Solve 12/16quadtext{(b)}3.5quadtext{(c)}49/50

$$\frac { 12 } { 16 } \quad \text { (b) } 3.5 \quad \text { (c) } \frac { 49 } { 50 }$$

Evaluate

$$\frac{1029bc}{400}$$

Solution Steps

Reduce the fraction \frac{12}{16} to lowest terms by extracting and canceling out 4.

$$\frac{3}{4}b\times 3.5c\times \frac{49}{50}$$

Convert decimal number 3.5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{3}{4}b\times \frac{7}{2}c\times \frac{49}{50}$$

Multiply \frac{3}{4} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 7}{4\times 2}bc\times \frac{49}{50}$$

Do the multiplications in the fraction \frac{3\times 7}{4\times 2}.

$$\frac{21}{8}bc\times \frac{49}{50}$$

Multiply \frac{21}{8} times \frac{49}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21\times 49}{8\times 50}bc$$

Do the multiplications in the fraction \frac{21\times 49}{8\times 50}.

$$\frac{1029}{400}bc$$

Differentiate w.r.t. b

$$\frac{1029c}{400}$$