Which statement is true?
29/35 < 20/30
18/34 > 16/32
14/21 > 17/24
20/15 < 28/23
SO WHATS THE ANSWER!?!?! IT URGENT!!!!!!
To determine which statement is true, we can compare the fractions by finding their equivalent decimal values.
1. 29/35 is approximately equal to 0.82857, and 20/30 is equal to 0.66667. Therefore, 29/35 > 20/30. This statement is false.
2. 18/34 is approximately equal to 0.52941, and 16/32 is equal to 0.5. Therefore, 18/34 > 16/32. This statement is true.
3. 14/21 is approximately equal to 0.66667, and 17/24 is equal to 0.70833. Therefore, 14/21 < 17/24. This statement is true.
4. 20/15 is equal to 1.3333, and 28/23 is approximately equal to 1.21739. Therefore, 20/15 > 28/23. This statement is false.
So, the true statements are:
- 18/34 > 16/32
- 14/21 < 17/24
To determine which statement is true, we need to compare the fractions and determine if the inequality is correct.
Let's evaluate each statement:
1. 29/35 < 20/30:
To compare fractions with different denominators, we need to have a common denominator. In this case, the least common multiple (LCM) of 35 and 30 is 210. So, we need to rewrite the fractions with 210 as the denominator:
29/35 = (29/35) * (6/6) = (29*6)/(35*6) = 174/210
20/30 = (20/30) * (7/7) = (20*7)/(30*7) = 140/210
Now, we can compare the fractions:
174/210 < 140/210
Both fractions have the same denominator, so we only need to compare the numerators. In this case, 174 is greater than 140, so the statement 29/35 < 20/30 is FALSE.
2. 18/34 > 16/32:
To compare fractions, we can use a similar approach:
18/34 = (18/34) * (2/2) = (18*2)/(34*2) = 36/68
16/32 = (16/32) * (2/2) = (16*2)/(32*2) = 32/64
Now, we can compare the fractions:
36/68 > 32/64
Both fractions have the same denominator, so we only need to compare the numerators. In this case, 36 is greater than 32, so the statement 18/34 > 16/32 is TRUE.
3. 14/21 > 17/24:
Again, let's convert the fractions into equivalent fractions with a common denominator:
14/21 = (14/21) * (8/8) = (14*8)/(21*8) = 112/168
17/24 = (17/24) * (7/7) = (17*7)/(24*7) = 119/168
Now, we can compare the fractions:
112/168 > 119/168
Both fractions have the same denominator, so we only need to compare the numerators. In this case, 112 is less than 119, so the statement 14/21 > 17/24 is FALSE.
4. 20/15 < 28/23:
Once again, let's convert the fractions into equivalent fractions with a common denominator:
20/15 = (20/15) * (23/23) = (20*23)/(15*23) = 460/345
28/23 = (28/23) * (15/15) = (28*15)/(23*15) = 420/345
Now, we can compare the fractions:
460/345 < 420/345
Both fractions have the same denominator, so we only need to compare the numerators. In this case, 460 is greater than 420, so the statement 20/15 < 28/23 is FALSE.
After evaluating all the statements, we can conclude that the only true statement is:
18/34 > 16/32.
If you change each answer to decimals, the answer will become clear. For example:
.83 < .67