Solve 1.38/1340.4/25.02*1000

$$\frac{ \frac{ 1.38 }{ 134 } 0.4 }{ 25.02 } \times 1000$$

Evaluate

$$\frac{4600}{27939}\approx 0.164644404$$

Solution Steps

Expand \frac{1.38}{134} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{138}{13400}\times 0.4}{25.02}\times 1000$$

Reduce the fraction \frac{138}{13400} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{69}{6700}\times 0.4}{25.02}\times 1000$$

Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{69}{6700}\times \frac{2}{5}}{25.02}\times 1000$$

Multiply \frac{69}{6700} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{69\times 2}{6700\times 5}}{25.02}\times 1000$$

Do the multiplications in the fraction \frac{69\times 2}{6700\times 5}.

$$\frac{\frac{138}{33500}}{25.02}\times 1000$$

Reduce the fraction \frac{138}{33500} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{69}{16750}}{25.02}\times 1000$$

Express \frac{\frac{69}{16750}}{25.02} as a single fraction.

$$\frac{69}{16750\times 25.02}\times 1000$$

Multiply 16750 and 25.02 to get 419085.

$$\frac{69}{419085}\times 1000$$

Reduce the fraction \frac{69}{419085} to lowest terms by extracting and canceling out 3.

$$\frac{23}{139695}\times 1000$$

Express \frac{23}{139695}\times 1000 as a single fraction.

$$\frac{23\times 1000}{139695}$$

Multiply 23 and 1000 to get 23000.

$$\frac{23000}{139695}$$

Reduce the fraction \frac{23000}{139695} to lowest terms by extracting and canceling out 5.

$$\frac{4600}{27939}$$

Factor

$$\frac{23 \cdot 2 ^ {3} \cdot 5 ^ {2}}{3 \cdot 67 \cdot 139} = 0.16464440387988116$$