To determine if ( \frac{2}{3} ) is less than 1, let’s break it down into a simple calculation.
Understanding Fractions
Fractions represent parts of a whole. In this case, ( \frac{2}{3} ) means that 2 parts are taken out of 3 equal parts. When comparing it to 1, which can be represented as ( \frac{3}{3} ), we are essentially comparing how many parts we have in relation to the whole.
Visual Representation
To make it easier to understand, let’s visualize it:
Whole (1) : |---|---|---| (3 parts)
Fraction (2/3) : |---|---| (2 parts)
Quick Calculation
To determine if ( \frac{2}{3} ) is less than 1:
- Convert ( 1 ) to a fraction: ( 1 = \frac{3}{3} ).
- Now we can compare ( \frac{2}{3} ) and ( \frac{3}{3} ).
Comparison Table
Fraction | Value | Comparison |
---|---|---|
( \frac{2}{3} ) | 0.67 | Less than ( \frac{3}{3} ) (1) |
( \frac{3}{3} ) | 1 | More than ( \frac{2}{3} ) |
Conclusion
From the comparison, it’s evident that ( \frac{2}{3} ) is indeed less than 1. Therefore:
The statement is true: ( \frac{2}{3} < 1 ) ✅!
This clear understanding of fractions can aid in various mathematical concepts, enhancing your ability to compare and analyze numerical values effectively.