Solve 2+9*19div20-4*21*4-21div13+13

$$2+9 \times 19 \div 20-4 \times 21 \times 4-21 \div 13+13$$

Evaluate

$$-\frac{81657}{260}\approx -314.065384615$$

Solution Steps

Multiply 9 and 19 to get 171.

$$2+\frac{171}{20}-4\times 21\times 4-\frac{21}{13}+13$$

Convert 2 to fraction \frac{40}{20}.

$$\frac{40}{20}+\frac{171}{20}-4\times 21\times 4-\frac{21}{13}+13$$

Since \frac{40}{20} and \frac{171}{20} have the same denominator, add them by adding their numerators.

$$\frac{40+171}{20}-4\times 21\times 4-\frac{21}{13}+13$$

Add 40 and 171 to get 211.

$$\frac{211}{20}-4\times 21\times 4-\frac{21}{13}+13$$

Multiply 4 and 21 to get 84.

$$\frac{211}{20}-84\times 4-\frac{21}{13}+13$$

Multiply 84 and 4 to get 336.

$$\frac{211}{20}-336-\frac{21}{13}+13$$

Convert 336 to fraction \frac{6720}{20}.

$$\frac{211}{20}-\frac{6720}{20}-\frac{21}{13}+13$$

Since \frac{211}{20} and \frac{6720}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{211-6720}{20}-\frac{21}{13}+13$$

Subtract 6720 from 211 to get -6509.

$$-\frac{6509}{20}-\frac{21}{13}+13$$

Least common multiple of 20 and 13 is 260. Convert -\frac{6509}{20} and \frac{21}{13} to fractions with denominator 260.

$$-\frac{84617}{260}-\frac{420}{260}+13$$

Since -\frac{84617}{260} and \frac{420}{260} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-84617-420}{260}+13$$

Subtract 420 from -84617 to get -85037.

$$-\frac{85037}{260}+13$$

Convert 13 to fraction \frac{3380}{260}.

$$-\frac{85037}{260}+\frac{3380}{260}$$

Since -\frac{85037}{260} and \frac{3380}{260} have the same denominator, add them by adding their numerators.

$$\frac{-85037+3380}{260}$$

Add -85037 and 3380 to get -81657.

$$-\frac{81657}{260}$$

Factor

$$-\frac{81657}{260} = -314\frac{17}{260} = -314.06538461538463$$