Solve 0.0075*100/3+1/2*100/3

$$0.0075 \times \frac{ 100 }{ 3 } + \frac{ 1 }{ 2 } \times \frac{ 100 }{ 3 }$$

Evaluate

$$\frac{203}{12}\approx 16.916666667$$

Solution Steps

Convert decimal number 0.0075 to fraction \frac{75}{10000}. Reduce the fraction \frac{75}{10000} to lowest terms by extracting and canceling out 25.

$$\frac{3}{400}\times \frac{100}{3}+\frac{1}{2}\times \frac{100}{3}$$

Multiply \frac{3}{400} times \frac{100}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 100}{400\times 3}+\frac{1}{2}\times \frac{100}{3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{100}{400}+\frac{1}{2}\times \frac{100}{3}$$

Reduce the fraction \frac{100}{400} to lowest terms by extracting and canceling out 100.

$$\frac{1}{4}+\frac{1}{2}\times \frac{100}{3}$$

Multiply \frac{1}{2} times \frac{100}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{4}+\frac{1\times 100}{2\times 3}$$

Do the multiplications in the fraction \frac{1\times 100}{2\times 3}.

$$\frac{1}{4}+\frac{100}{6}$$

Reduce the fraction \frac{100}{6} to lowest terms by extracting and canceling out 2.

$$\frac{1}{4}+\frac{50}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{1}{4} and \frac{50}{3} to fractions with denominator 12.

$$\frac{3}{12}+\frac{200}{12}$$

Since \frac{3}{12} and \frac{200}{12} have the same denominator, add them by adding their numerators.

$$\frac{3+200}{12}$$

Add 3 and 200 to get 203.

$$\frac{203}{12}$$

Factor

$$\frac{7 \cdot 29}{3 \cdot 2 ^ {2}} = 16\frac{11}{12} = 16.916666666666668$$