Perform the indicated operation.

13/15 - 2/25


​(Type an integer or a fraction. Simplify your​ answer.)

1 answer

To subtract fractions, we need to find a common denominator. The least common denominator for 15 and 25 is 75.

We need to express the fractions with denominators of 75.

For 13/15, we multiply the numerator and denominator by 5 to get:
(13 * 5) / (15 * 5) = 65/75.

For 2/25, we multiply the numerator and denominator by 3 to get:
(2 * 3) / (25 * 3) = 6/75.

Now, we can subtract these fractions.

65/75 - 6/75 = (65 - 6) / 75 = 59/75.

Therefore, the result of the operation is 59/75.