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Perform the operation and simplify the answer fully.

(2)/(7)*(5)/(7)
Answer:

Perform the operation and simplify the answer fully.\newline2757 \frac{2}{7} \cdot \frac{5}{7} \newlineAnswer:

Full solution

Q. Perform the operation and simplify the answer fully.\newline2757 \frac{2}{7} \cdot \frac{5}{7} \newlineAnswer:
  1. Identify Operation: Identify the operation to be performed.\newlineWe need to multiply two fractions: (27)(\frac{2}{7}) and (57)(\frac{5}{7}).
  2. Multiply Numerators: Multiply the numerators.\newlineMultiply the numerators (top numbers) of the fractions: 2×5=102 \times 5 = 10.
  3. Multiply Denominators: Multiply the denominators.\newlineMultiply the denominators (bottom numbers) of the fractions: 7×7=497 \times 7 = 49.
  4. Write Result as Fraction: Write the result as a fraction. Combine the results of Step 22 and Step 33 to form a new fraction: 1049.\frac{10}{49}.
  5. Check for Simplification: Check if the fraction can be simplified.\newlineThe fraction 1049\frac{10}{49} cannot be simplified further because 1010 and 4949 have no common factors other than 11.

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