Question

How do you multiply fractions Ex: 1 2/5 • 4/8

Answer 1

Step-by-step explanation

Given:

`1(2)/(5)\cdot(4)/(8)`

To multiply the above given, we first convert 1 2/5 to improper fraction using the rule:

`a(b)/(c)=(ac+b)/(c)`

So,

`\begin{gathered} 1(2)/(5)\cdot(4)/(8)=(1(5)+2)/(5)\cdot(4)/(8) \\ Simplify \\ =(7)/(5)\cdot(4)/(8) \\ \end{gathered}`

Next, we use the rule:

`(a)/(b)\cdot(c)/(d)=(ac)/(bd)`

Hence,

`\begin{gathered} (7)/(5)\cdot(4)/(8)=((7)(4))/((5)(8)) \\ Simplify \\ =(28)/(40) \\ =(7)/(10) \end{gathered}`

Therefore, the answer is 7/10.