Solve 75/100+71.4/100+67.9/100+57.1/100

$$\frac{ 75 }{ 100 } + \frac{ 71.4 }{ 100 } + \frac{ 67.9 }{ 100 } + \frac{ 57.1 }{ 100 }$$

Evaluate

$$2.714$$

Solution Steps

Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\frac{3}{4}+\frac{71.4}{100}+\frac{67.9}{100}+\frac{57.1}{100}$$

Expand \frac{71.4}{100} by multiplying both numerator and the denominator by 10.

$$\frac{3}{4}+\frac{714}{1000}+\frac{67.9}{100}+\frac{57.1}{100}$$

Reduce the fraction \frac{714}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{3}{4}+\frac{357}{500}+\frac{67.9}{100}+\frac{57.1}{100}$$

Least common multiple of 4 and 500 is 500. Convert \frac{3}{4} and \frac{357}{500} to fractions with denominator 500.

$$\frac{375}{500}+\frac{357}{500}+\frac{67.9}{100}+\frac{57.1}{100}$$

Since \frac{375}{500} and \frac{357}{500} have the same denominator, add them by adding their numerators.

$$\frac{375+357}{500}+\frac{67.9}{100}+\frac{57.1}{100}$$

Add 375 and 357 to get 732.

$$\frac{732}{500}+\frac{67.9}{100}+\frac{57.1}{100}$$

Reduce the fraction \frac{732}{500} to lowest terms by extracting and canceling out 4.

$$\frac{183}{125}+\frac{67.9}{100}+\frac{57.1}{100}$$

Expand \frac{67.9}{100} by multiplying both numerator and the denominator by 10.

$$\frac{183}{125}+\frac{679}{1000}+\frac{57.1}{100}$$

Least common multiple of 125 and 1000 is 1000. Convert \frac{183}{125} and \frac{679}{1000} to fractions with denominator 1000.

$$\frac{1464}{1000}+\frac{679}{1000}+\frac{57.1}{100}$$

Since \frac{1464}{1000} and \frac{679}{1000} have the same denominator, add them by adding their numerators.

$$\frac{1464+679}{1000}+\frac{57.1}{100}$$

Add 1464 and 679 to get 2143.

$$\frac{2143}{1000}+\frac{57.1}{100}$$

Expand \frac{57.1}{100} by multiplying both numerator and the denominator by 10.

$$\frac{2143}{1000}+\frac{571}{1000}$$

Since \frac{2143}{1000} and \frac{571}{1000} have the same denominator, add them by adding their numerators.

$$\frac{2143+571}{1000}$$

Add 2143 and 571 to get 2714.

$$\frac{2714}{1000}$$

Reduce the fraction \frac{2714}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{1357}{500}$$

Factor

$$\frac{23 \cdot 59}{2 ^ {2} \cdot 5 ^ {3}} = 2\frac{357}{500} = 2.714$$