Solve [1/0.03div1/0.024]^-1

$$[ \frac { 1 } { 0.03 } \div \frac { 1 } { 0.024 } ] ^ { - 1 }$$

Evaluate

$$1.25$$

Solution Steps

Divide \frac{1}{0.03} by \frac{1}{0.024} by multiplying \frac{1}{0.03} by the reciprocal of \frac{1}{0.024}.

$$\left(\frac{0.024}{0.03}\right)^{-1}$$

Expand \frac{0.024}{0.03} by multiplying both numerator and the denominator by 1000.

$$\left(\frac{24}{30}\right)^{-1}$$

Reduce the fraction \frac{24}{30} to lowest terms by extracting and canceling out 6.

$$\left(\frac{4}{5}\right)^{-1}$$

Calculate \frac{4}{5} to the power of -1 and get \frac{5}{4}.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$