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# is 15/17 more or less than 1?

Hi, Memorie.

As John said, a fraction is a division problem.

When the numerator (top number) is smaller than the denominator (bottom number), the fraction is less than one.

When the numbers are equal, like 17/17, the fraction is equal to one.

If the numerator is larger, the fraction is more than 1. In this case when the fractions are "top-heavy", they can also be written as mixed numbers.

A fraction is a division problem.  The number on the top of the fraction is divided by the number on the bottom of the fraction.     In other words, you need to divide 15 by 17.  The answer is approximately 0.882

Since 0.882 is less than 1, 15/17 is less than 1.

To compare two fractions, use the following method:

15             1

17             1

multiply first numerator with second denominator and put the result in the place of first numerator,

then multiply second numerator with first denominator and put the result in the place of second numerator.

Like the cross multiplication!

Compare the results and whichever is larger, then the fraction having that result is larger.

Here, we have:

15    15                 1    17

17                          1

since 17 > 15, so the second fraction is larger!

This comes in handy when you try to compare 35/43 and 87/97.

37     3589           87    3741

43                         97                              so the second fraction is larger.

0.8605                0.8969

Don't you like the three prime numbers?

And do you like to try one out yourself?!

To determine if a fraction is smaller or greater than one, you need to pay close attention to the numerator (the top number of the fraction) and the denominator (the bottom number of the fraction). If the numerator is smaller than the denominator then your fraction is less than one. Adversely, if it is greater than the denominator, then it is greater than one.

Hi Memorie,

You need to divide 15 by 17 in order to find out the answer to this.  Now, 17/17 = 1, right?  So when you divide 15 by 17, you're going to get an answer that is less than 1 because you're dividing a small number by a larger number.

Hope this helps!

The fraction 15/17 means that a whole is divided into 17 equal parts according to the denominator, and only 15 of those 17 equal parts are seen according to the numerator.  Since the numerator 15 is smaller than the denominator 17, that means 15/17 is a proper fraction.  Now, if all 17 equal parts were seen, then the fraction would be 17/17, and when the numerator is equal to the denominator, then the fraction is equivalent to 1.  Therefore, 15/17 is less than 1.

Any time your top number, the numerator is smaller than the bottom number your answer is less than one, if top number is equal to bottom the answe is 1. If top number is larger the answer will be greater than 1.

To answer the question if the fraction 15/17 is less than or greater than 1 - we can do this quickly by by just comparing the values of the numerator and the denominator.  If the numerator is less than the denominator then the fraction is less than the whole (1), which is the case for our fraction (15/17).  In order for the value of a fraction to be greater than 1 - the numerator must be greater than the denominator, which is NOT the case for our fraction (15/17).  If a fraction has a numerator and a denominator that are equal to each other - the value of the fraction is ALWAYS equal to the value of the whole (1).