Solve 1/34quadtext{e}12/160quadtext{h}8/12

$$\frac { 1 } { 34 } \quad \text { e } \frac { 12 } { 160 } \quad \text { h } \frac { 8 } { 12 }$$

Evaluate

$$\frac{eh}{680}$$

Solution Steps

Reduce the fraction \frac{12}{160} to lowest terms by extracting and canceling out 4.

$$\frac{1}{34}e\times \frac{3}{40}h\times \frac{8}{12}$$

Multiply \frac{1}{34} times \frac{3}{40} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 3}{34\times 40}eh\times \frac{8}{12}$$

Do the multiplications in the fraction \frac{1\times 3}{34\times 40}.

$$\frac{3}{1360}eh\times \frac{8}{12}$$

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

$$\frac{3}{1360}eh\times \frac{2}{3}$$

Multiply \frac{3}{1360} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 2}{1360\times 3}eh$$

Cancel out 3 in both numerator and denominator.

$$\frac{2}{1360}eh$$

Reduce the fraction \frac{2}{1360} to lowest terms by extracting and canceling out 2.

$$\frac{1}{680}eh$$

Differentiate w.r.t. h

$$\frac{e}{680}$$