Solve (1-(750/1130))((220/19)-2.44)

$$(1-( \frac{ 750 }{ 1130 } ))(( \frac{ 220 }{ 19 } )-2.44)$$

Evaluate

$$\frac{8682}{2825}\approx 3.073274336$$

Solution Steps

Reduce the fraction \frac{750}{1130} to lowest terms by extracting and canceling out 10.

$$\left(1-\frac{75}{113}\right)\left(\frac{220}{19}-2.44\right)$$

Convert 1 to fraction \frac{113}{113}.

$$\left(\frac{113}{113}-\frac{75}{113}\right)\left(\frac{220}{19}-2.44\right)$$

Since \frac{113}{113} and \frac{75}{113} have the same denominator, subtract them by subtracting their numerators.

$$\frac{113-75}{113}\left(\frac{220}{19}-2.44\right)$$

Subtract 75 from 113 to get 38.

$$\frac{38}{113}\left(\frac{220}{19}-2.44\right)$$

Convert decimal number 2.44 to fraction \frac{244}{100}. Reduce the fraction \frac{244}{100} to lowest terms by extracting and canceling out 4.

$$\frac{38}{113}\left(\frac{220}{19}-\frac{61}{25}\right)$$

Least common multiple of 19 and 25 is 475. Convert \frac{220}{19} and \frac{61}{25} to fractions with denominator 475.

$$\frac{38}{113}\left(\frac{5500}{475}-\frac{1159}{475}\right)$$

Since \frac{5500}{475} and \frac{1159}{475} have the same denominator, subtract them by subtracting their numerators.

$$\frac{38}{113}\times \frac{5500-1159}{475}$$

Subtract 1159 from 5500 to get 4341.

$$\frac{38}{113}\times \frac{4341}{475}$$

Multiply \frac{38}{113} times \frac{4341}{475} by multiplying numerator times numerator and denominator times denominator.

$$\frac{38\times 4341}{113\times 475}$$

Do the multiplications in the fraction \frac{38\times 4341}{113\times 475}.

$$\frac{164958}{53675}$$

Reduce the fraction \frac{164958}{53675} to lowest terms by extracting and canceling out 19.

$$\frac{8682}{2825}$$

Factor

$$\frac{2 \cdot 3 \cdot 1447}{113 \cdot 5 ^ {2}} = 3\frac{207}{2825} = 3.073274336283186$$