Basic Math Examples

$\frac{125}{3} + \frac{75}{2} - \frac{27}{3} - \frac{27}{2}$

Step 1

Combine the numerators over the common denominator.

$\frac{125 - 27}{3} + \frac{75 - 27}{2}$

Step 2

Simplify the expression.

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Step 2.1

Subtract $27$ from $125$ .

$\frac{98}{3} + \frac{75 - 27}{2}$

Step 2.2

Subtract $27$ from $75$ .

$\frac{98}{3} + \frac{48}{2}$

Step 2.3

Divide $48$ by $2$ .

$\frac{98}{3} + 24$

Step 3

To write $24$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{98}{3} + 24 \cdot \frac{3}{3}$

Step 4

Combine $24$ and $\frac{3}{3}$ .

$\frac{98}{3} + \frac{24 \cdot 3}{3}$

Step 5

Combine the numerators over the common denominator.

$\frac{98 + 24 \cdot 3}{3}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $24$ by $3$ .

$\frac{98 + 72}{3}$

Step 6.2

Add $98$ and $72$ .

$\frac{170}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{170}{3}$

Decimal Form:

$56.\overline{6}$

Mixed Number Form:

$56 \frac{2}{3}$