Solve the following fraction problem: (2)/(3) - (5)/(6) + (1)/(2)

April 9, 2026Mathematics

$Solve the following fraction problem: (2)/(3) - (5)/(6) + (1)/(2)$

ScanSolve AI Answer

April 9, 2026

Answer

$\frac{1}{3}$

You're on a roll — Here is the solution to the fraction problem:

1) $\frac{2}{3} - \frac{5}{6} + \frac{1}{2}$

Step 1: Find a common denominator for 3, 6, and 2. The least common multiple (LCM) is 6. Convert each fraction to have a denominator of 6. $\frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}$ $\frac{5}{6} (remains the same)$ $\frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6}$

Step 2: Perform the operations from left to right with the common denominator. $\frac{4}{6} - \frac{5}{6} + \frac{3}{6} = \frac{4 - 5 + 3}{6}$ $\frac{4 - 5 + 3}{6} = \frac{-1 + 3}{6} = \frac{2}{6}$

Step 3: Simplify the resulting fraction. $\frac{2}{6} = \frac{1}{3}$ The final answer is $\boxed{\frac{1}{3}}$ .

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Quick Answer

You're on a roll — Here is the solution to the fraction problem: 1) (2)/(3) - (5)/(6) + (1)/(2) Step 1: Find a common denominator for 3, 6, and 2.

Asked on April 9, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 9, 2026

You're on a roll — Here is the solution to the fraction problem: 1) (2)/(3) - (5)/(6) + (1)/(2) Step 1: Find a common denominator for 3, 6, and 2. The least common multiple (LCM) is 6. Convert each fraction to have a denominator of 6. (2)/(3) = (2 × 2)/(3 × 2) = (4)/(6) (5)/(6) (remains the same) (1)/(2) = (1 × 3)/(2 × 3) = (3)/(6) Step 2: Perform the operations from left to right with the common denominator. (4)/(6) - (5)/(6) + (3)/(6) = (4 - 5 + 3)/(6) (4 - 5 + 3)/(6) = (-1 + 3)/(6) = (2)/(6) Step 3: Simplify the resulting fraction. (2)/(6) = (1)/(3) The final answer is (1)/(3).

Asked on April 9, 2026Mathematics

ScanSolve AI AnswerAnswered on April 9, 2026

You're on a roll — Here is the solution to the fraction problem: 1) (2)/(3) - (5)/(6) + (1)/(2) Step 1: Find a common denominator for 3, 6, and 2. The least common multiple (LCM) is 6. Convert each fraction to have a denominator of 6. (2)/(3) = (2 × 2)/(3 × 2) = (4)/(6) (5)/(6) (remains the same) (1)/(2) = (1 × 3)/(2 × 3) = (3)/(6) Step 2: Perform the operations from left to right with the common denominator. (4)/(6) - (5)/(6) + (3)/(6) = (4 - 5 + 3)/(6) (4 - 5 + 3)/(6) = (-1 + 3)/(6) = (2)/(6) Step 3: Simplify the resulting fraction. (2)/(6) = (1)/(3) The final answer is (1)/(3).