Solve 12265+6*72div33-95

$$12265+6 \times 72 \div 33-95$$

Evaluate

$$\frac{134014}{11}\approx 12183.090909091$$

Solution Steps

Multiply 6 and 72 to get 432.

$$12265+\frac{432}{33}-95$$

Reduce the fraction \frac{432}{33} to lowest terms by extracting and canceling out 3.

$$12265+\frac{144}{11}-95$$

Convert 12265 to fraction \frac{134915}{11}.

$$\frac{134915}{11}+\frac{144}{11}-95$$

Since \frac{134915}{11} and \frac{144}{11} have the same denominator, add them by adding their numerators.

$$\frac{134915+144}{11}-95$$

Add 134915 and 144 to get 135059.

$$\frac{135059}{11}-95$$

Convert 95 to fraction \frac{1045}{11}.

$$\frac{135059}{11}-\frac{1045}{11}$$

Since \frac{135059}{11} and \frac{1045}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{135059-1045}{11}$$

Subtract 1045 from 135059 to get 134014.

$$\frac{134014}{11}$$

Factor

$$\frac{2 \cdot 37 \cdot 1811}{11} = 12183\frac{1}{11} = 12183.09090909091$$