1 2/3 Times 1 2/3 In Fraction Form

2 min read Jun 17, 2024
1 2/3 Times 1 2/3 In Fraction Form

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

This article will guide you through multiplying the mixed number 1 2/3 by itself, resulting in a fractional form.

Converting Mixed Numbers to Fractions

Before we multiply, we need to convert the mixed numbers into improper fractions. Here's how:

  • 1 2/3: Multiply the whole number (1) by the denominator (3), then add the numerator (2): (1 x 3) + 2 = 5. Keep the same denominator: 5/3.

Now we have: (5/3) x (5/3)

Multiplying Fractions

To multiply fractions, we simply multiply the numerators and the denominators:

(5/3) x (5/3) = (5 x 5) / (3 x 3) = 25/9

Converting Back to Mixed Number (Optional)

While 25/9 is a valid answer, it can be expressed 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.
  • The remainder (7) becomes the numerator of the fraction.
  • The denominator (9) stays the same.

Therefore, 25/9 is equivalent to 2 7/9.

Conclusion

1 2/3 multiplied by 1 2/3 equals 25/9 or 2 7/9.

Related Post