1 2/3 X 1 2/3 As A Fraction

3 min read Jun 17, 2024
1 2/3 X 1 2/3 As A Fraction

Multiplying Mixed Numbers: 1 2/3 x 1 2/3

This article will guide you through the process of multiplying mixed numbers, specifically 1 2/3 x 1 2/3, and expressing the answer as a fraction.

Step 1: Convert Mixed Numbers to Improper Fractions

  • 1 2/3: To convert this to an improper fraction, multiply the whole number (1) by the denominator (3) and add the numerator (2). This gives us 5. Keep the same denominator (3). So, 1 2/3 becomes 5/3.

  • 1 2/3: Following the same process, we get 5/3.

Step 2: Multiply the Improper Fractions

Now, we have the problem: (5/3) x (5/3)

  • To multiply fractions, multiply the numerators and the denominators.
  • Numerators: 5 x 5 = 25
  • Denominators: 3 x 3 = 9

This gives us 25/9.

Step 3: Simplify to a Mixed Number (Optional)

While 25/9 is a correct answer, it's often helpful to express it as a mixed number.

  • Divide the numerator (25) by the denominator (9): 25 ÷ 9 = 2 with a remainder of 7.
  • The quotient (2) becomes the whole number part of the mixed number.
  • The remainder (7) becomes the numerator of the fraction.
  • Keep the same denominator (9).

Therefore, 25/9 simplifies to 2 7/9.

Conclusion

The product of 1 2/3 and 1 2/3, expressed as a fraction, is 25/9 or 2 7/9. Remember to follow these steps for multiplying any mixed numbers.