We want to find this sum.
2/2 + 3/3
We will do it in two different ways. Let's go!
Finding the Sum Using a Diagram
Let's try to think what the [[Con
cept:Fraction|fraction]] 22 can represent. For example, let's take a cake and divide it into two equal parts. Notice that two out of these two halves make up a whole cake.
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Similarly, three parts of a cake divided into three equals parts also make a whole cake.
Together these two portions give 2 whole cakes. This is how we know that 22 + 33=2.
Finding the Sum Using Math
This time let's think about the value of each fraction. Recall that a number divided by itself always gives 1.
a ÷ a = 1
Fractions are one way of writing division. This means that a fraction with the same number in the numerator and denominator has a value of 1.
a ÷ a = 1 ⇔ a/a=1
As a result, 2 2 and 3 3 both have a value of 1. Using this fact, we can find their sum.
2/2 + 3/3 &= 1+1 [0.6em]
&= 2
