Solve -8.68-4.6*10.4/6.4

$$-8.68- \frac{ 4.6 \cdot 10.4 }{ 6.4 }$$

Evaluate

$$-16.155$$

Solution Steps

Multiply 4.6 and 10.4 to get 47.84.

$$-8.68-\frac{47.84}{6.4}$$

Expand \frac{47.84}{6.4} by multiplying both numerator and the denominator by 100.

$$-8.68-\frac{4784}{640}$$

Reduce the fraction \frac{4784}{640} to lowest terms by extracting and canceling out 16.

$$-8.68-\frac{299}{40}$$

Convert decimal number -8.68 to fraction -\frac{868}{100}. Reduce the fraction -\frac{868}{100} to lowest terms by extracting and canceling out 4.

$$-\frac{217}{25}-\frac{299}{40}$$

Least common multiple of 25 and 40 is 200. Convert -\frac{217}{25} and \frac{299}{40} to fractions with denominator 200.

$$-\frac{1736}{200}-\frac{1495}{200}$$

Since -\frac{1736}{200} and \frac{1495}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1736-1495}{200}$$

Subtract 1495 from -1736 to get -3231.

$$-\frac{3231}{200}$$

Factor

$$-16.155$$