Solve operatorname{c.5}5/6quadd*3/4

$$\operatorname { c.5 } \frac { 5 } { 6 } \quad d \cdot \frac { 3 } { 4 }$$

Evaluate

$$\frac{5cd}{16}$$

Solution Steps

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$c\times \frac{1}{2}\times \frac{5}{6}d\times \frac{3}{4}$$

Multiply \frac{1}{2} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$c\times \frac{1\times 5}{2\times 6}d\times \frac{3}{4}$$

Do the multiplications in the fraction \frac{1\times 5}{2\times 6}.

$$c\times \frac{5}{12}d\times \frac{3}{4}$$

Multiply \frac{5}{12} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$c\times \frac{5\times 3}{12\times 4}d$$

Do the multiplications in the fraction \frac{5\times 3}{12\times 4}.

$$c\times \frac{15}{48}d$$

Reduce the fraction \frac{15}{48} to lowest terms by extracting and canceling out 3.

$$c\times \frac{5}{16}d$$

Differentiate w.r.t. c

$$\frac{5d}{16}$$