Solve the following problem and reduce to lowest terms (mixed number or improper fraction).
2/3 + 1/6 +11/12
Change all to 12ths, then add.
Solve the fraction problem and reduce the answer to simplest form
85 5 8 - 29 7 8 =
To solve the problem, we need to find a common denominator for the fractions. The least common multiple (LCM) of 3, 6, and 12 is 12.
Converting the fractions to have a denominator of 12:
2/3 = (2/3) * (4/4) = 8/12
1/6 = (1/6) * (2/2) = 2/12
11/12 (already in terms of 12)
Now that all the fractions have a common denominator, we can add them together:
8/12 + 2/12 + 11/12 = (8 + 2 + 11)/12 = 21/12
To reduce the fraction to lowest terms, we can divide both the numerator and denominator by their greatest common divisor (GCD). The GCD of 21 and 12 is 3.
21/12 = (21/3)/(12/3) = 7/4
Therefore, the sum of 2/3, 1/6, and 11/12 is 7/4 (or 1 and 3/4 as a mixed number).
To solve the given problem and reduce the fractions to their lowest terms, follow these steps:
Step 1: Find a common denominator for all the fractions involved. In this case, the common denominator is 12, as it is divisible by all the denominators (3, 6, and 12).
Step 2: Convert each fraction to an equivalent fraction with the common denominator of 12.
For 2/3, multiply both the numerator and denominator by 4 to get 8/12.
For 1/6, multiply both the numerator and denominator by 2 to get 2/12.
For 11/12, no conversion is needed as the denominator is already 12.
Step 3: Add the numerators together and keep the common denominator.
8/12 + 2/12 + 11/12 = 21/12
Step 4: Rewrite the fraction as a mixed number if possible or reduce it to its lowest terms otherwise.
To reduce 21/12 to its lowest terms, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 3.
Dividing 21 by 3 gives 7, and dividing 12 by 3 gives 4.
Therefore, 21/12 reduces to the mixed number 1 7/12.
So, the solution to the problem, when reduced to its lowest terms, is 1 7/12.