Does 1 17/18 - 7/9 = 2 13/18?

No. You can't subtract and get a larger number.

first thing find your common denominator

1 17/18 -14/18= 2 13/18

then if you have to you can make uncommon fractions 35/18-14/18= 49/18

then you decide

my bad. Is it 1 and 3/18?

Yes. Now simplify 1 3/18

To find out if 1 17/18 - 7/9 equals 2 13/18, we need to subtract the two fractions and see if the result matches 2 13/18.

First, let's convert the mixed numbers into improper fractions:
1 17/18 = (18 * 1 + 17) / 18 = 35/18
2 13/18 = (18 * 2 + 13) / 18 = 49/18

Now, let's subtract the fractions:
35/18 - 7/9

To subtract fractions, we need to find a common denominator. Since 18 and 9 share a common multiple of 18, we can use 18 as the common denominator.

Now let's find the equivalent fractions with a common denominator:
35/18 - 14/18

Subtract the numerators and keep the denominator:
(35 - 14) / 18 = 21/18

Simplify the fraction:
21/18 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
21/18 = (21 ÷ 3) / (18 ÷ 3) = 7/6

Now, let's check if 7/6 equals 2 13/18:
To compare these fractions, we need to convert the mixed number 2 13/18 into an improper fraction:
2 13/18 = (18 * 2 + 13) / 18 = 49/18

Now, we can compare the two fractions:
7/6 is not equal to 49/18.

Therefore, 1 17/18 - 7/9 does not equal 2 13/18.