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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 Terms, Denominator: Identify the like terms and the common denominator.In the expression , the first term is already a fraction, but the second term is a whole number. To combine these, we need a common denominator. The denominator for the first term is , so we will use this for the second term as well.
- Convert Whole Number to Fraction: Convert the whole number to a fraction with the common denominator.To convert the whole number to a fraction with the denominator , we multiply both the numerator and the denominator by :
- Combine Fractions: Combine the fractions.Now we have two fractions with the same denominator, so we can combine them:
- Simplify Numerator: Simplify the numerator.The numerator cannot be simplified further because and are not like terms.
- Check for Common Factors: Check for any common factors in the numerator and denominator that can be canceled.There are no common factors between and that can be canceled, so the fraction is already in its simplest form.
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