Question 389449: Simplify: 1 1/15+3 3/10-2 4/5
Could someone show me how to do this I must show all work and do not understand how to do this.
Found 2 solutions by MathLover1, gwendolyn:
Answer by MathLover1(20849)   (Show Source):
Answer by gwendolyn(128)  (Show Source):
You can put this solution on YOUR website! Generally, the first thing you want to do when working with "mixed numbers"
(such as 1 and 1/15) is to convert them to fractions without a whole number.
To do this, we will create "improper fractions" which have numerators
larger than the denominators. We do this by multiplying each whole number
by 1, where the 1 is represented by the denominator divided by the denominator
of the attached fraction. It's easier to show it:
1 and 1/15 is the same as
Adding the numerators we get:
3 and 3/10 is the same as:
2 and 4/5 is the same as:
14/5
So, to restate the problem in improper fractions:
Now, to add fractions, we need to find the least common denominator.
15 has 3,5 as factors
10 has 2,5 as factors
5 has 5 as a factor
So, if we multiply 3,5, and 2 together to get 30, each of the denominators should go evenly into that number.
Put each of the terms using the least common denominator:
30/15 = 2
30/10 = 3
30/5 = 6
Since the demoninators are the same, we can combine the numerators now:
47/30
Or, converting back to a mixed number:
30/30 and 17/30
1 and 17/30
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