1 1/4 Times 1/2 As A Fraction

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

Finding the Product of 1 1/4 and 1/2

This article will guide you through the process of multiplying the mixed number 1 1/4 by the fraction 1/2.

Understanding Mixed Numbers

First, let's understand what a mixed number represents. A mixed number like 1 1/4 combines a whole number (1) with a proper fraction (1/4). To perform multiplication, it's often helpful to convert mixed numbers into improper fractions.

Converting Mixed Numbers to Improper Fractions

To convert 1 1/4 to an improper fraction, follow these steps:

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

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

Multiplying Fractions

Now that we have both numbers as fractions, we can proceed with the multiplication.

  1. Multiply the numerators: 5 * 1 = 5
  2. Multiply the denominators: 4 * 2 = 8

This gives us the result 5/8.

Simplifying the Result

The fraction 5/8 is already in its simplest form as the numerator and denominator have no common factors other than 1.

Conclusion

Therefore, the product of 1 1/4 and 1/2 is 5/8.

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