Fraction Calculation: 3/4 × 1 1/4
In this article, we will explore the calculation of multiplying two fractions: 3/4 and 1 1/4. Fractions are an essential part of mathematics, and understanding how to multiply them is crucial for various mathematical operations.
Understanding the Fractions
Before we dive into the calculation, let's break down the two fractions involved:
- 3/4: This fraction represents three equal parts out of four. Imagine a pie divided into four slices, and you eat three of them.
- 1 1/4: This is a mixed fraction, which means it's a combination of a whole number and a fraction. It can be written as 1 + 1/4 or 5/4.
Multiplying Fractions
To multiply fractions, we need to follow a simple rule:
** Multiply the numerators (numbers on top) and multiply the denominators (numbers at the bottom), then simplify the result. **
Let's apply this rule to our fractions:
- Numerators: 3 (from 3/4) × 5 (from 1 1/4) = 15
- Denominators: 4 (from 3/4) × 4 (from 1 1/4) = 16
So, the result of multiplying 3/4 and 1 1/4 is:
15/16
This is the resulting fraction from multiplying 3/4 and 1 1/4. The numerator is 15, and the denominator is 16.
Simplifying the Result
Before we conclude, let's check if our result can be simplified further. In this case, the greatest common divisor (GCD) of 15 and 16 is 1, so our result is already in its simplest form.
Conclusion
In this article, we calculated the result of multiplying two fractions: 3/4 and 1 1/4. By following the rule of multiplying numerators and denominators, we arrived at the result of 15/16. This calculation is essential in various mathematical operations, such as solving equations and simplifying expressions.
