Solve 1bar/0,41bar-10m+120/x

$$\frac { 1 b a r } { 0,41 b a r } - \frac { 10 m + 120 } { x }$$

Evaluate

$$-\frac{10m}{x}+\frac{100}{41}-\frac{120}{x}$$

Short Solution Steps

Cancel out abr in both numerator and denominator.

$$\frac{1}{0,41}-\frac{10m+120}{x}$$

Expand \frac{1}{0,41} by multiplying both numerator and the denominator by 100.

$$\frac{100}{41}-\frac{10m+120}{x}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 41 and x is 41x. Multiply \frac{100}{41} times \frac{x}{x}. Multiply \frac{10m+120}{x} times \frac{41}{41}.

$$\frac{100x}{41x}-\frac{41\left(10m+120\right)}{41x}$$

Since \frac{100x}{41x} and \frac{41\left(10m+120\right)}{41x} have the same denominator, subtract them by subtracting their numerators.

$$\frac{100x-41\left(10m+120\right)}{41x}$$

Do the multiplications in 100x-41\left(10m+120\right).

$$\frac{100x-410m-4920}{41x}$$

Expand

$$-\frac{10m}{x}+\frac{100}{41}-\frac{120}{x}$$

Short Solution Steps

Cancel out abr in both numerator and denominator.

$$\frac{1}{0,41}-\frac{10m+120}{x}$$

Expand \frac{1}{0,41} by multiplying both numerator and the denominator by 100.

$$\frac{100}{41}-\frac{10m+120}{x}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 41 and x is 41x. Multiply \frac{100}{41} times \frac{x}{x}. Multiply \frac{10m+120}{x} times \frac{41}{41}.

$$\frac{100x}{41x}-\frac{41\left(10m+120\right)}{41x}$$

Since \frac{100x}{41x} and \frac{41\left(10m+120\right)}{41x} have the same denominator, subtract them by subtracting their numerators.

$$\frac{100x-41\left(10m+120\right)}{41x}$$

Do the multiplications in 100x-41\left(10m+120\right).

$$\frac{100x-410m-4920}{41x}$$