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Perform the operation and simplify the answer fully. (9)/(4)*(8)/(7) Answer:

Perform the operation and simplify the answer fully.\newline94⋅87 \frac{9}{4} \cdot \frac{8}{7} \newlineAnswer:

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Add, subtract, multiply, and divide complex numbersright chevron icon

Full solution

Q. Perform the operation and simplify the answer fully.\newline94⋅87 \frac{9}{4} \cdot \frac{8}{7} \newlineAnswer:
  1. Question prompt: Question prompt: What is the simplified result of the operation (94)×(87)(\frac{9}{4}) \times (\frac{8}{7})?
  2. Multiply numerators: Multiply the numerators (top numbers) of the fractions together.\newlineCalculation: 9×8=729 \times 8 = 72
  3. Multiply denominators: Multiply the denominators (bottom numbers) of the fractions together.\newlineCalculation: 4×7=284 \times 7 = 28
  4. Write new fraction: Write the result of the multiplication as a new fraction.\newlineCalculation: The new fraction is 7228\frac{72}{28}.
  5. Simplify fraction: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.\newlineCalculation: The GCD of 7272 and 2828 is 44.
  6. Divide by GCD: Divide both the numerator and the denominator by the GCD to simplify the fraction.\newlineCalculation: 72÷4=1872 \div 4 = 18 and 28÷4=728 \div 4 = 7.
  7. Write simplified fraction: Write the simplified fraction.\newlineCalculation: The simplified fraction is 187\frac{18}{7}.

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