Solve (2+54000/60000+60000/64000)0,015

$$( 2 + \frac { 54000 } { 60000 } + \frac { 60000 } { 64000 } ) 0,015$$

Evaluate

$$0,0575625$$

Solution Steps

Reduce the fraction \frac{54000}{60000} to lowest terms by extracting and canceling out 6000.

$$\left(2+\frac{9}{10}+\frac{60000}{64000}\right)\times 0,015$$

Convert 2 to fraction \frac{20}{10}.

$$\left(\frac{20}{10}+\frac{9}{10}+\frac{60000}{64000}\right)\times 0,015$$

Since \frac{20}{10} and \frac{9}{10} have the same denominator, add them by adding their numerators.

$$\left(\frac{20+9}{10}+\frac{60000}{64000}\right)\times 0,015$$

Add 20 and 9 to get 29.

$$\left(\frac{29}{10}+\frac{60000}{64000}\right)\times 0,015$$

Reduce the fraction \frac{60000}{64000} to lowest terms by extracting and canceling out 4000.

$$\left(\frac{29}{10}+\frac{15}{16}\right)\times 0,015$$

Least common multiple of 10 and 16 is 80. Convert \frac{29}{10} and \frac{15}{16} to fractions with denominator 80.

$$\left(\frac{232}{80}+\frac{75}{80}\right)\times 0,015$$

Since \frac{232}{80} and \frac{75}{80} have the same denominator, add them by adding their numerators.

$$\frac{232+75}{80}\times 0,015$$

Add 232 and 75 to get 307.

$$\frac{307}{80}\times 0,015$$

Convert decimal number 0,015 to fraction \frac{15}{1000}. Reduce the fraction \frac{15}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{307}{80}\times \frac{3}{200}$$

Multiply \frac{307}{80} times \frac{3}{200} by multiplying numerator times numerator and denominator times denominator.

$$\frac{307\times 3}{80\times 200}$$

Do the multiplications in the fraction \frac{307\times 3}{80\times 200}.

$$\frac{921}{16000}$$

Factor

$$\frac{3 \cdot 307}{2 ^ {7} \cdot 5 ^ {3}} = 0.0575625$$