Which is True?
A 3/5 > 1/2
B 1/2 < 4/9
C 5/11 > 1/2
D 1/2 > 5/8
How do I determine?
Thanks for the help!
The shortcut for doing these is as follows:
Cross-multiply by multiplying the numerator of the first times the denominator of the second. Then multiply the denominator of the first time the numerator of the second. If the numerator of the first x the denominator of the second is greater than the denominator of the first x the numerator of the second, then the first fraction is greater. Otherwise, the second fraction is greater. Try it and see!
DanH is right.
6/10 > 5/10
9/18 < 8/18
10/22 > 11/22
4/8 > 5/8
Which answer is correct?
To determine which statement is true, we can use the method of cross-multiplication.
Cross-multiplication involves multiplying the numerator of the first fraction by the denominator of the second fraction and vice versa. Then, we compare the results to determine which fraction is greater.
Let's go through the options one by one:
A) 3/5 > 1/2:
3 * 2 = 6 and 5 * 1 = 5. Here, 6 is greater than 5, so the statement is true.
B) 1/2 < 4/9:
1 * 9 = 9 and 2 * 4 = 8. Here, 9 is greater than 8, so the statement is false.
C) 5/11 > 1/2:
5 * 2 = 10 and 11 * 1 = 11. Here, 10 is less than 11, so the statement is false.
D) 1/2 > 5/8:
1 * 8 = 8 and 2 * 5 = 10. Here, 8 is less than 10, so the statement is false.
Based on the results of cross-multiplication, option A (3/5 > 1/2) is the correct answer.
Remember, this method can be applied to any similar comparison of fractions.