Which of the following fractions is the largest?
A. 1/24
B. 7/30
C. 1/45
D. 13/56
E. 1/72
OA: B
What's wrong with option D?
A. 1/24
B. 7/30
C. 1/45
D. 13/56
E. 1/72
OA: B
What's wrong with option D?
It doesn't take long to realize that A, C and E are not contenders, so we can eliminate them.ardz24 wrote:Which of the following fractions is the largest?
A. 1/24
B. 7/30
C. 1/45
D. 13/56
E. 1/72
Then we're left with B and D
From here, one option is to convert them both to decimals (perhaps to three decimal places) by dividing the numerator by the denominator.
When we do this, we get....
B) 7/30 ≈ 0.233
D) 13/56 ≈ 0.232
Answer: B
Another option is to rewrite the two fractions with a common denominator, which is equal to the product (30)(56)
B) 7/30 = (7)(56)/(30)(56)
= 393/(30)(56) [aside: we need not evaluate the denominator]
D) 13/56 = (13)(30)/(56)(30)
= 390/(30)(56)
Answer: B
Cheers,
Brent
