Question

Add, answer as a mixed number in simplest form.
1, 1/4 + 1, 1/3 = [__], [__]/[__]
Enter the whole number.

Answer 1

To add \(1 \frac{1}{4}\) and \(1 \frac{1}{3}\), we first convert the mixed numbers to improper fractions.

1. Convert \(1 \frac{1}{4}\) to an improper fraction:
\[
1 \frac{1}{4} = 1 \times 4 + 1 = 4 + 1 = 5 \quad \text{So, } 1 \frac{1}{4} = \frac{5}{4}
\]

2. Convert \(1 \frac{1}{3}\) to an improper fraction:
\[
1 \frac{1}{3} = 1 \times 3 + 1 = 3 + 1 = 4 \quad \text{So, } 1 \frac{1}{3} = \frac{4}{3}
\]

Now, we need to add \(\frac{5}{4}\) and \(\frac{4}{3}\). To do this, we need a common denominator.

The least common multiple of 4 and 3 is 12. We convert both fractions to have a denominator of 12:

- Convert \(\frac{5}{4}\):
\[
\frac{5}{4} = \frac{5 \times 3}{4 \times 3} = \frac{15}{12}
\]

- Convert \(\frac{4}{3}\):
\[
\frac{4}{3} = \frac{4 \times 4}{3 \times 4} = \frac{16}{12}
\]

Now we add the two fractions:
\[
\frac{15}{12} + \frac{16}{12} = \frac{15 + 16}{12} = \frac{31}{12}
\]

Next, we convert \(\frac{31}{12}\) back into a mixed number:
- Divide 31 by 12. The quotient is 2 and the remainder is 7.
- Thus, we have \(2\) as the whole number and \(\frac{7}{12}\) as the fractional part.

So, \(1 \frac{1}{4} + 1 \frac{1}{3} = 2 \frac{7}{12}\).

We write the final answer as follows:
- Whole number: **2**
- Fraction: **7/12**. Thus, the answer is:

**2, 7/12**