Solve 1313/53-25/79-135/79-319/79+frac{40}{53}=

$$13 \frac { 13 } { 53 } - \frac { 25 } { 79 } - 1 \frac { 35 } { 79 } - 3 \frac { 19 } { 79 } + \frac { 40 } { 53 } =$$

Evaluate

$$9$$

Solution Steps

Multiply 13 and 53 to get 689.

$$\frac{689+13}{53}-\frac{25}{79}-\frac{1\times 79+35}{79}-\frac{3\times 79+19}{79}+\frac{40}{53}$$

Add 689 and 13 to get 702.

$$\frac{702}{53}-\frac{25}{79}-\frac{1\times 79+35}{79}-\frac{3\times 79+19}{79}+\frac{40}{53}$$

Least common multiple of 53 and 79 is 4187. Convert \frac{702}{53} and \frac{25}{79} to fractions with denominator 4187.

$$\frac{55458}{4187}-\frac{1325}{4187}-\frac{1\times 79+35}{79}-\frac{3\times 79+19}{79}+\frac{40}{53}$$

Since \frac{55458}{4187} and \frac{1325}{4187} have the same denominator, subtract them by subtracting their numerators.

$$\frac{55458-1325}{4187}-\frac{1\times 79+35}{79}-\frac{3\times 79+19}{79}+\frac{40}{53}$$

Subtract 1325 from 55458 to get 54133.

$$\frac{54133}{4187}-\frac{1\times 79+35}{79}-\frac{3\times 79+19}{79}+\frac{40}{53}$$

Multiply 1 and 79 to get 79.

$$\frac{54133}{4187}-\frac{79+35}{79}-\frac{3\times 79+19}{79}+\frac{40}{53}$$

Add 79 and 35 to get 114.

$$\frac{54133}{4187}-\frac{114}{79}-\frac{3\times 79+19}{79}+\frac{40}{53}$$

Least common multiple of 4187 and 79 is 4187. Convert \frac{54133}{4187} and \frac{114}{79} to fractions with denominator 4187.

$$\frac{54133}{4187}-\frac{6042}{4187}-\frac{3\times 79+19}{79}+\frac{40}{53}$$

Since \frac{54133}{4187} and \frac{6042}{4187} have the same denominator, subtract them by subtracting their numerators.

$$\frac{54133-6042}{4187}-\frac{3\times 79+19}{79}+\frac{40}{53}$$

Subtract 6042 from 54133 to get 48091.

$$\frac{48091}{4187}-\frac{3\times 79+19}{79}+\frac{40}{53}$$

Multiply 3 and 79 to get 237.

$$\frac{48091}{4187}-\frac{237+19}{79}+\frac{40}{53}$$

Add 237 and 19 to get 256.

$$\frac{48091}{4187}-\frac{256}{79}+\frac{40}{53}$$

Least common multiple of 4187 and 79 is 4187. Convert \frac{48091}{4187} and \frac{256}{79} to fractions with denominator 4187.

$$\frac{48091}{4187}-\frac{13568}{4187}+\frac{40}{53}$$

Since \frac{48091}{4187} and \frac{13568}{4187} have the same denominator, subtract them by subtracting their numerators.

$$\frac{48091-13568}{4187}+\frac{40}{53}$$

Subtract 13568 from 48091 to get 34523.

$$\frac{34523}{4187}+\frac{40}{53}$$

Reduce the fraction \frac{34523}{4187} to lowest terms by extracting and canceling out 79.

$$\frac{437}{53}+\frac{40}{53}$$

Since \frac{437}{53} and \frac{40}{53} have the same denominator, add them by adding their numerators.

$$\frac{437+40}{53}$$

Add 437 and 40 to get 477.

$$\frac{477}{53}$$

Divide 477 by 53 to get 9.

$$9$$

Factor

$$3^{2}$$