Question

A number multiplied by 2/5 is 3/20

Answer 1

To find the number multiplied by 2/5 to get 3/20, set up a proportion and solve for the unknown number. The solution is 3/8.

Step-by-step explanation:

The question is asking to solve an algebraic equation where a number, when multiplied by 2/5, equals 3/20. To find the number, you can set up a proportion, which is an equation that states two ratios are equal. Let's call the unknown number 'x', so the proportion will be:

• (x * 2/5) = 3/20

Now, we solve for 'x' by dividing both sides of the equation by 2/5:

• x = (3/20) / (2/5)
• x = (3/20) * (5/2)
• x = 15/40
• x = 3/8

Therefore, the number that, when multiplied by 2/5, gives 3/20 is 3/8.

Answer 2

`x=(3)/(8)`

Step-by-step explanation:

A number multiplied by 2/5 is 3/20 is expressed like this:

`(2)/(5)x=(3)/(20)`

Now, we have to solve for
`x`. Remember that "a number" always represents the unknown letter.

`(2)/(5)x=(3)/(20)\\x=(3(5))/(20(2))=(15)/(40)=(3)/(8)`

So, the number is 3/8. Let's test it:

`(2)/(5)((3)/(8))=(3)/(20)`

`(6)/(40)=(3)/(20)`

`(3)/(20)=(3)/(20)`

As you can see, the number we found satisfies the expressions.

Therefore, the answer is

`x=(3)/(8)`