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Simplify. Express your answer as a single fraction in simplest form. \newline9cd4−c\frac{9cd}{4} - c

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Add and subtract rational expressionsright chevron icon

Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline9cd4−c\frac{9cd}{4} - c
  1. Rewrite cc as fraction: 9cd4−c\frac{9cd}{4} - c\newlineRewrite cc as a fraction with a common denominator of 44.\newline9cd4−c×44\frac{9cd}{4} - \frac{c \times 4}{4}
  2. Combine fractions: 9cd4−c×44\frac{9cd}{4} - \frac{c \times 4}{4}\newlineCombine the fractions over the common denominator.\newline9cd−4c4\frac{9cd - 4c}{4}
  3. Factor out common factor: (9cd−4c)/4(9cd - 4c)/4\newlineFactor out the common factor cc from the numerator.\newlinec(9d−4)/4c(9d - 4)/4
  4. Simplify expression: c(9d−4)/4c(9d - 4)/4\newlineThe expression is now simplified and in a single fraction.

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