Answer:
106/35 or 3 and 1/35 (depending on if the answer should be a mixed number or improper fraction)
Step-by-step explanation:
2 3/5 + 3/7
to add, you first convert to improper fractions by multiplying the denominator by the whole number and adding that product to the numerator
5*2=10 and 10+3=13 so the first fraction is now 13/5
the problem is now 13/5+3/7
when adding fractions the denominator needs to be the same. To find the least common multiple (or LCM) or a number you take the number's prime factorization and multiply together the largest number of each prime together. However, since these numbers are prime this is unnecessary and we can just multiply them. When multiplying to change the denominator or numerator you must always multiply the opposite side by the same number. This is because a number over the same number equals one and thus you are altering the form without altering the intrinsic numerical value associated with it. For example, you would multiply 13/5 * 7/7 and get 91/35
Next we would multiply 3/7 * 5/5 because 5 is the number that would make the denominator of this fraction also equal 35 and get 15/35
We now have the equation 91/35 + 15/35
When adding the denominator stays the same and you add the numerators which would produce 106/35
We can convert this to a mixed number by seeing how many times 35 can go into 106 completely.
35 goes into 106 3 times with a leftover of 1 so the mixed version would be 3 and 1/35
