13/15 - 2/3 =
answer is 1/5
13/15 - 2/3
13/15 - 10/15
3/15
1/5
To solve this subtraction problem, you need to find a common denominator for the fractions 13/15 and 2/3. The common denominator is the least common multiple (LCM) of the denominators, which in this case is 15 and 3.
To find the LCM of 15 and 3, list the multiples of each number and find the least common multiple:
Multiples of 15: 15, 30, 45, 60, ...
Multiples of 3: 3, 6, 9, 12, ...
From the lists above, the LCM of 15 and 3 is 15.
Now, we need to express both fractions with the common denominator of 15:
13/15 remains the same since 15 is already the denominator.
To convert 2/3 to have 15 as the denominator, you multiply both the numerator and denominator by 5:
(2/3) * (5/5) = 10/15
Now that both fractions have the same denominator, subtract the numerators and keep the denominator the same:
13/15 - 10/15 = (13 - 10)/15 = 3/15
However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (GCD) which is 3:
(3/15) รท (3/3) = 1/5
Therefore, 13/15 - 2/3 = 1/5.