1 2/3 X 1 1/4 As A Fraction

3 min read Jun 17, 2024
1 2/3 X 1 1/4 As A Fraction

Multiplying Mixed Numbers: A Step-by-Step Guide

Let's break down how to multiply the mixed numbers 1 2/3 and 1 1/4 to arrive at a single fraction.

Converting Mixed Numbers to Improper Fractions

The first step is to convert our mixed numbers into improper fractions. To do this, we follow these simple steps:

  1. Multiply the whole number by the denominator:
    • For 1 2/3: 1 x 3 = 3
    • For 1 1/4: 1 x 4 = 4
  2. Add the numerator to the result:
    • For 1 2/3: 3 + 2 = 5
    • For 1 1/4: 4 + 1 = 5
  3. Keep the original denominator:
    • 1 2/3 becomes 5/3
    • 1 1/4 becomes 5/4

Now we have our original problem as: (5/3) x (5/4)

Multiplying Fractions

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

  • Numerator: 5 x 5 = 25
  • Denominator: 3 x 4 = 12

This gives us the result: 25/12

Simplifying the Fraction

The fraction 25/12 is an improper fraction because the numerator is larger than the denominator. We can simplify this into a mixed number:

  1. Divide the numerator by the denominator: 25 ÷ 12 = 2 with a remainder of 1.
  2. The quotient (2) becomes the whole number part of the mixed number.
  3. The remainder (1) becomes the numerator of the fraction.
  4. The denominator remains the same (12).

Therefore, 25/12 simplifies to 2 1/12.

Conclusion

By following these steps, we have successfully multiplied the mixed numbers 1 2/3 and 1 1/4, arriving at the answer 2 1/12.