5}{5}$ .

$\frac{105 \cdot 5}{2 \cdot 5} - \frac{39}{10}$

Multiply $2$ by $5$ .

$\frac{105 \cdot 5}{10} - \frac{39}{10}$

Combine the numerators over the common denominator.

$\frac{105 \cdot 5 - 39}{10}$

Simplify the numerator.

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Multiply $105$ by $5$ .

$\frac{525 - 39}{10}$

Subtract $39$ from $525$ .

$\frac{486}{10}$

Cancel the common factor of $486$ and $10$ .

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Factor $2$ out of $486$ .

$\frac{2 (243)}{10}$

Cancel the common factors.

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Factor $2$ out of $10$ .

$\frac{2 \cdot 243}{2 \cdot 5}$

Cancel the common factor.

$\frac{2 \cdot 243}{2 \cdot 5}$

Rewrite the expression.

$\frac{243}{5}$

The result can be shown in multiple forms.

Exact Form:

$\frac{243}{5}$

Decimal Form:

$48.6$

Mixed Number Form:

$48 \frac{3}{5}$

Evaluate 105/2-39/10