Solve 3/0.08:3.8/0.02

$$\frac { 3 } { 0.08 } : \frac { 3.8 } { 0.02 }$$

Evaluate

$$\frac{15}{76}\approx 0.197368421$$

Solution Steps

Divide \frac{3}{0.08} by \frac{3.8}{0.02} by multiplying \frac{3}{0.08} by the reciprocal of \frac{3.8}{0.02}.

$$\frac{3\times 0.02}{0.08\times 3.8}$$

Multiply 3 and 0.02 to get 0.06.

$$\frac{0.06}{0.08\times 3.8}$$

Multiply 0.08 and 3.8 to get 0.304.

$$\frac{0.06}{0.304}$$

Expand \frac{0.06}{0.304} by multiplying both numerator and the denominator by 1000.

$$\frac{60}{304}$$

Reduce the fraction \frac{60}{304} to lowest terms by extracting and canceling out 4.

$$\frac{15}{76}$$

Factor

$$\frac{3 \cdot 5}{19 \cdot 2 ^ {2}} = 0.19736842105263158$$