Answer:
To add fractions with different denominators, we need to find a common denominator.
First, we can simplify 4/10 by dividing both the numerator and denominator by 2:
4/10 = 2/5
Now, we can find a common denominator by multiplying the denominator of 37/100 by 5:
37/100 + 2/5 = (37 * 5)/(100 * 5) + 2/5
= 185/500 + 200/500
Now that we have a common denominator, we can add the two fractions:
185/500 + 200/500 = 385/500
We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 5:
385/500 = 77/100
Therefore, 37/100 + 4/10 = 77/100.