Solve (1/1-2div5/10)*4/9+13/9

$$( \frac{ 1 }{ 1 } -2 \div \frac{ 5 }{ 10 } ) \times \frac{ 4 }{ 9 } + \frac{ 13 }{ 9 }$$

Evaluate

$$\frac{1}{9}\approx 0.111111111$$

Solution Steps

Divide 1 by 1 to get 1.

$$\left(1-\frac{2}{\frac{5}{10}}\right)\times \frac{4}{9}+\frac{13}{9}$$

Divide 2 by \frac{5}{10} by multiplying 2 by the reciprocal of \frac{5}{10}.

$$\left(1-\frac{2\times 10}{5}\right)\times \frac{4}{9}+\frac{13}{9}$$

Multiply 2 and 10 to get 20.

$$\left(1-\frac{20}{5}\right)\times \frac{4}{9}+\frac{13}{9}$$

Divide 20 by 5 to get 4.

$$\left(1-4\right)\times \frac{4}{9}+\frac{13}{9}$$

Subtract 4 from 1 to get -3.

$$-3\times \frac{4}{9}+\frac{13}{9}$$

Express -3\times \frac{4}{9} as a single fraction.

$$\frac{-3\times 4}{9}+\frac{13}{9}$$

Multiply -3 and 4 to get -12.

$$\frac{-12}{9}+\frac{13}{9}$$

Reduce the fraction \frac{-12}{9} to lowest terms by extracting and canceling out 3.

$$-\frac{4}{3}+\frac{13}{9}$$

Least common multiple of 3 and 9 is 9. Convert -\frac{4}{3} and \frac{13}{9} to fractions with denominator 9.

$$-\frac{12}{9}+\frac{13}{9}$$

Since -\frac{12}{9} and \frac{13}{9} have the same denominator, add them by adding their numerators.

$$\frac{-12+13}{9}$$

Add -12 and 13 to get 1.

$$\frac{1}{9}$$

Factor

$$\frac{1}{3 ^ {2}} = 0.1111111111111111$$