Solve x/frac{14{75}}=35/24-7/16

$$\frac{ x }{ \frac{ 14 }{ 75 } } = \frac{ 35 }{ 24 } - \frac{ 7 }{ 16 }$$

Solve for x

$$x=\frac{343}{1800}\approx 0.190555556$$

Steps for Solving Linear Equation

Least common multiple of 24 and 16 is 48. Convert \frac{35}{24} and \frac{7}{16} to fractions with denominator 48.

$$\frac{x}{\frac{14}{75}}=\frac{70}{48}-\frac{21}{48}$$

Since \frac{70}{48} and \frac{21}{48} have the same denominator, subtract them by subtracting their numerators.

$$\frac{x}{\frac{14}{75}}=\frac{70-21}{48}$$

Subtract 21 from 70 to get 49.

$$\frac{x}{\frac{14}{75}}=\frac{49}{48}$$

Multiply both sides by \frac{14}{75}.

$$x=\frac{49}{48}\times \frac{14}{75}$$

Multiply \frac{49}{48} times \frac{14}{75} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{49\times 14}{48\times 75}$$

Do the multiplications in the fraction \frac{49\times 14}{48\times 75}.

$$x=\frac{686}{3600}$$

Reduce the fraction \frac{686}{3600} to lowest terms by extracting and canceling out 2.

$$x=\frac{343}{1800}$$