One recipe calls for 3/4 of a cup of brown sugar. another recipe calls for 2/3 of a cup. which amount is larger?

To compare the relative sizes of fracitons, you are going to want to get them with a common denominator. In this case, the denominators of our fractions are 3 and 4, meaning that we are going to need to find a number that is a common multiple of both numbers.

To do this, simplify each number through prime factorization:

(it's prime)

Now, the LCM (least common multiple), or the number we are trying to find for, is going to be the product of the each unique base with the lowest exponent. That can sound a little confusing, so let's see how we could do it with this case and that may help to simplify the concept.

Finding the LCM

First, we see that we have two unique bases, 2 and 3. 2 is to the second power and 3 is to the first power. Since the two numbers that we simplified share no common numbers, the LCM is simply going to be the product of the two numbers:

The LCM is 12.

Now, let's get our fractions with a denominator of 12.

By simplifying, we can see that 3/4 is larger because it has a greater numerator when the fractions have common denominators.

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.  

sinn is the total amount of students now and m were the students before, you subtract them both (n-m) and divide that by m. then, since to get a percentage from a fraction you have to multiply by 100, your answer should look like this: n-m/m*100

step-by-step explanation: