Put fraction in order least to greatest 5/8 5/6 1/2 4/9 2/3 11/12
To put fractions in order from least to greatest, you can follow these steps:
Step 1: Find a common denominator for all the fractions.
Step 2: Convert all the fractions to have the same denominator.
Step 3: Compare the numerators of the fractions to determine their order.
Let's apply these steps to the given fractions: 5/8, 5/6, 1/2, 4/9, 2/3, and 11/12.
Step 1: Find a common denominator for all the fractions.
The least common denominator (LCD) for the fractions 8, 6, 2, 9, 3, and 12 is 72.
Step 2: Convert all the fractions to have the same denominator.
Now, we will convert each fraction to have a denominator of 72.
5/8 = (5/8) * (9/9) = 45/72
5/6 = (5/6) * (12/12) = 60/72
1/2 = (1/2) * (36/36) = 36/72
4/9 remains the same as it already has a denominator of 9.
2/3 = (2/3) * (24/24) = 48/72
11/12 = (11/12) * (6/6) = 66/72
Now, the fractions are: 45/72, 60/72, 36/72, 4/9, 48/72, and 66/72.
Step 3: Compare the numerators of the fractions to determine their order.
To put the fractions in order from least to greatest, we'll compare their numerators.
36/72 < 45/72 < 48/72 < 60/72 < 66/72 < 4/9
Therefore, the fractions in order from least to greatest are:
1/2, 5/8, 2/3, 5/6, 11/12, 4/9