Final answer:
To solve six-sevenths minus five-fourteenths, we brought both fractions to a common denominator of 14, resulting in the fractions 12/14 and 5/14. Subtracting these, we get the final answer of 7/14, which doesn't need further reduction.
Step-by-step explanation:
To solve the equation six-sevenths minus five-fourteenths, we first need to have a common denominator for the two fractions. We can see that the least common denominator for 7 and 14 is 14.
Now, we convert six-sevenths to have the denominator of 14:
Next, we take the fraction five-fourteenths as it is:
Now we can subtract the second fraction from the first since they have the same denominator:
- 12/14 - 5/14 = (12 - 5)/14 = 7/14
The simplified answer is seven-fourteenths. There's no need to reduce the fraction further because 7 and 14 share no common factors other than 1. Our final answer is 7/14.
While working with fractions, it's important to remember that natural intuition can help us get an estimate before we carry out the exact calculations. Also, it's important to express your answer with the proper number of significant figures and round as necessary, similar to practices in scientific measurement.