Answer: 19/28
Step-by-step explanation: Notice that 1/4 and 3/7 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.
The common denominator of 4 and 7 will be the least common multiple of 4 and 7 which is 28.
To get a 28 in the denominator of 1/4, we multiply the numerator and the denominator by 7 which gives us 7/28.
To get a 28 in the denominator of 2/7, we multiply the numerator and the denominator by 4 which gives us 12/28.
Now to add like fractions or fractions that have the same denominator, we simply add the numerators and keep the original denominator.
So here, we have 7 + 12 which is 19 and we put this over our original denominator which is 28.
So, 1/4 + 3/7 = 19/28.