This problem requires two conversions. First convert  to a mixed number fraction. This must equal a whole number of  and a fraction that represents a value of  tenths. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number, and then add that product to the numerator.  

Thus, the solution is:

To solve this problem, make a mixed number fraction with a whole number of  and a fraction that represents  hundredths. Then simplify the fraction portion of the mixed number by dividing the numerator and denominator by their largest common divisor. 

This problem requires you to first convert the decimal number to a mixed number fraction that has a whole number of  and a fraction that represents  thousandths. Then reduce the numerator and denominator by common divisors until you can no longer simplify the fraction. 

Both fractions and decimals represent part of a whole. The value of this decimal number reaches the ten-thousandths place value. Thus, the fraction must represent  ten-thousandths. Then reduce the numerator and denominator by the common divisor of . 

First convert this decimal number to a mixed number fraction, then covert the mixed number to an improper fraction. The mixed number fraction must have a whole number of  and a fraction that represents  tenths. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number, and then add that product to the numerator. 

Since the starting number is a mixed number fraction, the decimal number must also have a value in the ones place. Since the denominator in the fraction has a value that is a factor of , both the numerator and denominator can be multiplied by a factor of  to form  tenths. (Note, the first decimal place value is the tenths place).

The key to this problem is to realize that the store cannot buy partial crates of wristbands--it's all or nothing. Calculate how many crates can be bought with each sum of money by dividing the sum by the price of a crate.

Quantity A:

Although oh so close, only eight crates can be bought with this sum of money. Don't round up!

Quantity B:

There's just enough to buy nine crates.

Quantity B is greater.

To begin with, it is easiest just to add these decimals together using your calculator:

Now, this is the same thing as:

We can rewrite this:

To find this, you need to give the two numbers a common denominator:

This is your answer.

In decimal form  is said 33 hundredths.

This is equal to

.

This fraction cannot be reduced any further therefore it is in its final answer form.

To convert a decimal into a fraction, simply put the digits of the decimal in the numerator of a fraction, then one followed by a number of zeroes equal to the number of digits in the decimal as your denomator.  In this case:

Then, you can simplify, as both  and  are divisible by :