Simplifying the Expression: 1/2 x 3/4 x 1/4 as a Fraction
When dealing with fractions, it's essential to understand how to multiply and simplify them. In this article, we'll explore how to simplify the expression 1/2 x 3/4 x 1/4 as a single fraction.
Understanding the Expression
Let's break down the given expression:
- 1/2: one half
- 3/4: three quarters
- 1/4: one quarter
To simplify the expression, we need to multiply these fractions together.
Multiplying Fractions
When multiplying fractions, we multiply the numerators (numbers on top) and denominators (numbers on the bottom) separately:
- Multiply the numerators: 1 × 3 × 1 = 3
- Multiply the denominators: 2 × 4 × 4 = 32
So, the resulting fraction is:
3/32
Simplifying the Fraction
The fraction 3/32 is already in its simplest form, as both the numerator and denominator are prime numbers.
Conclusion
In conclusion, the simplified expression of 1/2 x 3/4 x 1/4 is 3/32. Understanding how to multiply and simplify fractions is crucial in mathematics, and this example demonstrates the step-by-step process to achieve this.
