What is 1 1/4×2 3/4?
Understanding Fractions in Measurements
When working with measurements, especially in woodworking, construction, or DIY projects, you may encounter fractions like 1 1/4×2 3/4. These mixed fractions can be confusing, but understanding them is crucial for accurate calculations and successful projects.
Breaking Down the Measurement
Let's break down the measurement 1 1/4×2 3/4:
- 1 1/4: This is a mixed fraction, where 1 is the whole number part, and 1/4 is the fractional part.
- ×: This symbol indicates multiplication.
- 2 3/4: Another mixed fraction, where 2 is the whole number part, and 3/4 is the fractional part.
Converting to Improper Fractions
To multiply these mixed fractions, we need to convert them to improper fractions:
- 1 1/4 = 5/4
- 2 3/4 = 11/4
Multiplying the Fractions
Now, we can multiply the improper fractions:
- (5/4) × (11/4) = 55/16
Simplifying the Result
The result, 55/16, can be simplified to a mixed fraction:
- 55/16 = 3 7/16
Conclusion
In conclusion, 1 1/4×2 3/4 equals 3 7/16. Understanding how to work with mixed fractions is essential in various industries and DIY projects. By breaking down the measurement, converting to improper fractions, multiplying, and simplifying the result, you can accurately calculate and achieve your desired outcome.
