help me :( Which shows the fractions in order from greatest to least? A. 5/10 1/4 3/4 5/7 B. 3/4 5/7 5/10 1/4 C. 5/10 5/7 3/4 1/4 D. 1/4 3/4 5/7 5/10
hurry! :(
nvm it was B
simplest way would have been to look at their decimals:
these you should have known immediately:
3/4 = .75
5/10 = .50
1/4 = .25
for the 5/7, visualize the long division.
you know 50/7 = 7 with remainder 1
10/7 = 1 with a remainder
so 5/7 = .71......
the order is now obvious
b
To determine the order of fractions from greatest to least, you can compare them by finding a common denominator and then comparing the numerators.
Let's analyze each option and find the correct order:
A. 5/10 1/4 3/4 5/7:
To compare fractions, we need to convert them to the same denominator. Here, we can convert all fractions to tenths:
5/10 = 1/2 (multiplying numerator and denominator by 2)
1/4 = 2/8 (multiplying numerator and denominator by 2)
3/4 and 5/7 already have the same denominator.
Now, we can compare the fractions:
1/2 > 2/8 (since 1/2 is bigger than 1/4)
1/2 > 3/4 (since 1/2 is smaller than 5/10)
1/2 < 5/7 (since 1/2 is smaller than 7/10)
So, option A is not in the correct order.
B. 3/4 5/7 5/10 1/4:
Here, we don't need to make any conversions since all fractions already have different denominators.
By comparing the numerators:
3/4 > 1/4 (since 3/4 is bigger than 1/4)
3/4 > 5/7 (since 3/4 is bigger than 5/7)
3/4 > 5/10 (since 3/4 is bigger than 1/2)
So, option B is in the correct order.
C. 5/10 5/7 3/4 1/4:
In this option, we need to convert 5/10 to be the same as the other fractions:
5/10 = 1/2 (multiplying numerator and denominator by 2)
Now, comparing the fractions:
1/2 > 5/7 (since 1/2 is smaller than 7/10)
1/2 < 3/4 (since 1/2 is smaller than 3/4)
1/2 < 1/4 (since 1/2 is smaller than 1/4)
So, option C is not in the correct order.
D. 1/4 3/4 5/7 5/10:
Again, we need to convert 5/10 to a common denominator:
5/10 = 1/2 (multiplying numerator and denominator by 2)
Comparing the fractions:
1/4 < 3/4 (since 1/4 is smaller than 3/4)
1/4 < 5/7 (since 1/4 is smaller than 5/7)
1/4 < 1/2 (since 1/4 is smaller than 1/2)
So, option D is not in the correct order.
In conclusion, the correct answer is option B: 3/4 5/7 5/10 1/4, as it shows the fractions in order from greatest to least.