Part A: The numerator in the first fraction is closest to 8, so the fraction is nearest to 1.
To see this, we can simplify the fraction 8/10 by dividing both the numerator and denominator by the greatest common factor, which is 2. This gives us:
8/10 = 4/5
Since the numerator of the simplified fraction is closest to 5, we can estimate that the value of the first fraction is nearest to 1.
Part B: The numerator in the second fraction is closest to 2, so the fraction is nearest to 1/3.
To see this, we can simplify the fraction 2/6 by dividing both the numerator and denominator by the greatest common factor, which is 2. This gives us:
2/6 = 1/3
Since the numerator of the simplified fraction is closest to 1, we can estimate that the value of the second fraction is nearest to 1/3.
Part C: The value of the expression can be estimated as 1 + 1/3 = 1 1/3.
To see this, we can add the two estimated fractions from parts A and B:
1 + 1/3 = 3/3 + 1/3 = 4/3
Since 4/3 is closer to 1 1/3 than any other whole number or fraction, we can estimate that the value of the expression is nearest to 1 1/3.