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Perform the operation and simplify the answer fully.

(3)/(5)*(5)/(4)
Answer:

Perform the operation and simplify the answer fully.\newline3554 \frac{3}{5} \cdot \frac{5}{4} \newlineAnswer:

Full solution

Q. Perform the operation and simplify the answer fully.\newline3554 \frac{3}{5} \cdot \frac{5}{4} \newlineAnswer:
  1. Multiply Numerators: Multiply the numerators together.\newlineWe have two fractions, (35)(\frac{3}{5}) and (54)(\frac{5}{4}). To multiply these fractions, we multiply the numerators (the top numbers) together.\newline3×5=153 \times 5 = 15
  2. Multiply Denominators: Multiply the denominators together. Similarly, we multiply the denominators (the bottom numbers) together. 5×4=205 \times 4 = 20
  3. Write Result as Fraction: Write the result as a fraction.\newlineThe result of the multiplication is the numerator from Step 11 over the denominator from Step 22.\newline1520\frac{15}{20}
  4. Simplify Fraction: Simplify the fraction.\newlineWe can simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator and dividing both by that number. The GCD of 1515 and 2020 is 55.\newline15÷5=315 \div 5 = 3\newline20÷5=420 \div 5 = 4\newlineSo, the simplified fraction is 34\frac{3}{4}.

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