To convert fractions into decimals, you want to have a fraction whose denominator is either , or another number that starts with  and ends in s.

Take the number in the numerator and move the decimal point to the left as many times as there are s in the denominator.

Start by multiplying both the numerator and denominator by .

Since  has  zeroes, we will need to move the decimal point three spaces to the left.

To convert fractions into decimals, you want to have a fraction whose denominator is either , or another number that starts with  and ends in s.

Take the number in the numerator and move the decimal point to the left as many times as there are s in the denominator.

Start by multiplying both the numerator and denominator by .

Since  has  zeroes, we will need to move the decimal point three spaces to the left.

First you must make the fractions have common denominators, so we multiply    by 2 and  by 5.

We are left with  and .

The only fraction between these fractions is 

Karl has eaten 1 part out of a possible 3 parts of the loaf of bread.  To find out how big each part is, we divide 24 by the number of parts (3).

So each part would be 8 slices of bread.  Karl ate 1 part, so he has eaten 8 slices of bread.

To find the part from the whole, you will need to multiply the whole (23) by the percent. In order to do this, first change the percent to a decimal (62% becomes 0.62).

The question askes you to round to the nearest tenths place: 14.26 becomes 14.3.

Therefore, 62% of 23 is 14.3.

There are students in Ms. Jones' class.  Since the probability of her calling on a male student is , we must first find of .

Now we must reduce by dividing both the top and bottom by .

is the same as , so there are male students in Ms. Jones' class. In order to find the number of female students in Ms. Jones' class, we must subtract from the total number of students in the class, which is .

There are female students in Ms. Jones' class.

First, we need to find  of . Multiply  to get .

Then, we need to find  of . Multiply  to get .

All of the answer choices are factors of seventy, but only one is not prime.

A prime number is a number greater than one that has only one and itself as divisors.

Thirty-five is not a prime number, because in addition to being divisible by one and itself, it is also divisible by five and seven. Therefore, the answer is thirty-five.

To solve this problem, begin by finding the total number of students that voted for tennis, basketball, or swimming.

We are told there are twenty students in the class, and now we know that fourteen of those twenty voted for the three sports mentioned. The remaining students voted for other sports.

Six out of the twenty students, or  of the class, voted for other sports. 

When we reduce  to simplest form (divide the numerator and denominator by two), we get the fraction    .

Therefore,  of the students voted for other sports.

 of   can be rewritten as