3/7, 5/6, 4/5 least to greatest
Divide the numerator by the denominator and change each fraction to a decimal.
To order the fractions from least to greatest, we need to compare them using a common denominator.
First, let's find a common denominator for the fractions. The denominator is the bottom number of each fraction, and we need to find a number that all the denominators can divide evenly into.
The denominators in the fractions provided are 7, 6, and 5. To find a common denominator, we can start by finding the least common multiple (LCM) of these numbers.
The LCM of 7, 6, and 5 is 210.
Now, we will convert each fraction so that they all have the same denominator of 210. Here's how we do it:
For the fraction 3/7, to convert it to have a denominator of 210, we multiply both the numerator and the denominator by the same number. In this case, we multiply the numerator by 30 and the denominator by 30. So 3/7 becomes 90/210.
For the fraction 5/6, to convert it to have a denominator of 210, we multiply both the numerator and the denominator by the same number. In this case, we multiply the numerator by 35 and the denominator by 35. So 5/6 becomes 175/210.
For the fraction 4/5, to convert it to have a denominator of 210, we multiply both the numerator and the denominator by the same number. In this case, we multiply the numerator by 42 and the denominator by 42. So 4/5 becomes 168/210.
Now, we can compare the converted fractions:
90/210, 175/210, 168/210
To order them from least to greatest, we can simply compare the numerators:
90/210 < 168/210 < 175/210
Therefore, the fractions in order from least to greatest are:
90/210, 168/210, 175/210