Solve 0.1/3[41.26]

$$\frac { 0.1 } { 3 } [ 41.26 ]$$

Evaluate

$$\frac{2063}{1500}\approx 1.375333333$$

Solution Steps

Expand \frac{0.1}{3} by multiplying both numerator and the denominator by 10.

$$\frac{1}{30}\times 41.26$$

Convert decimal number 41.26 to fraction \frac{4126}{100}. Reduce the fraction \frac{4126}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1}{30}\times \frac{2063}{50}$$

Multiply \frac{1}{30} times \frac{2063}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 2063}{30\times 50}$$

Do the multiplications in the fraction \frac{1\times 2063}{30\times 50}.

$$\frac{2063}{1500}$$

Factor

$$\frac{2063}{3 \cdot 2 ^ {2} \cdot 5 ^ {3}} = 1\frac{563}{1500} = 1.3753333333333333$$