Question

Expression is equivalent 1/3+(3/4+2/3)?

Answer 1

The expression 1/3 + (3/4 + 2/3) is equivalent to 7/4.

Step-by-step explanation:

The expression is equivalent to 1/3 + (3/4 + 2/3). To solve this expression, we need to simplify the inner parentheses first. Adding 3/4 and 2/3, we get a common denominator of 12:

1. 3/4 + 2/3 = 9/12 + 8/12 = 17/12

Now, we can substitute the simplified fraction back into the original expression:

1. 1/3 + (3/4 + 2/3) = 1/3 + 17/12
2. To add the fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 12:
3. 1/3 + 17/12 = 4/12 + 17/12 = 21/12
4. Finally, we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 3:
5. 21/12 = (3 * 7) / (3 * 4) = 7/4

Therefore, the expression 1/3 + (3/4 + 2/3) is equivalent to 7/4.