Solve 8140/630-2321/36=

$$8 \frac { 140 } { 630 } - 2 \frac { 321 } { 36 } =$$

Evaluate

$$-\frac{97}{36}\approx -2.694444444$$

Solution Steps

Multiply 8 and 630 to get 5040.

$$\frac{5040+140}{630}-\frac{2\times 36+321}{36}$$

Add 5040 and 140 to get 5180.

$$\frac{5180}{630}-\frac{2\times 36+321}{36}$$

Reduce the fraction \frac{5180}{630} to lowest terms by extracting and canceling out 70.

$$\frac{74}{9}-\frac{2\times 36+321}{36}$$

Multiply 2 and 36 to get 72.

$$\frac{74}{9}-\frac{72+321}{36}$$

Add 72 and 321 to get 393.

$$\frac{74}{9}-\frac{393}{36}$$

Reduce the fraction \frac{393}{36} to lowest terms by extracting and canceling out 3.

$$\frac{74}{9}-\frac{131}{12}$$

Least common multiple of 9 and 12 is 36. Convert \frac{74}{9} and \frac{131}{12} to fractions with denominator 36.

$$\frac{296}{36}-\frac{393}{36}$$

Since \frac{296}{36} and \frac{393}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{296-393}{36}$$

Subtract 393 from 296 to get -97.

$$-\frac{97}{36}$$

Factor

$$-\frac{97}{36} = -2\frac{25}{36} = -2.6944444444444446$$