2 3/4 + 1/12 =
Give answer in its simplest form
17/6
2 3/4 + 1/12 =
The common denominator is 12.
2 9/12 + 1/12 = 2 10/12 = 2 5/6
To find the sum of 2 3/4 and 1/12, we need to convert the mixed number 2 3/4 into an improper fraction. Here's how:
1. Multiply the whole number (2) by the denominator (4), and then add the numerator (3). In this case, (2 × 4) + 3 = 8 + 3 = 11.
2. Write the result (11) as the new numerator, and keep the denominator (4). The improper fraction equivalent of 2 3/4 is 11/4.
Now that we have converted the mixed number into an improper fraction, we can add 11/4 and 1/12:
11/4 + 1/12 = (11 × 3)/(4 × 3) + 1/12 = 33/12 + 1/12 = 34/12.
To simplify the fraction further, we need to find a common factor of the numerator and denominator and divide them by that factor. In this case, both 34 and 12 can be divided by 2:
34 ÷ 2 = 17,
12 ÷ 2 = 6.
So the simplified form of 34/12 is 17/6.
Therefore, 2 3/4 + 1/12 = 17/6 in its simplest form.