Solve k-273/373-273=225-492/672-492

$$\frac { k - 273 } { 373 - 273 } = \frac { 225 - 492 } { 672 - 492 }$$

Solve for k

$$k = \frac{374}{3} = 124\frac{2}{3} \approx 124.666666667$$

Steps for Solving Linear Equation

Subtract 273 from 373 to get 100.

$$\frac{k-273}{100}=\frac{225-492}{672-492}$$

Subtract 492 from 225 to get -267.

$$\frac{k-273}{100}=\frac{-267}{672-492}$$

Subtract 492 from 672 to get 180.

$$\frac{k-273}{100}=\frac{-267}{180}$$

Reduce the fraction \frac{-267}{180} to lowest terms by extracting and canceling out 3.

$$\frac{k-273}{100}=-\frac{89}{60}$$

Divide each term of k-273 by 100 to get \frac{1}{100}k-\frac{273}{100}.

$$\frac{1}{100}k-\frac{273}{100}=-\frac{89}{60}$$

Add \frac{273}{100} to both sides.

$$\frac{1}{100}k=-\frac{89}{60}+\frac{273}{100}$$

Least common multiple of 60 and 100 is 300. Convert -\frac{89}{60} and \frac{273}{100} to fractions with denominator 300.

$$\frac{1}{100}k=-\frac{445}{300}+\frac{819}{300}$$

Since -\frac{445}{300} and \frac{819}{300} have the same denominator, add them by adding their numerators.

$$\frac{1}{100}k=\frac{-445+819}{300}$$

Add -445 and 819 to get 374.

$$\frac{1}{100}k=\frac{374}{300}$$

Reduce the fraction \frac{374}{300} to lowest terms by extracting and canceling out 2.

$$\frac{1}{100}k=\frac{187}{150}$$

Multiply both sides by 100, the reciprocal of \frac{1}{100}.

$$k=\frac{187}{150}\times 100$$

Express \frac{187}{150}\times 100 as a single fraction.

$$k=\frac{187\times 100}{150}$$

Multiply 187 and 100 to get 18700.

$$k=\frac{18700}{150}$$

Reduce the fraction \frac{18700}{150} to lowest terms by extracting and canceling out 50.

$$k=\frac{374}{3}$$