solve 2/3 + 4/6
turn 4/6 into 2/3. then add the two. you get 4/3
2/3 + 4/6
2/3 + 2/3 = 4/6 = 1 2/3
To solve the expression 2/3 + 4/6, we need to find a common denominator for the fractions, which means finding the least common multiple (LCM) of 3 and 6.
First, let's list the multiples of 3: 3, 6, 9, 12, 15, 18, ...
Next, let's list the multiples of 6: 6, 12, 18, 24, 30, 36, ...
As you can see, the least common multiple of 3 and 6 is 6.
Now, let's convert both fractions to have a denominator of 6.
For the fraction 2/3, since 6 is the denominator we want, we need to multiply the numerator and denominator by 2 to get 4/6.
Similarly, for the fraction 4/6, since the denominator is already 6, we don't need to make any changes.
Now that both fractions have the same denominator, we can add them together:
4/6 + 4/6 = 8/6
But 8/6 is an improper fraction, meaning the numerator is greater than the denominator. To simplify it, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 2 in this case.
When we divide 8 by 2, we get 4. And when we divide 6 by 2, we get 3.
So, the simplified form of 8/6 is 4/3.
Therefore, 2/3 + 4/6 is equal to 4/3.