To add the numbers 3, 1/3, and 3 7/27, we need to convert the mixed number 3 7/27 into an improper fraction.
To convert 3 7/27 to an improper fraction, we multiply the whole number (3) by the denominator (27) and add the numerator (7), then write the result over the denominator.
3 * 27 = 81 81 + 7 = 88
So, 3 7/27 as an improper fraction is 88/27.
Now, let's add the numbers: 3 + 1/3 + 88/27
To add fractions, we need to have a common denominator. The least common multiple of 3 and 27 is 27.
First, we need to convert 3 to a fraction. 3 can be written as 3/1.
Now, we can proceed with adding the fractions: 3/1 + 1/3 + 88/27
To have a common denominator of 27, we need to multiply the first fraction by 27/27, the second fraction by 9/9, and the third fraction is already over 27.
(3/1) * (27/27) + (1/3) * (9/9) + 88/27
Now, we can add the fractions: 81/27 + 9/27 + 88/27
Adding the numerators together: (81 + 9 + 88)/27
Simplifying the numerator: 178/27
Therefore, the sum of 3, 1/3, and 3 7/27 is 178/27.
