### Multiply Fractions Practice

#### Question 2

What is the resulting fraction when we multiply 2 1/3 with 3/4. Give the answer in the simplest form.

A. 2 3/4
B. 2 1/2
C. 1 3/4
D. 1 1/2

### Step by Step Solution

• #### Step 1

Let's write down these fractions:

• #### Step 2

Notice that 2 1/3 is a mixed fraction? We need to convert it into an improper fraction before we can multiply. This is shown below:

• #### Step 3

After the conversion, we have:

• #### Step 4

First, we multiply the numerators (7 x 3). This gives 21.

• #### Step 5

Next, we multiply the denominators (3 x 4) together. This gives 12. Hence, we have the fraction 21/12

• #### Step 6

Notice that 21/12 is an improper fraction? Rather than leaving the answer like this, it is better to change it into a mixed fraction:

• #### Step 7

Next, we can simplify 1 9/12, by dividing the numerator and denominator with 3. This gives the fraction, 1 3/4:

• #### Step 8

Here, we can no longer able to further simplify 1 3/4. Therefore, the answer is C.