Final answer:
To subtract mixed numbers, check for common denominators, subtract whole numbers, subtract numerators, simplify, and write the answer.
Step-by-step explanation:
Rules for Subtracting Mixed Numbers:
- Check if the fractions have the same denominators. If they do not, find the least common multiple of the denominators, and rewrite each fraction with the same denominator.
- Write the subtraction problem for the scenario.
- Subtract the whole numbers and subtract the numerator of the fractions, leaving the denominators the same.
- Simplify the answer, if necessary, and write the final answer with the units that the scenario described.
Example:
Subtract 3 1/2 from 5 3/4:
- Find the least common multiple of 2 and 4, which is 4. Rewrite 3 1/2 as 3/2 and 5 3/4 as 23/4.
- Write the subtraction problem: 5 3/4 - 3 1/2
- Subtract: 5 - 3 = 2, and subtract: 3/2 - 23/4 = 6/4 - 23/4 = -17/4.
- The final answer is -17/4 or -4 1/4.
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