Question

Evaluate the expression shown below and write your answer as a fraction in simplest form: 3/10 + (- 5/6)

Answer 1

To add fractions, we need to find a common denominator. The common denominator for 10 and 6 is 30.

To convert the first fraction to have a denominator of 30, we multiply the numerator and denominator of 3/10 by 3, to get: (3 * 3) / (10 * 3) = 9/30.

To convert the second fraction to have a denominator of 30, we multiply the numerator and denominator of -5/6 by 5, to get: (-5 * 5) / (6 * 5) = -25/30.

Now, we can add the fractions: 9/30 + (-25/30).

When we add the numerators and keep the common denominator, we get: 9 + (-25) = -16.

So the fraction in simplest form is -16/30, which can be simplified further to -8/15.