Add the following fractions:
7/20 + 3/5
To add these fractions, we need to have a common denominator. The least common denominator (LCD) for 20 and 5 is 20, so we'll convert both fractions to have a denominator of 20.
Converting 7/20 to have a denominator of 20, we multiply the numerator and denominator by 1, which is the same as multiplying by 20/20:
7/20 * 20/20 = 140/400
Converting 3/5 to have a denominator of 20, we multiply the numerator and denominator by 4, which is the same as multiplying by 4/4:
3/5 * 4/4 = 12/20
Now, we can add the fractions:
140/400 + 12/20
Since the fractions have the same denominator, we can simply add the numerators together and keep the denominator the same:
(140 + 12) / 400 = 152/400
However, we can simplify this fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which is 8. Dividing both the numerator and denominator by 8:
152/400 รท 8/8 = 19/50
So, the sum of 7/20 and 3/5 is 19/50.