1 1/4 X 1 1/4 In Fraction Form

3 min read Jun 17, 2024
1 1/4 X 1 1/4 In Fraction Form

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

This article will guide you through multiplying mixed numbers, specifically 1 1/4 x 1 1/4. We will break down the process into simple steps.

Understanding Mixed Numbers

A mixed number combines a whole number with a fraction, like 1 1/4. To multiply mixed numbers, we need to convert them into improper fractions.

Converting to Improper Fractions

  1. Multiply the whole number by the denominator: 1 x 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.

Multiplication of Fractions

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

  1. Multiply the numerators: 5 x 5 = 25
  2. Multiply the denominators: 4 x 4 = 16

This gives us 25/16.

Simplifying the Result

The fraction 25/16 is an improper fraction because the numerator is larger than the denominator. We can simplify it into a mixed number:

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

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

Conclusion

The product of 1 1/4 x 1 1/4 in fraction form is 1 9/16. By converting mixed numbers into improper fractions and applying the rules of fraction multiplication, we can easily solve this problem.

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