Subtracting Fractions: 1 1/3 - 1/2
This article will guide you through the process of subtracting the fractions 1 1/3 and 1/2.
Understanding Mixed Numbers and Fractions
- Mixed Number: A mixed number combines a whole number and a fraction, like 1 1/3.
- Fraction: A fraction represents a part of a whole, such as 1/2.
Steps to Subtract Fractions
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Convert Mixed Number to a Fraction:
- Multiply the whole number (1) by the denominator of the fraction (3).
- Add the numerator (1).
- Keep the denominator the same.
- This gives us: (1 * 3) + 1 / 3 = 4/3
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Find a Common Denominator:
- The smallest common denominator for 3 and 2 is 6.
- Convert 4/3 to 8/6 by multiplying both numerator and denominator by 2.
- Convert 1/2 to 3/6 by multiplying both numerator and denominator by 3.
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Subtract the Numerators:
- Subtract the numerators of the fractions: 8/6 - 3/6 = 5/6
The Answer
Therefore, 1 1/3 - 1/2 = 5/6