Math Expression: Multiply Fractions Practice

Multiply the fractions, ⁵/₆ and ³/₁₀. Give the answer in the simplest form.

Step 1

Let's write down these fractions:

$Multiply fractions, 5/6 with 3/10$
Step 2

First, we multiply the numerators (5 x 3). Next, multiply the denominators (6 x 10).

$Multiply the fractions (5 x 3)/(6 x 10)$
Step 3

Notice that, 5 and 10 can be divided with the common factor 5. This gives 1 and 2 respectively.
Step 4

Next, 3 and 6 can be divided with the common factor 3. This gives 1 and 2 respectively.
Step 5

Since there is no more common factor. We can continue with the multiplication.

$The final fraction, 1/4$
Step 6

Here, we have the resulting fraction as ¹/₄. Clearly, the answer is C.