7. Arrange the rational numbers in ascending order
-3/7 , 5/-14,-7/12
please give step by step instructions
Answers
Answer:
−0.4285714286, -0.3571428571, −0.5833333333
Step-by-step method to solve
1) Ok so to solve such questions, each rational number must have the same denominator. Rewrite the rational numbers as -3/7 , -5/14 and -7/12 since they mean the same but are easier to understand.
2) To get the same denominator, we need to find the LCM of the denominators of the rational numbers, that is, LCM of 7, 14, and 12.
3) To find the LCM, use the factorization method. The LCM that you will obtain will be 84.
4) Thus in the rational number -3/7, we see that the denominator is 7. Divide 84 by 7 since 7 is the denominator. You get 12. Multiply 7 to both -3 and 7 of the rational number -3/7.
(-3 x 12)/(7 x 12) = -36/84
5) Repeat the step number 4 for the other two rational numbers.
You get: -5/14 = -30/84 and -7/12 = -49/84
6) Arrange these new rational numbers in order:
-49/84 , -36/84 , -30/84
7) Now replace these new rational numbers with their old rational number value:
-7/12 , -3/7 , -5/14
8) Remember we wrote 5/-14 as -5/14 in the first step? Replace -5/14 in the order obtained above with 5/-14 so that it returns to its original form:
-7/12 , -3/7 , 5/-14
CONGRATULATIONS!!!!!!!!!! WE FOUND THE ANSWER!!!!!
Hence, the ascending order of the rational numbers is -7/12 , -3/7 , 5/-14
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