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

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

Evaluate

$$\frac{8abcd}{16875}$$

Solution Steps

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

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

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

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

Multiply \frac{2}{75} times \frac{4}{15} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{2\times 4}{75\times 15}.

$$\frac{8}{1125}bc\times \frac{a}{15}d$$

Multiply \frac{8}{1125} times \frac{a}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8a}{1125\times 15}bcd$$

Express \frac{8a}{1125\times 15}d as a single fraction.

$$\frac{8ad}{1125\times 15}bc$$

Multiply 1125 and 15 to get 16875.

$$\frac{8ad}{16875}bc$$

Express \frac{8ad}{16875}b as a single fraction.

$$\frac{8adb}{16875}c$$

Express \frac{8adb}{16875}c as a single fraction.

$$\frac{8adbc}{16875}$$

Differentiate w.r.t. b

$$\frac{8acd}{16875}$$