7/12, 3/4, and 2/3 in order which one is the smallest to the greatest?
Convert these fractions to their equivalents with a common denominator.
Or use equivalent decimals.
Well the answer is
To determine the order from smallest to greatest among the fractions 7/12, 3/4, and 2/3, we can compare the fractions by finding a common denominator and then comparing their numerators.
1. Find a common denominator among the fractions. The least common multiple (LCM) of the denominators 12, 4, and 3 is 12. So, convert all the fractions to have a denominator of 12.
- Multiply 7/12 by 1 to maintain its value: (7/12) * (1/1) = 7/12.
- Multiply 3/4 by 3/3 to get the new denominator:
(3/4) * (3/3) = 9/12.
- Multiply 2/3 by 4/4 to get the new denominator:
(2/3) * (4/4) = 8/12.
2. Now that all the fractions have a common denominator of 12, we can compare their numerators.
- 7/12, 9/12, 8/12
3. Finally, arrange the fractions in ascending order, from smallest to greatest:
- 7/12, 8/12, 9/12
Therefore, the order from smallest to greatest is 7/12, 8/12, and 9/12.