order the fractions from least to greatest 1/2, 3/4, 4/6
Change all of these fractions to equivalent fractions with a denominator of 12.
You could also convert them to decimal form.
To order fractions from least to greatest, you need to compare their values. One way to do this is by finding a common denominator for all the fractions and then comparing the numerators. Here's how you can approach this problem:
Step 1: Find a common denominator for all the fractions. In this case, the least common denominator (LCD) of 2, 4, and 6 is 12.
Step 2: Express each fraction with the common denominator of 12:
- 1/2 becomes 6/12 by multiplying the numerator and denominator by 6.
- 3/4 remains the same since 4 is already a factor of 12.
- 4/6 becomes 8/12 by multiplying the numerator and denominator by 2.
Now that all the fractions have the same denominator, you can compare their numerators to determine the order.
Step 3: Compare the numerators:
- 6/12, 3/4, and 8/12
Since the numerators are now in the same units, you can rank the fractions based on their numerator values.
Step 4: Order the fractions from least to greatest:
- 3/4 (has the smallest numerator)
- 6/12 (has the next smallest numerator)
- 8/12 (has the largest numerator)
So, the final order from least to greatest is: 1/2, 3/4, 4/6.