1 1/4 Times 1 1/4 As A Fraction

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

Multiplying Mixed Numbers: Finding 1 1/4 times 1 1/4

This article will guide you through multiplying the mixed number 1 1/4 by itself, resulting in a fraction.

Understanding Mixed Numbers

Before diving into the multiplication, let's remember what mixed numbers are. A mixed number combines a whole number and a fraction. For example, 1 1/4 represents one whole and one-quarter.

Converting to Improper Fractions

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

  1. Multiply the whole number by the denominator: 1 * 4 = 4
  2. Add the numerator: 4 + 1 = 5
  3. Keep the same denominator: 5/4

Therefore, 1 1/4 is equivalent to 5/4.

Multiplying the Fractions

Now, we can multiply the two improper fractions:

(5/4) * (5/4) = (5 * 5) / (4 * 4) = 25/16

Converting Back to a Mixed Number

The result, 25/16, is an improper fraction. Let's convert it back to a mixed number:

  1. Divide the numerator by the denominator: 25 ÷ 16 = 1 with a remainder of 9
  2. The quotient becomes the whole number: 1
  3. The remainder becomes the numerator: 9
  4. Keep the same denominator: 16

Therefore, 25/16 is equivalent to 1 9/16.

Conclusion

Multiplying 1 1/4 by itself results in 1 9/16. Remember to convert the mixed numbers to improper fractions before multiplying and then convert the result back to a mixed number if necessary.

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