Solve 43/4-5/6-2.5

$$4 \frac { 3 } { 4 } - \frac { 5 } { 6 } - 2.5$$

Evaluate

$$\frac{17}{12}\approx 1.416666667$$

Solution Steps

Multiply 4 and 4 to get 16.

$$\frac{16+3}{4}-\frac{5}{6}-2.5$$

Add 16 and 3 to get 19.

$$\frac{19}{4}-\frac{5}{6}-2.5$$

Least common multiple of 4 and 6 is 12. Convert \frac{19}{4} and \frac{5}{6} to fractions with denominator 12.

$$\frac{57}{12}-\frac{10}{12}-2.5$$

Since \frac{57}{12} and \frac{10}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{57-10}{12}-2.5$$

Subtract 10 from 57 to get 47.

$$\frac{47}{12}-2.5$$

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{47}{12}-\frac{5}{2}$$

Least common multiple of 12 and 2 is 12. Convert \frac{47}{12} and \frac{5}{2} to fractions with denominator 12.

$$\frac{47}{12}-\frac{30}{12}$$

Since \frac{47}{12} and \frac{30}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{47-30}{12}$$

Subtract 30 from 47 to get 17.

$$\frac{17}{12}$$

Factor

$$\frac{17}{3 \cdot 2 ^ {2}} = 1\frac{5}{12} = 1.4166666666666667$$