how do you put these fractions in order 1/4, 6/7, 3/5 from least to greatest
Change the fractions to equivalent fractions with a common denominator.
To arrange fractions in order from least to greatest, you can compare them by finding a common denominator and then comparing their numerators. Here are the steps to solve the problem:
Step 1: Find a common denominator for the fractions 1/4, 6/7, and 3/5.
Since the denominators are already different, we need to find a common denominator for all three. To do this, we can multiply the denominators together:
4 * 7 * 5 = 140.
So, the common denominator for all three fractions is 140.
Step 2: Convert the fractions to have the same denominator.
To convert the fractions, we need to adjust their numerators and denominators:
- For the fraction 1/4: Multiply the numerator and denominator by 35 (which is 140 divided by 4).
1/4 = (1 * 35) / (4 * 35) = 35/140
- For the fraction 6/7: Multiply the numerator and denominator by 20 (which is 140 divided by 7).
6/7 = (6 * 20) / (7 * 20) = 120/140
- For the fraction 3/5: Multiply the numerator and denominator by 28 (which is 140 divided by 5).
3/5 = (3 * 28) / (5 * 28) = 84/140
Step 3: Compare the numerators to determine the order from least to greatest.
Now that all the fractions have the same denominator, we can compare their numerators to determine the order:
- 35/140, 120/140, 84/140
Since 35 is the smallest numerator, followed by 84, and then 120, the order from least to greatest is:
1/4, 3/5, 6/7.