Solve 49/16-5/12

$$4 \frac { 9 } { 16 } - \frac { 5 } { 12 }$$

Evaluate

$$\frac{199}{48}\approx 4.145833333$$

Solution Steps

Multiply 4 and 16 to get 64.

$$\frac{64+9}{16}-\frac{5}{12}$$

Add 64 and 9 to get 73.

$$\frac{73}{16}-\frac{5}{12}$$

Least common multiple of 16 and 12 is 48. Convert \frac{73}{16} and \frac{5}{12} to fractions with denominator 48.

$$\frac{219}{48}-\frac{20}{48}$$

Since \frac{219}{48} and \frac{20}{48} have the same denominator, subtract them by subtracting their numerators.

$$\frac{219-20}{48}$$

Subtract 20 from 219 to get 199.

$$\frac{199}{48}$$

Factor

$$\frac{199}{2 ^ {4} \cdot 3} = 4\frac{7}{48} = 4.145833333333333$$