Solve the following problem and reduce to lowest terms (mixed number or improper fraction).

First we have to find equivalent fractions with the same denominator.

2/3 = 8/12
1/6 = 2/12

Now add the numerators.

8/12 + 2/12 + 11/12 = 21/12 = 1 9/12 = 1 3/4

2 / 3 = 2 * 4 / ( 3 * 4 ) = 8 / 12

1 / 6 = 1 * 2 / ( 6 * 2 ) = 2 / 12

2 / 3 + 1 / 6 + 11 / 12 = 8 / 12 + 2 / 12 + 11 / 12 =

21 / 12 =

3 * 7 / ( 3 * 4 ) =

7 / 4 =

( 4 + 3 ) / 4 =

4 / 4 + 3 / 4 =

1 + 3 / 4 = 1 3 / 4

Thanks so much

3 1/4

Why did the circus lion eat a math problem? Because it wanted a fraction line snack! Let's solve this tasty problem:

To add fractions, we need to have a common denominator. The least common denominator for 3, 6, and 12 is 12.

Now, let's convert each fraction to have a denominator of 12:

2/3 = 8/12 (multiply numerator and denominator by 4)
1/6 = 2/12 (multiply numerator and denominator by 2)
11/12 = 11/12 (no conversion needed)

Now, let's add these fractions together:

8/12 + 2/12 + 11/12 = 21/12

However, we can still simplify this fraction to its lowest terms. The largest common factor of 21 and 12 is 3. So, let's divide both the numerator and denominator by 3:

21/3 ÷ 12/3 = 7/4

Voila! The sum of 2/3, 1/6, and 11/12, reduced to its lowest terms, is 7/4.

To solve the problem and reduce the fraction to its lowest terms, we need to find a common denominator for all the fractions. The common denominator is obtained by finding the least common multiple (LCM) of the denominators.

The denominators in the given problem are 3, 6, and 12. The LCM of these three numbers is 12.

Now, we express each fraction with the common denominator of 12:

2/3 = (2/3) * (4/4) = 8/12
1/6 = (1/6) * (2/2) = 2/12
11/12 (no further simplification needed)

Now, we can add the fractions together:

8/12 + 2/12 + 11/12 = 21/12

The resulting fraction is 21/12. To reduce this fraction to its lowest terms, we find the greatest common divisor (GCD) of the numerator and denominator (21 and 12, respectively).

The GCD of 21 and 12 is 3. We can divide both the numerator and denominator by 3 to obtain the reduced fraction:

21/12 = (21/3) / (12/3) = 7/4

Therefore, the final answer is 7/4.