Question

What is the product of 4/15 and 3/8?

Answer 1

Hi there.

`= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = =`

What we should do here is multiply the fractions. We know this information because it says in our problem - "the product".

.

If ever we come across the word "the product of" in any mathematics problems, we should know that the operation we should use is "multiplication".

.

.

This is how we multiply fractions:

.

First, we check: Is there any way we can reduce the fractions?

.

.

We cannot divide the top and bottom of these two fractions by the same number, but there is some reducing that can be done:

.

.

Notice that 4 and 8 have a common factor - 2.

.

Since 4 and 8 have a 2 in common, we divide 8 and 4 by 2:

.

`\bf{\displaystyle(4)/(15) *(3)/(8)}`

.

`\bf{\displaystyle(1)/(15) *(3)/(2)}`

.

.

Now, 15 and 3 also have a common factor - 3:

.

`\bf{\displaystyle(1)/(5) *(1)/(2)}`

.

.

What we should do now is multiply 1 by 1 and 5 times 2:

.

`\bf{\displaystyle(1)/(10)}`

.

I hope that this helps clear your doubts; if any are left, please ask.

.

I wish you a nice rest of your day.

.

`\bf{W}\sf{r}\bf{i}\sf{t}\bf{i}\bf{n}\sf{g}\:\bf{A\:\sf{L}\bf{e}\sf{t}\bf{t}\sf{e}\bf{r}.`

--

Answer 2

`\huge\text{Hey there!}`

`\huge\textbf{What does \boxed{product} mean?}`

`\bullet\large\text{ Product simply means multiplication/multiply}`

`\huge\textbf{So, what are we doing in the equation?}`

`\bullet\large\text{ We are multiplying! :)}`

`\huge\textbf{What should our equation look like?}`

`\rm{(4)/(15)*(3)/(8)}`

`\huge\textbf{What are the steps?}`

`\mathsf{(4)/(15)*(3)/(8)}`

`\mathsf{= (4* 3)/(15* 8)}`

`\mathsf{= (12)/(120)}`

`\mathsf{= (12/2)/(120/2)}`

`\mathsf{= (6)/(60)}`

`\mathsf{= (6/3)/(60/3)}`

`\mathsf{= (2)/(20)}`

`\mathsf{= (2/2)/(20/2)}`

`\mathsf{= (1)/(10)}`

`\huge\textbf{What is your answer to the question?}`

`\huge\boxed{\mathsf{(1)/(10)}}\huge\checkmark`

~
`\frak{Amphitrite1040:)}`