Solve (0,03+0,456+8/25,458)*6

$$( 0,03 + \frac { 0,456 + 8 } { 25,458 } ) \cdot 6$$

Evaluate

$$\frac{460987}{212150}\approx 2,172929531$$

Solution Steps

Add 0,456 and 8 to get 8,456.

$$\left(0,03+\frac{8,456}{25,458}\right)\times 6$$

Expand \frac{8,456}{25,458} by multiplying both numerator and the denominator by 1000.

$$\left(0,03+\frac{8456}{25458}\right)\times 6$$

Reduce the fraction \frac{8456}{25458} to lowest terms by extracting and canceling out 2.

$$\left(0,03+\frac{4228}{12729}\right)\times 6$$

Convert decimal number 0,03 to fraction \frac{3}{100}.

$$\left(\frac{3}{100}+\frac{4228}{12729}\right)\times 6$$

Least common multiple of 100 and 12729 is 1272900. Convert \frac{3}{100} and \frac{4228}{12729} to fractions with denominator 1272900.

$$\left(\frac{38187}{1272900}+\frac{422800}{1272900}\right)\times 6$$

Since \frac{38187}{1272900} and \frac{422800}{1272900} have the same denominator, add them by adding their numerators.

$$\frac{38187+422800}{1272900}\times 6$$

Add 38187 and 422800 to get 460987.

$$\frac{460987}{1272900}\times 6$$

Express \frac{460987}{1272900}\times 6 as a single fraction.

$$\frac{460987\times 6}{1272900}$$

Multiply 460987 and 6 to get 2765922.

$$\frac{2765922}{1272900}$$

Reduce the fraction \frac{2765922}{1272900} to lowest terms by extracting and canceling out 6.

$$\frac{460987}{212150}$$

Factor

$$\frac{460987}{2 \cdot 4243 \cdot 5 ^ {2}} = 2\frac{36687}{212150} = 2.1729295309922225$$