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Simplify. Express your answer as a single fraction in simplest form.
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Q. Simplify. Express your answer as a single fraction in simplest form.
- Identify like terms: Identify the like terms and the need to create a common denominator for the terms.Since can be written as a fraction with a denominator of , we can rewrite it with a common denominator of to combine it with the term .
- Convert whole number to fraction: Convert the whole number to a fraction with the common denominator xy.To do this, we multiply by (xy/xy), which is equivalent to .
- Combine fractions with common denominator: Combine the fractions /xy and xy/xy.Since they now have a common denominator, we can combine the numerators.
- Simplify numerator by subtraction: Simplify the numerator by performing the subtraction. is already in its simplest form since and xy are not like terms.So the fraction remains .
- Check for further simplification: Check if the fraction can be simplified further.The numerator and the denominator do not have any common factors other than , so the fraction is already in its simplest form.
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