What is the order of least to greatest for 9/10, 5/6, and 14/15?
thanks
To determine the order from least to greatest for the fractions 9/10, 5/6, and 14/15, follow these steps:
1. Find a common denominator: Look for the least common multiple (LCM) of the denominators 10, 6, and 15. In this case, the LCM of 10, 6, and 15 is 30.
2. Convert each fraction: Multiply the numerator and denominator of each fraction by the appropriate factor to make the denominator equal to the LCM (30).
- For 9/10, multiply both the numerator and denominator by 3, resulting in 27/30.
- For 5/6, multiply both the numerator and denominator by 5, resulting in 25/30.
- For 14/15, multiply both the numerator and denominator by 2, resulting in 28/30.
3. Arrange the fractions: Now that all three fractions have the same denominator, simply compare the numerators.
The order from least to greatest is:
25/30, 27/30, 28/30
Simplifying the fractions gives:
5/6, 9/10, 14/15
Change these fractions to equivalent fractions with denominators of 30.
Or change them to equivalent decimals.