Question

Is 3/11 greater than 3/13?Write an explain your thinking.

Answer 1

3/11 is greater than 3/13 because it represents larger portions of a whole since the denominator is smaller and the numerators are equal. Therefore, each 1/11th is larger than each 1/13th, making 3/11 the larger fraction.

Step-by-step explanation:

To determine whether 3/11 is greater than 3/13, you can compare the two fractions by thinking about the size of the pieces they represent. Picture a pie divided into 11 parts and another pie divided into 13 parts. Each part from the pie divided into 11 parts (1/11) will be larger than each part from the pie divided into 13 parts (1/13) because the more pieces a pie is divided into, the smaller each piece will be. Because both fractions have the same numerator, the one with the smaller denominator gives larger pieces. Hence, a fraction with a larger denominator represents a smaller portion when compared to a fraction with a smaller denominator.

So, in the case of 3/11 versus 3/13, since 11 is less than 13, the three pieces of 1/11 are each bigger than three pieces of 1/13. Therefore, 3/11 is greater than 3/13.

Answer 2

Answer: Yes

Step-by-step explanation: Notice that the fractions that we're comparing in this problem have different denominators. When fractions have different denominators they're called unlike fractions.

To compare unlike fractions, we must first get a common denominator.

The common denominator of 11 and 13 will be the least common multiple of 11 and 13 or 143.

To get a 124 in the denominator of 3/11, we multiply the numerator and the denominator by 13 which gives us 39/144.

To get a 144 in the denominator of 3/13, we multiply the numerator and the denominator by 11 which gives us 33/144.

Now we have like fractions since both of our fractions have the same denominator or bottom number.

To compare them, simply look at the top numbers.

Since 39 is bigger than 33, 39/144 is greater than 33/144.

This means that 3/11 is bigger than 3/13.