15 1/36 - 1 1/9+3 1/3
The common denominator is 36
1 1/9 = 1 4/36
3 1/3 = 3 12/36
Take it from there.
17 1/4
To solve the given expression: 15 1/36 - 1 1/9 + 3 1/3, we need to simplify the mixed numbers and then perform the subtraction and addition.
Let's start by converting the mixed numbers into improper fractions.
15 1/36 can be written as (15 * 36 + 1)/36 = 541/36.
1 1/9 can be written as (1 * 9 + 1)/9 = 10/9.
3 1/3 can be written as (3 * 3 + 1)/3 = 10/3.
Now that we have converted all the mixed numbers into improper fractions, we can proceed to solve the expression:
541/36 - 10/9 + 10/3
To add or subtract fractions, we need to have a common denominator.
The common denominator for 36, 9, and 3 is 36. Therefore, we need to convert all the fractions in terms of the denominator 36.
541/36 - 10/9 + 10/3 can be rewritten as:
(541/36) - (10/9) + (120/36)
Now, we can add or subtract the numerators and keep the common denominator:
(541 - 120)/36 - (10 * 4)/36 + (120/36)
(541 - 120)/36 - 40/36 + 120/36
Now, combine the numerators:
(541 - 120 - 40 + 120)/36
(541 - 40)/36
501/36
The final answer is in the form of an improper fraction. To simplify this fraction, we can find the greatest common divisor (GCD) of the numerator and denominator, which is 9. Dividing both the numerator and denominator by 9:
501/36 = (501 ÷ 9)/(36 ÷ 9)
501/36 = 55/4
Therefore, 15 1/36 - 1 1/9 + 3 1/3 is equal to 55/4.