Solve (10+15/4)*5/12

$$( 10 + \frac { 15 } { 4 } ) \times \frac { 5 } { 12 }$$

Evaluate

$$\frac{275}{48}\approx 5.729166667$$

Solution Steps

Convert 10 to fraction \frac{40}{4}.

$$\left(\frac{40}{4}+\frac{15}{4}\right)\times \frac{5}{12}$$

Since \frac{40}{4} and \frac{15}{4} have the same denominator, add them by adding their numerators.

$$\frac{40+15}{4}\times \frac{5}{12}$$

Add 40 and 15 to get 55.

$$\frac{55}{4}\times \frac{5}{12}$$

Multiply \frac{55}{4} times \frac{5}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{55\times 5}{4\times 12}$$

Do the multiplications in the fraction \frac{55\times 5}{4\times 12}.

$$\frac{275}{48}$$

Factor

$$\frac{5 ^ {2} \cdot 11}{2 ^ {4} \cdot 3} = 5\frac{35}{48} = 5.729166666666667$$