2 7/12 + 1 2/3 =

Give answer in simplest form

3 + 7/12 + 8/12 = 3 15/12 = 4 3/12 = 4 1/4

2 7/12 + 1 8/12

= 10 15/12
= 11 3/12
= 11 1/4

2 7/12 + 1 8/12

= 3 15/12
= 4 3/12
= 4 1/4

To add mixed numbers, we follow these steps:

Step 1: Convert the mixed numbers to improper fractions.
To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator to get the new numerator. The denominator remains the same.

For example:
2 7/12 as an improper fraction is calculated as follows:
2 x 12 + 7 = 24 + 7 = 31
The improper fraction is 31/12.

Similarly, 1 2/3 as an improper fraction is calculated as follows:
1 x 3 + 2 = 3 + 2 = 5
The improper fraction is 5/3.

Step 2: Add the improper fractions.
To add fractions, we need to have a common denominator. In this case, since the denominators are already different (12 and 3), we need to find the least common multiple (LCM) of 12 and 3, which is 12.

Now, we need to convert both fractions to have a denominator of 12:

31/12 is already in terms of 12.
For 5/3, multiply both the numerator and denominator by 4 to get a denominator of 12:
(5 x 4)/(3 x 4) = 20/12.

Now we can add the fractions:
31/12 + 20/12 = (31 + 20)/12 = 51/12.

Step 3: Simplify the fraction.
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by it.

In this case, the GCD of 51 and 12 is 3:
51 ÷ 3 = 17
12 ÷ 3 = 4

Therefore, the simplest form of the fraction is 17/4.

So, 2 7/12 + 1 2/3 = 17/4.