Final answer:
To simplify the expression (1/3 - 1/5) ÷ 11/15, find a common denominator to subtract the fractions, then multiply by the reciprocal of 11/15. The simplified result is 2/11.
Step-by-step explanation:
The question asks us to simplify the expression (1/3 - 1/5) ÷ 11/15. To simplify this expression, we need to perform the subtraction within the parentheses, find a common denominator, subtract the numerators, and then divide by 11/15.
Steps to Simplify the Expression
- Find a common denominator for the fractions within the parentheses: The common denominator for 1/3 and 1/5 is 15.
- Express each fraction with the common denominator: (1/3) becomes (5/15) and (1/5) becomes (3/15).
- Subtract the numerators: (5/15) - (3/15) = (2/15).
- Divide by 11/15 by multiplying with its reciprocal: (2/15) ÷ (11/15) becomes (2/15) × (15/11).
- Simplify the result by canceling equivalent terms in the numerator and denominator: The 15 in the numerator cancels out with one of the 15s in the denominator, leaving (2/11).
The simplified form of the expression is 2/11.