Solve (1000/760+1)*1.1013*10^5*1*28/1000*8.3143*293.15

$$\frac { ( \frac { 1000 } { 760 } + 1 ) \times 1.1013 \times 10 ^ { 5 } \times 1 \times 28 } { 1000 \times 8.3143 \times 293.15 }$$

Evaluate

$$\frac{2466912000}{841989161}\approx 2.929861944$$

Solution Steps

Reduce the fraction \frac{1000}{760} to lowest terms by extracting and canceling out 40.

$$\frac{\left(\frac{25}{19}+1\right)\times 1.1013\times 10^{5}\times 1\times 28}{1000\times 8.3143\times 293.15}$$

Convert 1 to fraction \frac{19}{19}.

$$\frac{\left(\frac{25}{19}+\frac{19}{19}\right)\times 1.1013\times 10^{5}\times 1\times 28}{1000\times 8.3143\times 293.15}$$

Since \frac{25}{19} and \frac{19}{19} have the same denominator, add them by adding their numerators.

$$\frac{\frac{25+19}{19}\times 1.1013\times 10^{5}\times 1\times 28}{1000\times 8.3143\times 293.15}$$

Add 25 and 19 to get 44.

$$\frac{\frac{44}{19}\times 1.1013\times 10^{5}\times 1\times 28}{1000\times 8.3143\times 293.15}$$

Convert decimal number 1.1013 to fraction \frac{11013}{10000}.

$$\frac{\frac{44}{19}\times \frac{11013}{10000}\times 10^{5}\times 1\times 28}{1000\times 8.3143\times 293.15}$$

Multiply \frac{44}{19} times \frac{11013}{10000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{44\times 11013}{19\times 10000}\times 10^{5}\times 1\times 28}{1000\times 8.3143\times 293.15}$$

Do the multiplications in the fraction \frac{44\times 11013}{19\times 10000}.

$$\frac{\frac{484572}{190000}\times 10^{5}\times 1\times 28}{1000\times 8.3143\times 293.15}$$

Reduce the fraction \frac{484572}{190000} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{121143}{47500}\times 10^{5}\times 1\times 28}{1000\times 8.3143\times 293.15}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{\frac{121143}{47500}\times 100000\times 1\times 28}{1000\times 8.3143\times 293.15}$$

Express \frac{121143}{47500}\times 100000 as a single fraction.

$$\frac{\frac{121143\times 100000}{47500}\times 1\times 28}{1000\times 8.3143\times 293.15}$$

Multiply 121143 and 100000 to get 12114300000.

$$\frac{\frac{12114300000}{47500}\times 1\times 28}{1000\times 8.3143\times 293.15}$$

Reduce the fraction \frac{12114300000}{47500} to lowest terms by extracting and canceling out 2500.

$$\frac{\frac{4845720}{19}\times 1\times 28}{1000\times 8.3143\times 293.15}$$

Multiply \frac{4845720}{19} and 1 to get \frac{4845720}{19}.

$$\frac{\frac{4845720}{19}\times 28}{1000\times 8.3143\times 293.15}$$

Express \frac{4845720}{19}\times 28 as a single fraction.

$$\frac{\frac{4845720\times 28}{19}}{1000\times 8.3143\times 293.15}$$

Multiply 4845720 and 28 to get 135680160.

$$\frac{\frac{135680160}{19}}{1000\times 8.3143\times 293.15}$$

Multiply 1000 and 8.3143 to get 8314.3.

$$\frac{\frac{135680160}{19}}{8314.3\times 293.15}$$

Multiply 8314.3 and 293.15 to get 2437337.045.

$$\frac{\frac{135680160}{19}}{2437337.045}$$

Express \frac{\frac{135680160}{19}}{2437337.045} as a single fraction.

$$\frac{135680160}{19\times 2437337.045}$$

Multiply 19 and 2437337.045 to get 46309403.855.

$$\frac{135680160}{46309403.855}$$

Expand \frac{135680160}{46309403.855} by multiplying both numerator and the denominator by 1000.

$$\frac{135680160000}{46309403855}$$

Reduce the fraction \frac{135680160000}{46309403855} to lowest terms by extracting and canceling out 55.

$$\frac{2466912000}{841989161}$$

Factor

$$\frac{3 \cdot 7 \cdot 3671 \cdot 2 ^ {8} \cdot 5 ^ {3}}{13 \cdot 19 \cdot 29 \cdot 41 \cdot 47 \cdot 61} = 2\frac{782933678}{841989161} = 2.929861943911651$$