Solve 2000/(1-0,20*frac{120{36})}

$$\frac { 2000 } { ( 1 - 0,20 \times \frac { 120 } { 36 } ) }$$

Evaluate

$$6000$$

Solution Steps

Reduce the fraction \frac{120}{36} to lowest terms by extracting and canceling out 12.

$$\frac{2000}{1-0,2\times \frac{10}{3}}$$

Convert decimal number 0,2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2000}{1-\frac{1}{5}\times \frac{10}{3}}$$

Multiply \frac{1}{5} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2000}{1-\frac{1\times 10}{5\times 3}}$$

Do the multiplications in the fraction \frac{1\times 10}{5\times 3}.

$$\frac{2000}{1-\frac{10}{15}}$$

Reduce the fraction \frac{10}{15} to lowest terms by extracting and canceling out 5.

$$\frac{2000}{1-\frac{2}{3}}$$

Convert 1 to fraction \frac{3}{3}.

$$\frac{2000}{\frac{3}{3}-\frac{2}{3}}$$

Since \frac{3}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2000}{\frac{3-2}{3}}$$

Subtract 2 from 3 to get 1.

$$\frac{2000}{\frac{1}{3}}$$

Divide 2000 by \frac{1}{3} by multiplying 2000 by the reciprocal of \frac{1}{3}.

$$2000\times 3$$

Multiply 2000 and 3 to get 6000.

$$6000$$

Factor

$$3\times 2^{4}\times 5^{3}$$