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Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.

(9)/(10)×(1)/(3)
Answer:

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline910×13 \frac{9}{10} \times \frac{1}{3} \newlineAnswer:

Full solution

Q. Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline910×13 \frac{9}{10} \times \frac{1}{3} \newlineAnswer:
  1. Multiply Numerators: Multiply the numerators of the two fractions. 9×1=99 \times 1 = 9
  2. Multiply Denominators: Multiply the denominators of the two fractions. 10×3=3010 \times 3 = 30
  3. Write Result as Fraction: Write the result of the multiplication as a fraction. 930\frac{9}{30}
  4. Simplify Fraction with GCD: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.\newlineThe GCD of 99 and 3030 is 33.
  5. Divide by GCD to Simplify: Divide both the numerator and the denominator by the GCD to simplify the fraction.\newline9÷3=39 \div 3 = 3\newline30÷3=1030 \div 3 = 10
  6. Write Simplified Fraction: Write the simplified fraction. 310\frac{3}{10}

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