Question

What is (-2/3)x2 -3/4 x 2 1/3 in simplest form

Answer 1

The simplified form of the expression '(-2/3) x 2 - (3/4) x (2 1/3)' is -37/12 or -3 1/12 after converting mixed numbers to improper fractions, multiplying, and finding a common denominator.

Step-by-step explanation:

The equation given by the student involves both multiplication and addition of fractions and mixed numbers.

Steps to simplify '(-2/3) x 2 - (3/4) x (2 1/3)':

1. Convert mixed numbers to improper fractions: 2 1/3 = 7/3.
2. Multiply the fractions by their corresponding numbers:
   (-2/3) x 2 = -4/3 and
   (3/4) x (7/3) = 21/12 = 7/4 (after simplification).
3. Subtract the second result from the first:
   (-4/3) - (7/4).
4. Find common denominator (12) and subtract:
   (-16/12) - (21/12) = -37/12.

So, the simplified form of the given expression is -37/12 or -3 1/12.