What is the result of 2/5 + 1/3 - 1/4 ?
19/60 is the result of 2/5 + 1/3 - 1/4.
To solve the expression 2/5 + 1/3 - 1/4, we first need to find a common denominator, which is 60. Rewriting each fraction leads to 24/60 + 20/60 - 15/60. Adding and subtracting these fractions gives us 29/60, which is the final result.
This option represents a value that is too low to be the result of the given expression. The calculations of adding and subtracting the fractions do not yield this fraction; hence, it does not follow from the arithmetic operations performed.
This choice is also incorrect as it results from incorrect arithmetic. The correct operations on the fractions do not simplify to this fraction, indicating a misunderstanding of the addition and subtraction of the fractions involved.
This is the correct answer as it results from the correct calculation of the given expression. The actual arithmetic yields 29/60 when properly combining the fractions, but the answer provided here is incorrect due to a simple miscalculation during addition and subtraction.
This option appears to be an addition error during calculation. It does not reflect the intended operations of the problem. The correct total after performing the operations accurately is indeed 29/60, which signifies an algebraic mistake in the simplification steps taken to arrive at this choice.
The correct result of the expression 2/5 + 1/3 - 1/4 is 29/60 after finding the common denominator and performing the addition and subtraction correctly. Each incorrect choice represents misunderstandings or miscalculations in the arithmetic process, highlighting the importance of careful fraction manipulation in solving problems involving multiple operations.
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