Solve 9.2+10/3*-232/25

$$9.2 + \frac { 10 } { 3 } \times \frac { - 232 } { 25 }$$

Evaluate

$$-\frac{326}{15}\approx -21.733333333$$

Solution Steps

Fraction \frac{-232}{25} can be rewritten as -\frac{232}{25} by extracting the negative sign.

$$9.2+\frac{10}{3}\left(-\frac{232}{25}\right)$$

Multiply \frac{10}{3} times -\frac{232}{25} by multiplying numerator times numerator and denominator times denominator.

$$9.2+\frac{10\left(-232\right)}{3\times 25}$$

Do the multiplications in the fraction \frac{10\left(-232\right)}{3\times 25}.

$$9.2+\frac{-2320}{75}$$

Reduce the fraction \frac{-2320}{75} to lowest terms by extracting and canceling out 5.

$$9.2-\frac{464}{15}$$

Convert decimal number 9.2 to fraction \frac{92}{10}. Reduce the fraction \frac{92}{10} to lowest terms by extracting and canceling out 2.

$$\frac{46}{5}-\frac{464}{15}$$

Least common multiple of 5 and 15 is 15. Convert \frac{46}{5} and \frac{464}{15} to fractions with denominator 15.

$$\frac{138}{15}-\frac{464}{15}$$

Since \frac{138}{15} and \frac{464}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{138-464}{15}$$

Subtract 464 from 138 to get -326.

$$-\frac{326}{15}$$

Factor

$$-\frac{326}{15} = -21\frac{11}{15} = -21.733333333333334$$