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

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

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

To multiply mixed numbers, we need to convert them into improper fractions first. Let's break down the process:

Step 1: Convert mixed numbers to improper fractions

  • 1 1/2: Multiply the whole number (1) by the denominator (2) and add the numerator (1). Keep the same denominator. (1 * 2) + 1 = 3. So, 1 1/2 becomes 3/2.

  • 2 1/3: Multiply the whole number (2) by the denominator (3) and add the numerator (1). Keep the same denominator. (2 * 3) + 1 = 7. So, 2 1/3 becomes 7/3.

Step 2: Multiply the fractions

Now that we have improper fractions, we can multiply them:

(3/2) * (7/3)

Step 3: Simplify the fraction

Multiply the numerators and the denominators:

(3 * 7) / (2 * 3) = 21/6

Simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 3:

21/6 = 7/2

Conclusion

Therefore, 1 1/2 x 2 1/3 is equal to 7/2. You can also express this as a mixed number, which would be 3 1/2.

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