put this fractions in order
7/8, -5/8, 15/30, -8/11
You first have to find the common denominator.
What is the common denominator for these fractions?
15/30, -5/8, -8/11, 7/8
Going from least to greatest.
To put these fractions in order, we can use the concept of a common denominator and then compare their numerators.
1) Convert each fraction to have the same denominator:
- The denominators in the given fractions are 8, 8, 30, and 11 respectively.
- To find a common denominator, we need to find the least common multiple (LCM) of these denominators, which is 240.
- Now, we need to adjust each fraction by multiplying both the numerator and denominator by the necessary factor to get the common denominator of 240.
- For 7/8: Multiply both the numerator and denominator by 30, resulting in 210/240.
- For -5/8: Multiply both the numerator and denominator by 30, resulting in -150/240.
- For 15/30: No adjustment needed since the denominator is already 30.
- For -8/11: Multiply both the numerator and denominator by 20, resulting in -160/220.
2) Now, we can compare the numerators of each adjusted fraction:
- The numerator for 210/240 is 210.
- The numerator for -150/240 is -150.
- The numerator for 15/30 is 15.
- The numerator for -160/220 is -160.
3) Arrange the fractions in ascending order based on their numerators:
- Ascending order: -160/220, -150/240, 15/30, 210/240.
So, the fractions in order from least to greatest are:
-160/220, -150/240, 15/30, 210/240.