Anton is making a fruit salad. He uses #2/3# cup of grapes and #1/2# cup of strawberries. What is the total amount of fruit Anton uses?
A total of
In order to add fractions, the denominators must be the same. In this case, we can multiply the denominators to get the least common denominator (LCD). The least common denominator is
The improper fraction
For Anton to calculate the total amount of fruit in the salad, he will have to add the components by first changing the given measurements to those which will add easily. He must express the two numbers in common terms.
so we need to make the terms match each other.
If we multiply the denominator (bottom number)
Because we multiplied the
So now we can make both terms common by multiplying each one so both have a denominator of
To multiply the entire fraction by
We will need a better way. How about multiplying by
We know that
And using multiplication of numerators (top) and denominators (bottom) then we get:
For the strawberries we use the same reasoning to multiply:
Now we can add them into the salad with cups