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

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

Multiplying Mixed Numbers: 1 1/4 x 2 2/3

To multiply mixed numbers, we need to convert them into fractions first. Here's how to do it:

Converting Mixed Numbers to Fractions

  • 1 1/4: Multiply the whole number (1) by the denominator of the fraction (4), and add the numerator (1). Keep the same denominator. (1 * 4) + 1 = 5, so 1 1/4 becomes 5/4.

  • 2 2/3: Multiply the whole number (2) by the denominator of the fraction (3), and add the numerator (2). Keep the same denominator. (2 * 3) + 2 = 8, so 2 2/3 becomes 8/3.

Multiplying Fractions

Now we have 5/4 * 8/3. To multiply fractions, we multiply the numerators and the denominators:

  • (5 * 8) / (4 * 3) = 40/12

Simplifying the Fraction

40/12 can be simplified by finding the greatest common factor (GCF), which is 4. Dividing both numerator and denominator by 4:

  • 40/12 = 10/3

Converting back to a Mixed Number (Optional)

10/3 is an improper fraction (numerator is larger than the denominator). To convert it back to a mixed number, divide the numerator (10) by the denominator (3):

  • 10 ÷ 3 = 3 with a remainder of 1

The quotient (3) becomes the whole number, the remainder (1) becomes the numerator, and the denominator stays the same (3).

Therefore, 10/3 is equivalent to 3 1/3.

In conclusion, 1 1/4 x 2 2/3 is equal to 10/3 or 3 1/3.

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