Evaluate 36 11/24+7/24

$36 \frac{11}{24} + \frac{7}{24}$

Convert $36 \frac{11}{24}$ to an improper fraction.

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

$36 + \frac{11}{24} + \frac{7}{24}$

Add $36$ and $\frac{11}{24}$ .

To write $36$ as a fraction with a common denominator, multiply by $\frac{24}{24}$ .

$36 \cdot \frac{24}{24} + \frac{11}{24} + \frac{7}{24}$

Combine $36$ and $\frac{24}{24}$ .

$\frac{36 \cdot 24}{24} + \frac{11}{24} + \frac{7}{24}$

Combine the numerators over the common denominator.

$\frac{36 \cdot 24 + 11}{24} + \frac{7}{24}$

Simplify the numerator.

Multiply $36$ by $24$ .

$\frac{864 + 11}{24} + \frac{7}{24}$

Add $864$ and $11$ .

$\frac{875}{24} + \frac{7}{24}$

Combine the numerators over the common denominator.

$\frac{875 + 7}{24}$

Add $875$ and $7$ .

$\frac{882}{24}$

Cancel the common factor of $882$ and $24$ .

Factor $6$ out of $882$ .

$\frac{6 (147)}{24}$

Cancel the common factors.

Factor $6$ out of $24$ .

$\frac{6 \cdot 147}{6 \cdot 4}$

Cancel the common factor.

$\frac{6 \cdot 147}{6 \cdot 4}$

Rewrite the expression.

$\frac{147}{4}$

The result can be shown in multiple forms.

Exact Form:

$\frac{147}{4}$

Decimal Form:

$36.75$

Mixed Number Form:

$36 \frac{3}{4}$