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Solve for qq.\newlineq+94=4q + \frac{9}{4} = 4\newlineq=____q = \_\_\_\_

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Full solution

Q. Solve for qq.\newlineq+94=4q + \frac{9}{4} = 4\newlineq=____q = \_\_\_\_
  1. Isolate variable qq: Isolate the variable qq by subtracting 94\frac{9}{4} from both sides of the equation.\newlineq+94−94=4−94q + \frac{9}{4} - \frac{9}{4} = 4 - \frac{9}{4}\newlineq=4−94q = 4 - \frac{9}{4}
  2. Convert whole number: Convert the whole number 44 into a fraction with the same denominator as 94\frac{9}{4} to subtract the fractions.\newline4=1644 = \frac{16}{4} (since 4×44=1644 \times \frac{4}{4} = \frac{16}{4})\newlineq=164−94q = \frac{16}{4} - \frac{9}{4}
  3. Subtract fractions: Subtract the fractions.\newlineq=16−94q = \frac{16 - 9}{4}\newlineq=74q = \frac{7}{4}

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