Solve 5.73-28/17+3.27-19/17

$$5.73 - 2 \frac { 8 } { 17 } + 3.27 - 1 \frac { 9 } { 17 }$$

Evaluate

$$5$$

Solution Steps

Multiply 2 and 17 to get 34.

$$5.73-\frac{34+8}{17}+3.27-\frac{1\times 17+9}{17}$$

Add 34 and 8 to get 42.

$$5.73-\frac{42}{17}+3.27-\frac{1\times 17+9}{17}$$

Convert decimal number 5.73 to fraction \frac{573}{100}.

$$\frac{573}{100}-\frac{42}{17}+3.27-\frac{1\times 17+9}{17}$$

Least common multiple of 100 and 17 is 1700. Convert \frac{573}{100} and \frac{42}{17} to fractions with denominator 1700.

$$\frac{9741}{1700}-\frac{4200}{1700}+3.27-\frac{1\times 17+9}{17}$$

Since \frac{9741}{1700} and \frac{4200}{1700} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9741-4200}{1700}+3.27-\frac{1\times 17+9}{17}$$

Subtract 4200 from 9741 to get 5541.

$$\frac{5541}{1700}+3.27-\frac{1\times 17+9}{17}$$

Convert decimal number 3.27 to fraction \frac{327}{100}.

$$\frac{5541}{1700}+\frac{327}{100}-\frac{1\times 17+9}{17}$$

Least common multiple of 1700 and 100 is 1700. Convert \frac{5541}{1700} and \frac{327}{100} to fractions with denominator 1700.

$$\frac{5541}{1700}+\frac{5559}{1700}-\frac{1\times 17+9}{17}$$

Since \frac{5541}{1700} and \frac{5559}{1700} have the same denominator, add them by adding their numerators.

$$\frac{5541+5559}{1700}-\frac{1\times 17+9}{17}$$

Add 5541 and 5559 to get 11100.

$$\frac{11100}{1700}-\frac{1\times 17+9}{17}$$

Reduce the fraction \frac{11100}{1700} to lowest terms by extracting and canceling out 100.

$$\frac{111}{17}-\frac{1\times 17+9}{17}$$

Multiply 1 and 17 to get 17.

$$\frac{111}{17}-\frac{17+9}{17}$$

Add 17 and 9 to get 26.

$$\frac{111}{17}-\frac{26}{17}$$

Since \frac{111}{17} and \frac{26}{17} have the same denominator, subtract them by subtracting their numerators.

$$\frac{111-26}{17}$$

Subtract 26 from 111 to get 85.

$$\frac{85}{17}$$

Divide 85 by 17 to get 5.

$$5$$

Factor

$$5$$