Final answer:
To determine which is greater, 37/50 or 38%, we convert them to the same format. After converting, it is evident that 37/50, which is equivalent to 74%, is greater than 38%.
Step-by-step explanation:
To compare the two numbers, 37/50 and 38%, we should convert them to the same format. Either we can convert the fraction 37/50 to a percentage, or convert 38% to a fraction and then compare them.
First, let's convert the fraction to a percentage:
$$ \frac{37}{50} = 37 \div 50
= 0.74 $$
Then to convert to a percentage, we multiply by 100:
$$ 0.74 \times 100 = 74% $$
So we have 74% and 38%. Clearly, 74% is greater than 38%.
Alternatively, converting 38% to a fraction:
$$ 38% = \frac{38}{100}
= \frac{19}{50} $$
Now we compare the two fractions, 37/50 and 19/50. Since both fractions have the same denominator, we can simply compare the numerators to determine which is greater. The fraction with the larger numerator, 37/50, is the greater number.