Put these fractions in order from least to greatest.2/5 3/4 and 1/2. I am trying to help my daughter with her homework. Would you please explain to me how the easiest way to do this.
The easiest way is to change these fractions to decimals.
Finn,,Kahn
1/3 1/6 1/9 1/2
Of course! To put these fractions in order from least to greatest (in this case, 2/5, 3/4, and 1/2), we can follow these steps:
1. Find a common denominator: Look for the least common multiple (LCM) of the denominators of the fractions involved. In this case, the denominators are 5, 4, and 2. The LCM of 5, 4, and 2 is 20.
2. Convert the fractions: Rewrite each fraction using the common denominator of 20. To do this, multiply the numerator and denominator of each fraction by the same value that brings the denominator to 20.
- For 2/5: Multiply the numerator and denominator by 4, making it 8/20.
- For 3/4: Multiply the numerator and denominator by 5, making it 15/20.
- For 1/2: Multiply the numerator and denominator by 10, making it 10/20.
3. Compare the fractions: Now that all the fractions have the same denominator, we can compare their numerators. Start with the smallest numerator and move to the largest.
- 8/20 is the smallest fraction.
- 10/20 is the next largest.
- 15/20 is the largest fraction.
4. Write the fractions in order: The fractions from least to greatest are 8/20, 10/20, and 15/20. However, we can simplify them by dividing both the numerator and denominator by their greatest common divisor, which is 5.
- 8/20 simplifies to 2/5.
- 10/20 simplifies to 1/2.
- 15/20 simplifies to 3/4.
So, the fractions in order from least to greatest are: 2/5, 1/2, and 3/4.
By following these steps, you can help your daughter understand the process of ordering fractions in a straightforward way.