I am adding/ Subtracting with fractions. I am helping my daughter with her 6th grade homework. Thank you

When adding/subtracting fractions, the fractions must have a common denominator.

For this problem: 6/5 + 1/4 ,

the least common denominator is the least common multiple of the denominators in the fractions you are adding. Here, the two denominators are 4 and 5. Let's make a list of the multiples of 4 and the multiples of 5 and find the least common multiple of the two:

Multiples of 4: 4, 8, 12, 16, **20**, 24, 28, 32, .....

Multiples of 5: 5, 10, 15, **20**, 25, 30, 35, .....

We find that the least common multiple of 4 and 5 is 20. So we change the two fractions in the problem above to generate two fractions with a common denominator of 20.

6/5 + 1/4 multiply the first fraction by 4/4 and the second fraction by 5/5

(6/5)*(4/4) + (1/4)*(5/5) = (6*4)/(5*4) + (1*5)/(4*5)

= 24/20 + 5/20

= (24 + 5)/20

= 29/20

29/20 = 20/20 + 9/20 = 1+ 9/20 = 1 ^{9}/_{20}

Thus, 6/5 + 1/4 = 24/20 + 5/20 = 29/20 OR 1 ^{9}/_{20}