To determine the corresponding fraction for the underlined digit [tex]\( \underline{37} \)[/tex], let's carefully examine the options provided:
We have four fractions to choose from:
1. [tex]\( \frac{5}{10} \)[/tex]
2. [tex]\( \frac{2}{10} \)[/tex]
3. [tex]\( \frac{3}{10} \)[/tex]
4. [tex]\( \frac{4}{10} \)[/tex]
We need to find the fraction that accurately represents the given value of the underlined digit, [tex]\( \underline{37} \)[/tex].
By analyzing the options:
- The fraction [tex]\( \frac{5}{10} \)[/tex] reduces to [tex]\( 0.5 \)[/tex], which does not correspond to 37.
- The fraction [tex]\( \frac{2}{10} \)[/tex] reduces to [tex]\( 0.2 \)[/tex], which does not correspond to 37.
- The fraction [tex]\( \frac{3}{10} \)[/tex] reduces to [tex]\( 0.3 \)[/tex], which fits the context of 37 out of 100, i.e., it’s close to [tex]\( 0.37 \)[/tex] when considering decimal representation.
- The fraction [tex]\( \frac{4}{10} \)[/tex] reduces to [tex]\( 0.4 \)[/tex], which does not correspond to 37.
Therefore, the correct fraction corresponding to the underlined digit 37 is:
[tex]\[ \frac{3}{10} \][/tex]
So, the corresponding fraction for the underlined digit [tex]\( \underline{37} \)[/tex] is [tex]\( \frac{3}{10} \)[/tex].
