Question

The area of (3 (7)/(8)) and (1 frac(1)/(3)) is less than the difference between (frac(3)/(8)) and (1 frac(2)/(3)).

a) True
b) False

Answer 1

The statement is False. The area of (3 (7)/(8)) and (1 frac(1)/(3)) is greater than the difference between (frac(3)/(8)) and (1 frac(2)/(3)).

Step-by-step explanation:

The statement is b)False. To compare the areas of two fractions, you need to find their common denominator. The common denominator for 3(7/8) and 1(1/3) is 8. Converting 3(7/8) to have a denominator of 8, we get 3(7/8) = 22/8. Converting 1(1/3) to have a denominator of 8, we get 1(1/3) = 11/3. 22/8 is greater than 11/3.

The difference between 3/8 and 1(2/3) is (3/8) - (1(2/3)). Converting 3/8 to have a denominator of 24, we get 9/24. Converting 1(2/3) to have a denominator of 24, we get 26/24. The difference is 9/24 - 26/24 = -17/24. Since -17/24 is negative, the statement is false.