Solve 1.06/1.04*.4

$$\frac{ 1.06 }{ 1.04 } \times .4$$

Evaluate

$$\frac{53}{130}\approx 0.407692308$$

Solution Steps

Expand \frac{1.06}{1.04} by multiplying both numerator and the denominator by 100.

$$\frac{106}{104}\times 0.4$$

Reduce the fraction \frac{106}{104} to lowest terms by extracting and canceling out 2.

$$\frac{53}{52}\times 0.4$$

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.

$$\frac{53}{52}\times \frac{2}{5}$$

Multiply \frac{53}{52} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{53\times 2}{52\times 5}$$

Do the multiplications in the fraction \frac{53\times 2}{52\times 5}.

$$\frac{106}{260}$$

Reduce the fraction \frac{106}{260} to lowest terms by extracting and canceling out 2.

$$\frac{53}{130}$$

Factor

$$\frac{53}{2 \cdot 5 \cdot 13} = 0.4076923076923077$$