Solve 3.59*(-4/7)-2.2

$$3.59 \times ( - \frac { 4 } { 7 } ) - 2.2$$

Evaluate

$$-\frac{744}{175}\approx -4.251428571$$

Solution Steps

Convert decimal number 3.59 to fraction \frac{359}{100}.

$$\frac{359}{100}\left(-\frac{4}{7}\right)-2.2$$

Multiply \frac{359}{100} times -\frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{359\left(-4\right)}{100\times 7}-2.2$$

Do the multiplications in the fraction \frac{359\left(-4\right)}{100\times 7}.

$$\frac{-1436}{700}-2.2$$

Reduce the fraction \frac{-1436}{700} to lowest terms by extracting and canceling out 4.

$$-\frac{359}{175}-2.2$$

Convert decimal number 2.2 to fraction \frac{22}{10}. Reduce the fraction \frac{22}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{359}{175}-\frac{11}{5}$$

Least common multiple of 175 and 5 is 175. Convert -\frac{359}{175} and \frac{11}{5} to fractions with denominator 175.

$$-\frac{359}{175}-\frac{385}{175}$$

Since -\frac{359}{175} and \frac{385}{175} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-359-385}{175}$$

Subtract 385 from -359 to get -744.

$$-\frac{744}{175}$$

Factor

$$-\frac{744}{175} = -4\frac{44}{175} = -4.251428571428572$$