Solve 7/20*(b)3.5quad(c)7/50

$$\frac { 7 } { 20 } \cdot ( b ) 3.5 \quad ( c ) \frac { 7 } { 50 }$$

Evaluate

$$\frac{343bc}{2000}$$

Solution Steps

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.

$$\frac{7}{20}b\times \frac{7}{2}c\times \frac{7}{50}$$

Multiply \frac{7}{20} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 7}{20\times 2}bc\times \frac{7}{50}$$

Do the multiplications in the fraction \frac{7\times 7}{20\times 2}.

$$\frac{49}{40}bc\times \frac{7}{50}$$

Multiply \frac{49}{40} times \frac{7}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{49\times 7}{40\times 50}bc$$

Do the multiplications in the fraction \frac{49\times 7}{40\times 50}.

$$\frac{343}{2000}bc$$

Differentiate w.r.t. b

$$\frac{343c}{2000}$$