Solve -343/27+196/9+245/3-150

$$- \frac{ 343 }{ 27 } + \frac{ 196 }{ 9 } + \frac{ 245 }{ 3 } -150$$

Evaluate

$$-\frac{1600}{27}\approx -59.259259259$$

Solution Steps

Least common multiple of 27 and 9 is 27. Convert -\frac{343}{27} and \frac{196}{9} to fractions with denominator 27.

$$-\frac{343}{27}+\frac{588}{27}+\frac{245}{3}-150$$

Since -\frac{343}{27} and \frac{588}{27} have the same denominator, add them by adding their numerators.

$$\frac{-343+588}{27}+\frac{245}{3}-150$$

Add -343 and 588 to get 245.

$$\frac{245}{27}+\frac{245}{3}-150$$

Least common multiple of 27 and 3 is 27. Convert \frac{245}{27} and \frac{245}{3} to fractions with denominator 27.

$$\frac{245}{27}+\frac{2205}{27}-150$$

Since \frac{245}{27} and \frac{2205}{27} have the same denominator, add them by adding their numerators.

$$\frac{245+2205}{27}-150$$

Add 245 and 2205 to get 2450.

$$\frac{2450}{27}-150$$

Convert 150 to fraction \frac{4050}{27}.

$$\frac{2450}{27}-\frac{4050}{27}$$

Since \frac{2450}{27} and \frac{4050}{27} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2450-4050}{27}$$

Subtract 4050 from 2450 to get -1600.

$$-\frac{1600}{27}$$

Factor

$$-\frac{1600}{27} = -59\frac{7}{27} = -59.25925925925926$$