Solve 184.25*50/30+184.25*50*3=

$$\frac{ 184.25 \times 50 }{ 30 } +184.25 \times 50 \times 3=$$

Evaluate

$$\frac{335335}{12}\approx 27944.583333333$$

Solution Steps

Multiply 184.25 and 50 to get 9212.5.

$$\frac{9212.5}{30}+184.25\times 50\times 3$$

Expand \frac{9212.5}{30} by multiplying both numerator and the denominator by 10.

$$\frac{92125}{300}+184.25\times 50\times 3$$

Reduce the fraction \frac{92125}{300} to lowest terms by extracting and canceling out 25.

$$\frac{3685}{12}+184.25\times 50\times 3$$

Multiply 184.25 and 50 to get 9212.5.

$$\frac{3685}{12}+9212.5\times 3$$

Multiply 9212.5 and 3 to get 27637.5.

$$\frac{3685}{12}+27637.5$$

Convert decimal number 27637.5 to fraction \frac{276375}{10}. Reduce the fraction \frac{276375}{10} to lowest terms by extracting and canceling out 5.

$$\frac{3685}{12}+\frac{55275}{2}$$

Least common multiple of 12 and 2 is 12. Convert \frac{3685}{12} and \frac{55275}{2} to fractions with denominator 12.

$$\frac{3685}{12}+\frac{331650}{12}$$

Since \frac{3685}{12} and \frac{331650}{12} have the same denominator, add them by adding their numerators.

$$\frac{3685+331650}{12}$$

Add 3685 and 331650 to get 335335.

$$\frac{335335}{12}$$

Factor

$$\frac{5 \cdot 7 \cdot 11 \cdot 13 \cdot 67}{3 \cdot 2 ^ {2}} = 27944\frac{7}{12} = 27944.583333333332$$