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Solve the equation.

(1)/(8)+c=(4)/(5)

c=

Solve the equation.\newline18+c=45 \frac{1}{8}+c=\frac{4}{5} \newlinec= c=

Full solution

Q. Solve the equation.\newline18+c=45 \frac{1}{8}+c=\frac{4}{5} \newlinec= c=
  1. Isolate the variable c: Isolate the variable cc on one side of the equation.\newlineTo do this, we need to subtract 18\frac{1}{8} from both sides of the equation.\newline18+c18=4518\frac{1}{8} + c - \frac{1}{8} = \frac{4}{5} - \frac{1}{8}\newlinec=4518c = \frac{4}{5} - \frac{1}{8}
  2. Find a common denominator: Find a common denominator for the fractions to subtract them.\newlineThe common denominator for 55 and 88 is 4040.\newlinec=(45)(88)(18)(55)c = \left(\frac{4}{5}\right) \cdot \left(\frac{8}{8}\right) - \left(\frac{1}{8}\right) \cdot \left(\frac{5}{5}\right)\newlinec=(3240)(540)c = \left(\frac{32}{40}\right) - \left(\frac{5}{40}\right)
  3. Subtract the fractions: Subtract the fractions.\newlineNow that we have a common denominator, we can subtract the numerators.\newlinec = 3240\frac{32}{40} - 540\frac{5}{40}\newlinec = 32540\frac{32 - 5}{40}\newlinec = 2740\frac{27}{40}

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