Solve 2.4+1/3*3/2-1/3

$$2.4+ \frac{ 1 }{ 3 } \times \frac{ 3 }{ 2 } - \frac{ 1 }{ 3 }$$

Evaluate

$$\frac{77}{30}\approx 2.566666667$$

Solution Steps

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

$$2.4+\frac{1\times 3}{3\times 2}-\frac{1}{3}$$

Cancel out 3 in both numerator and denominator.

$$2.4+\frac{1}{2}-\frac{1}{3}$$

Convert decimal number 2.4 to fraction \frac{24}{10}. Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$\frac{12}{5}+\frac{1}{2}-\frac{1}{3}$$

Least common multiple of 5 and 2 is 10. Convert \frac{12}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{24}{10}+\frac{5}{10}-\frac{1}{3}$$

Since \frac{24}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{24+5}{10}-\frac{1}{3}$$

Add 24 and 5 to get 29.

$$\frac{29}{10}-\frac{1}{3}$$

Least common multiple of 10 and 3 is 30. Convert \frac{29}{10} and \frac{1}{3} to fractions with denominator 30.

$$\frac{87}{30}-\frac{10}{30}$$

Since \frac{87}{30} and \frac{10}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{87-10}{30}$$

Subtract 10 from 87 to get 77.

$$\frac{77}{30}$$

Factor

$$\frac{7 \cdot 11}{2 \cdot 3 \cdot 5} = 2\frac{17}{30} = 2.566666666666667$$