Solve y=7/8132/47-9/2

$$y = \frac{ 7 }{ 8 } \frac{ 132 }{ 47 } - \frac{ 9 }{ 2 }$$

Solve for y

$$y = -\frac{96}{47} = -2\frac{2}{47} \approx -2.042553191$$

Steps for Solving Linear Equation

Multiply \frac{7}{8} times \frac{132}{47} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{7\times 132}{8\times 47}-\frac{9}{2}$$

Do the multiplications in the fraction \frac{7\times 132}{8\times 47}.

$$y=\frac{924}{376}-\frac{9}{2}$$

Reduce the fraction \frac{924}{376} to lowest terms by extracting and canceling out 4.

$$y=\frac{231}{94}-\frac{9}{2}$$

Least common multiple of 94 and 2 is 94. Convert \frac{231}{94} and \frac{9}{2} to fractions with denominator 94.

$$y=\frac{231}{94}-\frac{423}{94}$$

Since \frac{231}{94} and \frac{423}{94} have the same denominator, subtract them by subtracting their numerators.

$$y=\frac{231-423}{94}$$

Subtract 423 from 231 to get -192.

$$y=\frac{-192}{94}$$

Reduce the fraction \frac{-192}{94} to lowest terms by extracting and canceling out 2.

$$y=-\frac{96}{47}$$

Assign y

$$y≔-\frac{96}{47}$$