Solve 1000*(1-81/100*4/100)

$$1000 \cdot ( 1 - \frac { 81 } { 100 } \cdot \frac { 4 } { 100 } )$$

Evaluate

$$\frac{4838}{5}=967.6$$

Solution Steps

Reduce the fraction \frac{4}{100} to lowest terms by extracting and canceling out 4.

$$1000\left(1-\frac{81}{100}\times \frac{1}{25}\right)$$

Multiply \frac{81}{100} times \frac{1}{25} by multiplying numerator times numerator and denominator times denominator.

$$1000\left(1-\frac{81\times 1}{100\times 25}\right)$$

Do the multiplications in the fraction \frac{81\times 1}{100\times 25}.

$$1000\left(1-\frac{81}{2500}\right)$$

Convert 1 to fraction \frac{2500}{2500}.

$$1000\left(\frac{2500}{2500}-\frac{81}{2500}\right)$$

Since \frac{2500}{2500} and \frac{81}{2500} have the same denominator, subtract them by subtracting their numerators.

$$1000\times \frac{2500-81}{2500}$$

Subtract 81 from 2500 to get 2419.

$$1000\times \frac{2419}{2500}$$

Express 1000\times \frac{2419}{2500} as a single fraction.

$$\frac{1000\times 2419}{2500}$$

Multiply 1000 and 2419 to get 2419000.

$$\frac{2419000}{2500}$$

Reduce the fraction \frac{2419000}{2500} to lowest terms by extracting and canceling out 500.

$$\frac{4838}{5}$$

Factor

$$\frac{2 \cdot 41 \cdot 59}{5} = 967\frac{3}{5} = 967.6$$