1 1/4 Minus 1/2 As A Fraction

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

Subtracting Fractions: 1 1/4 - 1/2

This article will guide you through the steps of subtracting the fraction 1/2 from the mixed number 1 1/4.

Understanding Mixed Numbers

A mixed number combines a whole number and a fraction. In our case, 1 1/4 represents one whole unit plus one quarter of another unit.

Finding a Common Denominator

Before we can subtract fractions, they must have the same denominator. The least common denominator for 4 and 2 is 4.

  • 1/2: Multiply both the numerator and denominator by 2: (1 x 2) / (2 x 2) = 2/4

Subtracting the Fractions

Now we can rewrite our problem:

1 1/4 - 1/2 becomes 1 1/4 - 2/4

  • Subtract the numerators: 1 - 2 = -1
  • Keep the denominator: -1/4

Simplifying the Result

We have a negative numerator, indicating that we are subtracting more than we have. Let's adjust the whole number part.

  • Borrow one from the whole number: 1 - 1 = 0
  • Add the borrowed whole number as a fraction: 0 + 4/4 = 4/4
  • Combine the fractions: 4/4 - 1/4 = 3/4

Conclusion

Therefore, 1 1/4 - 1/2 is equal to 3/4.

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