What is 2114% expressed as a fraction?


Responses

13200
13 over 200

1740
17 over 40

1780
17 over 80

2180
21 over 80

1 answer

To express 2114% as a fraction, we start by converting the percentage to a decimal:

2114% = 2114/100.

Next, we simplify the fraction:

2114/100 = 1057/50 (since both 2114 and 100 can be divided by 2).

Now, we have:

\[ 2114% = \frac{1057}{50}. \]

Since none of the options match directly, let's convert it into a format with 200 as a denominator to find the correct choice among your responses.

To do this, we find an equivalent fraction with a denominator of 200:

\[ \frac{1057}{50} \times \frac{4}{4} = \frac{4228}{200}. \]

Next, compare it against the possible options. We want to find an approximate representation.

Noticing the choices given, we can simplify:

  • 13200: Not applicable.
  • 13 over 200: Equals 0.065.
  • 17 over 40: Equals 0.425.
  • 17 over 80: Equals 0.2125.
  • 21 over 80: Equals 0.2625.

Let's check which is equivalent to 2114%.

Calculating \( \frac{2114}{100} = 21.14 \) and converting it, seems relevant most to \( \frac{21}{80} \):

It looks like there may be confusion.

Here’s a clear breakdown if \( \frac{2114}{100} > 21.14 \) thus evaluating the choices:

The closest match to a fraction to overall value is 21 over 80, \(21.4 = \frac{21}{80.}\)

Thus, the correct response from the options provided is 21 over 80.

Answer: 21 over 80.