Determine the fraction equivalency of the decimal number 2.46.

246/1000
2 46/1000
2 23/50
223/500

1 answer

To find the fraction equivalency of the decimal number 2.46, we can break it down as follows:

  1. The whole number part is 2.
  2. The decimal part is 0.46, which can be expressed as a fraction.

To convert 0.46 to a fraction, we can recognize that:

  • 0.46 is the same as 46/100 (because the decimal extends two places).
  • We can simplify 46/100 by dividing the numerator and the denominator by their greatest common divisor, which is 2.

So,

\[ \frac{46}{100} = \frac{46 \div 2}{100 \div 2} = \frac{23}{50} \]

Now we can combine the whole number with the fraction. The decimal 2.46 can be expressed as:

\[ 2 + \frac{23}{50} = \frac{2 \cdot 50}{50} + \frac{23}{50} = \frac{100 + 23}{50} = \frac{123}{50} \]

Therefore, the fraction equivalent of 2.46 is:

\[ \frac{123}{50} \text{ (not listed in the options)} \]

However, if we just focus on the answers provided:

  • \( \frac{246}{1000} \) does not represent 2.46, since \( \frac{246}{1000} = 0.246 \).
  • \( 2 \frac{46}{1000} \) suggests \( 2 + 0.046 \), which is not equal to 2.46.
  • \( 2 \frac{23}{50} \) is equal to 2.46, as we established while simplifying.
  • \( \frac{223}{500} \) is equivalent to 0.446, which is not equal to 2.46.

Therefore, the correct option is:

2 \(\frac{23}{50}\).