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Answer :
Final answer:
To order 14/15 and 19/20, rewrite them with a common denominator and compare them.
Explanation:
To find a common denominator for 14/15 and 19/20, we need to determine the least common multiple (LCM) of 15 and 20. The LCM of 15 and 20 is 60.
So, 14/15 can be rewritten as 56/60 and 19/20 can be rewritten as 57/60.
Now, we can compare them. Since 56/60 is less than 57/60, we can say that 14/15 is less than 19/20.
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Final answer:
After rewriting 14/15 and 19/20 to have a common denominator of 60, we find that 14/15 is less than 19/20 because 56/60 is less than 57/60.
Explanation:
To compare 14/15 and 19/20, we first need to find a common denominator for these two fractions. A common denominator for 15 and 20 can be obtained by finding the least common multiple (LCM) of the two numbers, which is 60 in this case. By converting each fraction to have this common denominator, we can compare them more easily.
To rewrite 14/15 with a denominator of 60, we multiply both the numerator and the denominator by 4, which gives us the equivalent fraction 56/60. Similarly, to rewrite 19/20 with a denominator of 60, we multiply both the numerator and the denominator by 3, giving us the equivalent fraction 57/60.
Now that we have both fractions with a common denominator, we can compare the numerators directly:
- 14/15 = 56/60
- 19/20 = 57/60
Since 56 < 57, we now can see that 56/60 is less than 57/60, which means that 14/15 is less than 19/20.
