Solve 2/5(b)quad1/15(c)8/15(d)4/15

$$\frac { 2 } { 5 } ( b ) \quad \frac { 1 } { 15 } ( c ) \frac { 8 } { 15 } ( d ) \frac { 4 } { 15 }$$

Evaluate

$$\frac{64bcd}{16875}$$

Solution Steps

Multiply \frac{2}{5} times \frac{1}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 1}{5\times 15}bc\times \frac{8}{15}d\times \frac{4}{15}$$

Do the multiplications in the fraction \frac{2\times 1}{5\times 15}.

$$\frac{2}{75}bc\times \frac{8}{15}d\times \frac{4}{15}$$

Multiply \frac{2}{75} times \frac{8}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 8}{75\times 15}bcd\times \frac{4}{15}$$

Do the multiplications in the fraction \frac{2\times 8}{75\times 15}.

$$\frac{16}{1125}bcd\times \frac{4}{15}$$

Multiply \frac{16}{1125} times \frac{4}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 4}{1125\times 15}bcd$$

Do the multiplications in the fraction \frac{16\times 4}{1125\times 15}.

$$\frac{64}{16875}bcd$$

Differentiate w.r.t. b

$$\frac{64cd}{16875}$$