Which of the following is a correct statement?
-9/3>3/9
-3/9>-9/3
-3/9<-9/3
9/3<3/9
To determine which of the statements is correct, we need to compare the given fractions. Here's how you can do it:
Statement 1: -9/3 > 3/9
To compare fractions, you can cross-multiply or find a common denominator. Here, we'll find a common denominator by multiplying the denominators together (3 * 9 = 27).
-9/3 is equivalent to -27/9, and 3/9 is already in its simplified form.
Now, we can compare:
-27/9 > 3/9
Since the numerators have the same sign and the denominators are the same, we can compare the numerators. -27 is indeed less than 3, so this statement (-9/3 > 3/9) is FALSE.
Statement 2: -3/9 > -9/3
To make the comparison easier, we'll convert both fractions to decimals.
-3/9 is equivalent to -0.33, and -9/3 is equivalent to -3.
Now, we can compare:
-0.33 > -3
Since -0.33 is greater than -3, this statement (-3/9 > -9/3) is TRUE.
Statement 3: -3/9 < -9/3
As we did in the previous statement, we'll convert both fractions to decimals.
-3/9 is still equivalent to -0.33, and -9/3 is still equivalent to -3.
Now, we can compare:
-0.33 < -3
Since -0.33 is less than -3, this statement (-3/9 < -9/3) is TRUE.
Statement 4: 9/3 < 3/9
Let's convert both fractions to decimals.
9/3 is equivalent to 3, and 3/9 is equivalent to 0.33.
Now, we can compare:
3 < 0.33
Since 3 is greater than 0.33, this statement (9/3 < 3/9) is FALSE.
In summary, the correct statement among the given options is:
-3/9 > -9/3