Which sign makes the statement true? -2 5/8 ? -2 1/5 < > =
yes i like irt
I would want to do pop it art
To determine which sign makes the statement true, we need to compare -2 5/8 with -2 1/5.
First, let's convert both fractions to have the same denominator.
-2 5/8 can be written as (-(2 * 8 + 5)) / 8 = -21/8
-2 1/5 can be written as (-(2 * 5 + 1)) / 5 = -11/5
Now, we can compare the two fractions:
-21/8 ? -11/5
To compare these fractions, we can either find a common denominator or cross-multiply. Let's find a common denominator: the least common multiple (LCM) of 8 and 5 is 40.
Multiplying both numerator and denominator of -21/8 by 5, we get -105/40.
Multiplying both numerator and denominator of -11/5 by 8, we get -88/40.
Now we can compare the two fractions:
-105/40 ? -88/40
Since the numerators are negative, we can ignore the signs when comparing. The absolute values of -105/40 and -88/40 are 105/40 and 88/40, respectively.
Given that 105 is greater than 88, we can conclude that -105/40 is greater than -88/40.
Therefore, the correct sign to make the statement true is > (greater than).
Alternatively, you could use a calculator or computer program to perform the comparison and get the answer directly.