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Evaluate the expression shown below and write your answer as a fraction in simplest form.Answer:
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Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.Answer:
- Find Common Denominator: To subtract the two fractions, we need to find a common denominator. The denominators are and , which are both prime to each other, so the common denominator will be their product, .
- Convert to Equivalent Fractions: Now we convert each fraction to an equivalent fraction with the common denominator of . For the first fraction, , we multiply both the numerator and the denominator by to get . For the second fraction, , we multiply both the numerator and the denominator by to get .
- Subtract Fractions: With both fractions having the common denominator of , we can now subtract them: .
- Perform Numerical Subtraction: Subtracting the numerators while keeping the common denominator gives us .
- Check for Simplification: Performing the subtraction in the numerator gives us
- Check for Simplification: Performing the subtraction in the numerator gives us .We now check if the fraction can be simplified further. Since is a prime number and does not share any common factors with other than , the fraction is already in its simplest form.
