Problem Solving

Which of the following fractions is greater than 1/4?

A. 12/50
B. 3/11
C. 2/9
D. 4/17
E. 6/24

OA is B
Can an Expert confirm this OA, please.

Which of the following fractions is greater than 1/4?

A. 12/50
B. 3/11
C. 2/9
D. 4/17
E. 6/24

OA is B
Can an Expert confirm this OA, please.

Hi Roland2rule,
Let's take a look at your question.

We will compare each fraction with 1/4 to check which one is greater than 1/4.
Let's start with option A, 12/50
To compare fractions, we make the denominators of the fraction same.
$$\frac{12}{50}=\frac{12}{50}\times\frac{2}{2}=\frac{24}{100}$$
$$\frac{1}{4}=\frac{1}{4}\times\frac{25}{25}=\frac{25}{100}$$
Compare the numerator of both the fractions now.
24<25, therefore, 12/50 < 1/4.

Now check option B, 3/11.
Make the denominators of both the fractions same.
$$\frac{3}{11}=\frac{3}{11}\times\frac{4}{4}=\frac{12}{44}$$
$$\frac{1}{4}=\frac{1}{4}\times\frac{11}{11}=\frac{11}{44}$$

Compare the numerators, we can see that 12 > 11, therefore, 3/11 > 1/4.

Therefore, Option B is correct.

Hope it helps.
I am available if you'd like any follow up.

Roland2rule wrote:Which of the following fractions is greater than 1/4?

A. 12/50
B. 3/11
C. 2/9
D. 4/17
E. 6/24

To compare two fractions:
1. Multiply the denominator in each fraction by the numerator in the other fraction.
2. The numerator that yields the greater product belongs to the greater fraction.

A: 12/50 versus 1/4
50*1 = 50.
4*12 = 48.
Since the numerator for 1/4 yields the greater product, 1/4 is greater than 12/50.

B: 3/11 versus 1/4
11*1 = 11.
4*3 = 12.
Since the numerator for 3/11 yields the greater product, 3/11 is greater than 1/4.

The correct answer is B.