Solve 45/6+33+10div12/32

$$\frac{ 45 }{ 6 } +33+ \frac{ 10 \div 12 }{ 32 }$$

Evaluate

$$\frac{7781}{192}\approx 40.526041667$$

Solution Steps

Reduce the fraction \frac{45}{6} to lowest terms by extracting and canceling out 3.

$$\frac{15}{2}+33+\frac{\frac{10}{12}}{32}$$

Convert 33 to fraction \frac{66}{2}.

$$\frac{15}{2}+\frac{66}{2}+\frac{\frac{10}{12}}{32}$$

Since \frac{15}{2} and \frac{66}{2} have the same denominator, add them by adding their numerators.

$$\frac{15+66}{2}+\frac{\frac{10}{12}}{32}$$

Add 15 and 66 to get 81.

$$\frac{81}{2}+\frac{\frac{10}{12}}{32}$$

Express \frac{\frac{10}{12}}{32} as a single fraction.

$$\frac{81}{2}+\frac{10}{12\times 32}$$

Multiply 12 and 32 to get 384.

$$\frac{81}{2}+\frac{10}{384}$$

Reduce the fraction \frac{10}{384} to lowest terms by extracting and canceling out 2.

$$\frac{81}{2}+\frac{5}{192}$$

Least common multiple of 2 and 192 is 192. Convert \frac{81}{2} and \frac{5}{192} to fractions with denominator 192.

$$\frac{7776}{192}+\frac{5}{192}$$

Since \frac{7776}{192} and \frac{5}{192} have the same denominator, add them by adding their numerators.

$$\frac{7776+5}{192}$$

Add 7776 and 5 to get 7781.

$$\frac{7781}{192}$$

Factor

$$\frac{31 \cdot 251}{2 ^ {6} \cdot 3} = 40\frac{101}{192} = 40.526041666666664$$