Solve 0.3(23.90:28-18.81+5.88)

$$0.3 ( 23.90 : 28 - 18.81 + 5.88 )$$

Evaluate

$$-\frac{50721}{14000}\approx -3.622928571$$

Solution Steps

Expand \frac{23.9}{28} by multiplying both numerator and the denominator by 10.

$$0.3\left(\frac{239}{280}-18.81+5.88\right)$$

Convert decimal number 18.81 to fraction \frac{1881}{100}.

$$0.3\left(\frac{239}{280}-\frac{1881}{100}+5.88\right)$$

Least common multiple of 280 and 100 is 1400. Convert \frac{239}{280} and \frac{1881}{100} to fractions with denominator 1400.

$$0.3\left(\frac{1195}{1400}-\frac{26334}{1400}+5.88\right)$$

Since \frac{1195}{1400} and \frac{26334}{1400} have the same denominator, subtract them by subtracting their numerators.

$$0.3\left(\frac{1195-26334}{1400}+5.88\right)$$

Subtract 26334 from 1195 to get -25139.

$$0.3\left(-\frac{25139}{1400}+5.88\right)$$

Convert decimal number 5.88 to fraction \frac{588}{100}. Reduce the fraction \frac{588}{100} to lowest terms by extracting and canceling out 4.

$$0.3\left(-\frac{25139}{1400}+\frac{147}{25}\right)$$

Least common multiple of 1400 and 25 is 1400. Convert -\frac{25139}{1400} and \frac{147}{25} to fractions with denominator 1400.

$$0.3\left(-\frac{25139}{1400}+\frac{8232}{1400}\right)$$

Since -\frac{25139}{1400} and \frac{8232}{1400} have the same denominator, add them by adding their numerators.

$$0.3\times \frac{-25139+8232}{1400}$$

Add -25139 and 8232 to get -16907.

$$0.3\left(-\frac{16907}{1400}\right)$$

Convert decimal number 0.3 to fraction \frac{3}{10}.

$$\frac{3}{10}\left(-\frac{16907}{1400}\right)$$

Multiply \frac{3}{10} times -\frac{16907}{1400} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\left(-16907\right)}{10\times 1400}$$

Do the multiplications in the fraction \frac{3\left(-16907\right)}{10\times 1400}.

$$\frac{-50721}{14000}$$

Fraction \frac{-50721}{14000} can be rewritten as -\frac{50721}{14000} by extracting the negative sign.

$$-\frac{50721}{14000}$$

Factor

$$-\frac{50721}{14000} = -3\frac{8721}{14000} = -3.6229285714285715$$