Solve 2.2*1/24*1433.5

$$2.2 \times \frac{ 1 }{ 24 } \times 1433.5$$

Evaluate

$$\frac{31537}{240}\approx 131.404166667$$

Solution Steps

Convert decimal number 2.2 to fraction \frac{22}{10}. Reduce the fraction \frac{22}{10} to lowest terms by extracting and canceling out 2.

$$\frac{11}{5}\times \frac{1}{24}\times 1433.5$$

Multiply \frac{11}{5} times \frac{1}{24} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 1}{5\times 24}\times 1433.5$$

Do the multiplications in the fraction \frac{11\times 1}{5\times 24}.

$$\frac{11}{120}\times 1433.5$$

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.

$$\frac{11}{120}\times \frac{2867}{2}$$

Multiply \frac{11}{120} times \frac{2867}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 2867}{120\times 2}$$

Do the multiplications in the fraction \frac{11\times 2867}{120\times 2}.

$$\frac{31537}{240}$$

Factor

$$\frac{11 \cdot 47 \cdot 61}{3 \cdot 5 \cdot 2 ^ {4}} = 131\frac{97}{240} = 131.40416666666667$$