Solve +1224+36/51*26/3-12

$$+ 12 24 + \frac { 36 } { 51 } \times \frac { 26 } { 3 } - 12$$

Evaluate

$$\frac{4796}{17}\approx 282.117647059$$

Solution Steps

Multiply 12 and 24 to get 288.

$$288+\frac{36}{51}\times \frac{26}{3}-12$$

Reduce the fraction \frac{36}{51} to lowest terms by extracting and canceling out 3.

$$288+\frac{12}{17}\times \frac{26}{3}-12$$

Multiply \frac{12}{17} times \frac{26}{3} by multiplying numerator times numerator and denominator times denominator.

$$288+\frac{12\times 26}{17\times 3}-12$$

Do the multiplications in the fraction \frac{12\times 26}{17\times 3}.

$$288+\frac{312}{51}-12$$

Reduce the fraction \frac{312}{51} to lowest terms by extracting and canceling out 3.

$$288+\frac{104}{17}-12$$

Convert 288 to fraction \frac{4896}{17}.

$$\frac{4896}{17}+\frac{104}{17}-12$$

Since \frac{4896}{17} and \frac{104}{17} have the same denominator, add them by adding their numerators.

$$\frac{4896+104}{17}-12$$

Add 4896 and 104 to get 5000.

$$\frac{5000}{17}-12$$

Convert 12 to fraction \frac{204}{17}.

$$\frac{5000}{17}-\frac{204}{17}$$

Since \frac{5000}{17} and \frac{204}{17} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5000-204}{17}$$

Subtract 204 from 5000 to get 4796.

$$\frac{4796}{17}$$

Factor

$$\frac{2 ^ {2} \cdot 11 \cdot 109}{17} = 282\frac{2}{17} = 282.11764705882354$$