Math Expression: Multiply Fractions Practice

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

Step 1

Let's write down these fractions:

$Multiply fractions,2 1/3 with 3/4$
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:

$Convert 2 1/3 to improper fraction$
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:

$Convert 21/12 to mixed fraction$
Step 7

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

$Simplify the fraction, 1 9/12$
Step 8

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