The divers in order from least to greatest based on the number of liters left in their oxygen tank is Alexis, Sofia, Dante
We are dealing with ordering of fractions
What are fractions?
Fractions are rational numbers written in the form a/b where a and b are integers and b ≠ 0.
What is ordering of fractions?
Ordering of fractions is the arrangement of fractions in order from least to greatest or greatest to least.
How to place the divers from least to greatest?
Given that
- Alexis has seventy five eighths this equals ⁷⁵/₈
- Dante has 9.7 liters left. This equals 9.7 = 9⁷/₁₀ = 97/10
- Sofia has nine and seven twelfths. This equals 9⁷/₁₂ = 115/12
To compare the fractions, we take the L.C.M of the denominators.
So, L.C.M of 8, 10 and 12 is 120
So, multiplying each fraction by 120, we have
For Alexis 75/8 × 120 = 75 × 15 = 1125
For Dante 97/10 × 120 = 97 × 12 = 1164
For Sofia 115/12 × 120 = 115 × 10 = 1150
So, we see that the order of the nummbers from least to greatest is
1125, 1150, 1164
So, the order of the numbers from least to greatest is
⁷⁵/₈, 9⁷/₁₂, 9⁷/₁₀,
So, the divers in order from least to greatest based on the number of liters left in their oxygen tank is Alexis, Sofia, Dante
Learn more about ordering of fractions here:
https://brainly.com/question/689403
#SPJ1
