Solve 2.8*1/24*1433.5

$$2.8 \times \frac{ 1 }{ 24 } \times 1433.5$$

Evaluate

$$\frac{20069}{120}\approx 167.241666667$$

Solution Steps

Convert decimal number 2.8 to fraction \frac{28}{10}. Reduce the fraction \frac{28}{10} to lowest terms by extracting and canceling out 2.

$$\frac{14}{5}\times \frac{1}{24}\times 1433.5$$

Multiply \frac{14}{5} times \frac{1}{24} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14\times 1}{5\times 24}\times 1433.5$$

Do the multiplications in the fraction \frac{14\times 1}{5\times 24}.

$$\frac{14}{120}\times 1433.5$$

Reduce the fraction \frac{14}{120} to lowest terms by extracting and canceling out 2.

$$\frac{7}{60}\times 1433.5$$

Convert decimal number 1433.5 to fraction \frac{14335}{10}. Reduce the fraction \frac{14335}{10} to lowest terms by extracting and canceling out 5.

$$\frac{7}{60}\times \frac{2867}{2}$$

Multiply \frac{7}{60} times \frac{2867}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 2867}{60\times 2}$$

Do the multiplications in the fraction \frac{7\times 2867}{60\times 2}.

$$\frac{20069}{120}$$

Factor

$$\frac{7 \cdot 47 \cdot 61}{3 \cdot 5 \cdot 2 ^ {3}} = 167\frac{29}{120} = 167.24166666666667$$