Solve +(8/6a)(25/16b)

$$+ ( \frac { 8 } { 6 } a ) ( \frac { 25 } { 16 } b )$$

Evaluate

$$\frac{25ab}{12}$$

Solution Steps

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$\frac{4}{3}a\times \frac{25}{16}b$$

Multiply \frac{4}{3} times \frac{25}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 25}{3\times 16}ab$$

Do the multiplications in the fraction \frac{4\times 25}{3\times 16}.

$$\frac{100}{48}ab$$

Reduce the fraction \frac{100}{48} to lowest terms by extracting and canceling out 4.

$$\frac{25}{12}ab$$

Differentiate w.r.t. a

$$\frac{25b}{12}$$