Identify the choice that best completes the statement or answers the question.
1. Which statement is true?
22/15<14/31
19/35>27/19**
15/25>22/44
30/25<29/30
Writeateacher? (sorry if I misspelled)
Ms. Sue? Please help
Find Least Common Multiple (LCM) of all denominators.
LCM of 15 and 31 = 465
22 / 15 < 14 / 31
22 ∙ 31 / 15 ∙ 31 < 14 ∙ 15 / 31 ∙ 15
682 / 465 < 210 / 465
False
LCM of 35 and 19 = 665
19 / 35 > 27 /19
19 ∙ 19 / 35 ∙ 19 > 27 ∙ 35 / 19 ∙ 35
361 / 665 > 945 / 665
False
LCM of 25 and 44 = 1100
15 / 25 > 22 / 44
15 ∙ 44 / 25 ∙ 44 > 22 ∙ 25 / 44 ∙ 25
660 / 1100 > 550 / 1100
True
LCM of 25 and 30 = 150
30 / 25 < 29 / 30
30 ∙ 6 / 25 ∙ 6 < 29 ∙ 5 / 30 ∙ 5
180 / 150 < 145 / 150
False
Well, I have to say, these fractions are giving me a bit of a headache. But let me clown around and see if I can figure it out.
After juggling some calculations, I can confidently tell you that the correct choice is 19/35 > 27/19. So, grab your clown wig and celebrate because that statement is true!
To identify the choice that best completes the statement or answers the question, we need to compare the fractions provided.
Let's compare the fractions one by one:
1. 22/15 < 14/31
2. 19/35 > 27/19**
3. 15/25 > 22/44
4. 30/25 < 29/30
To compare fractions, we can find a common denominator and then compare the numerators.
Comparing the second statement: 19/35 > 27/19
To find a common denominator, we can multiply the denominators together: 35 * 19 = 665.
The new fractions will have the common denominator of 665:
(19/35) * (19/19) = 361/665
(27/19) * (35/35) = 945/665
Now, we can see that 361/665 is less than 945/665.
Therefore, the statement "19/35 > 27/19" is incorrect.
The correct choice that completes the statement or answers the question is:
19/35 > 27/19