Solve 549[(1+0.0425/28)^27-1]/frac{0.0425{28}}

$$\frac { 549 [ ( 1 + \frac { 0.0425 } { 28 } ) ^ { 27 } - 1 ] } { \frac { 0.0425 } { 28 } }$$

Evaluate

$$\frac{28787109898855973691478679382674797253165935481957225193477205575263974026962184177307367838102057818020898181}{1904007213543980376517112724429961042859674163835043840000000000000000000000000000000000000000000000000000}\approx 15119.223127981$$

Solution Steps

Expand \frac{0.0425}{28} by multiplying both numerator and the denominator by 10000.

$$\frac{549\left(\left(1+\frac{425}{280000}\right)^{27}-1\right)}{\frac{0.0425}{28}}$$

Reduce the fraction \frac{425}{280000} to lowest terms by extracting and canceling out 25.

$$\frac{549\left(\left(1+\frac{17}{11200}\right)^{27}-1\right)}{\frac{0.0425}{28}}$$

Add 1 and \frac{17}{11200} to get \frac{11217}{11200}.

$$\frac{549\left(\left(\frac{11217}{11200}\right)^{27}-1\right)}{\frac{0.0425}{28}}$$

Calculate \frac{11217}{11200} to the power of 27 and get \frac{22216284923351144065361676264991650298068097271005811278107673032385223239450559437184381153456712172871321073}{21324880791692580216991662513615563680028350634952491008000000000000000000000000000000000000000000000000000000}.

$$\frac{549\left(\frac{22216284923351144065361676264991650298068097271005811278107673032385223239450559437184381153456712172871321073}{21324880791692580216991662513615563680028350634952491008000000000000000000000000000000000000000000000000000000}-1\right)}{\frac{0.0425}{28}}$$

Subtract 1 from \frac{22216284923351144065361676264991650298068097271005811278107673032385223239450559437184381153456712172871321073}{21324880791692580216991662513615563680028350634952491008000000000000000000000000000000000000000000000000000000} to get \frac{891404131658563848370013751376086618039746636053320270107673032385223239450559437184381153456712172871321073}{21324880791692580216991662513615563680028350634952491008000000000000000000000000000000000000000000000000000000}.

$$\frac{549\times \frac{891404131658563848370013751376086618039746636053320270107673032385223239450559437184381153456712172871321073}{21324880791692580216991662513615563680028350634952491008000000000000000000000000000000000000000000000000000000}}{\frac{0.0425}{28}}$$

Multiply 549 and \frac{891404131658563848370013751376086618039746636053320270107673032385223239450559437184381153456712172871321073}{21324880791692580216991662513615563680028350634952491008000000000000000000000000000000000000000000000000000000} to get \frac{489380868280551552755137549505471553303820903193272828289112494779487558458357131014225253247734982906355269077}{21324880791692580216991662513615563680028350634952491008000000000000000000000000000000000000000000000000000000}.

$$\frac{\frac{489380868280551552755137549505471553303820903193272828289112494779487558458357131014225253247734982906355269077}{21324880791692580216991662513615563680028350634952491008000000000000000000000000000000000000000000000000000000}}{\frac{0.0425}{28}}$$

Expand \frac{0.0425}{28} by multiplying both numerator and the denominator by 10000.

$$\frac{\frac{489380868280551552755137549505471553303820903193272828289112494779487558458357131014225253247734982906355269077}{21324880791692580216991662513615563680028350634952491008000000000000000000000000000000000000000000000000000000}}{\frac{425}{280000}}$$

Reduce the fraction \frac{425}{280000} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{489380868280551552755137549505471553303820903193272828289112494779487558458357131014225253247734982906355269077}{21324880791692580216991662513615563680028350634952491008000000000000000000000000000000000000000000000000000000}}{\frac{17}{11200}}$$

Divide \frac{489380868280551552755137549505471553303820903193272828289112494779487558458357131014225253247734982906355269077}{21324880791692580216991662513615563680028350634952491008000000000000000000000000000000000000000000000000000000} by \frac{17}{11200} by multiplying \frac{489380868280551552755137549505471553303820903193272828289112494779487558458357131014225253247734982906355269077}{21324880791692580216991662513615563680028350634952491008000000000000000000000000000000000000000000000000000000} by the reciprocal of \frac{17}{11200}.

$$\frac{489380868280551552755137549505471553303820903193272828289112494779487558458357131014225253247734982906355269077}{21324880791692580216991662513615563680028350634952491008000000000000000000000000000000000000000000000000000000}\times \frac{11200}{17}$$

Multiply \frac{489380868280551552755137549505471553303820903193272828289112494779487558458357131014225253247734982906355269077}{21324880791692580216991662513615563680028350634952491008000000000000000000000000000000000000000000000000000000} and \frac{11200}{17} to get \frac{28787109898855973691478679382674797253165935481957225193477205575263974026962184177307367838102057818020898181}{1904007213543980376517112724429961042859674163835043840000000000000000000000000000000000000000000000000000}.

$$\frac{28787109898855973691478679382674797253165935481957225193477205575263974026962184177307367838102057818020898181}{1904007213543980376517112724429961042859674163835043840000000000000000000000000000000000000000000000000000}$$