Solve 12/20quadtext{b}5/15quadtext{c}quad12/8

$$\frac { 12 } { 20 } \quad \text { b } \frac { 5 } { 15 } \quad \text { c } \quad \frac { 12 } { 8 }$$

Evaluate

$$\frac{3bc}{10}$$

Solution Steps

Reduce the fraction \frac{12}{20} to lowest terms by extracting and canceling out 4.

$$\frac{3}{5}b\times \frac{5}{15}c\times \frac{12}{8}$$

Reduce the fraction \frac{5}{15} to lowest terms by extracting and canceling out 5.

$$\frac{3}{5}b\times \frac{1}{3}c\times \frac{12}{8}$$

Multiply \frac{3}{5} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1}{5\times 3}bc\times \frac{12}{8}$$

Cancel out 3 in both numerator and denominator.

$$\frac{1}{5}bc\times \frac{12}{8}$$

Reduce the fraction \frac{12}{8} to lowest terms by extracting and canceling out 4.

$$\frac{1}{5}bc\times \frac{3}{2}$$

Multiply \frac{1}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 3}{5\times 2}bc$$

Do the multiplications in the fraction \frac{1\times 3}{5\times 2}.

$$\frac{3}{10}bc$$

Differentiate w.r.t. b

$$\frac{3c}{10}$$