Add. Express the answer in simplest form. 22/3 45/12
To add the fractions 22/3 and 45/12 and express the answer in simplest form, you can follow these steps:
Step 1: Find a common denominator for the two fractions.
The denominators are 3 and 12. To find a common denominator, you can find the least common multiple (LCM) of these two numbers. In this case, the LCM of 3 and 12 is 12.
Step 2: Rewrite the fractions with the common denominator.
To do this, you need to multiply both the numerator and denominator of each fraction by a factor that will result in the denominator being 12.
For the fraction 22/3, multiply both the numerator and denominator by 4:
(22/3) * (4/4) = 88/12
For the fraction 45/12, no further action is needed since the denominator is already 12.
Step 3: Add the fractions together.
Now that both fractions have the same denominator, you can simply add the numerators together to find the numerator of the sum:
88/12 + 45/12 = (88 + 45)/12 = 133/12
Step 4: Simplify the fraction, if possible.
In this case, the fraction 133/12 cannot be simplified further because 133 and 12 have no common factors other than 1. Therefore, the simplest form of the sum of 22/3 and 45/12 is 133/12.