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-3/5 + (8/35)= 13/35???

The fractions have to have a common denominator.

-3/5 = -21/35

8/35 - 21/35 = -13/35

find the LCD for 5, 35

-3/5 + 8/35 = -21/35 + 8/35 = -13/35

thank you for helping me

You're welcome.

To add two fractions, you need to have the same denominator.

Let's first find the least common denominator (LCD) of -3/5 and 8/35.

The factors of 5 are 1, 5, and the factors of 35 are 1, 5, 7. The common factors are 1 and 5, so the LCD is 5.

Next, we need to convert the fractions to have the same denominator of 5.

For -3/5, we multiply the numerator and denominator by 1 (since 5/5 equals 1):

-3/5 * 1/1 = -3/5

For 8/35, we multiply the numerator and denominator by 7, as it will give us the same denominator of 5:

8/35 * 7/7 = 56/245

Now, we can add the two fractions together:

-3/5 + 56/245 = (-3 + 56)/245 = 53/245

So, the correct sum of -3/5 + 8/35 is 53/245, not 13/35.