Question

Answer the following questions: 2/3 is what percent of 1/6 ? 0.2 is what percent of 1 3/5 ?

Answer 1

a. 4 %

b. 0.125%

Explanation:

Let the missing percent be 'x'

`x \: * \: (1)/(6) = (2)/(3)`

Use the commutative property to reorder the terms

`(1)/(6) x = (2)/(3)`

Multiply both sides of the equation by 6

`(1)/(6) x * 6 = (2)/(3) * 6`

Calculate

`x = 4 \:` %

b.
`x \: * 1 (3)/(5) = 0.2`

Convert the mixed number into improper fraction

`x * (8)/(5) = 0.2`

Use the commutative property to reorder the terms

`(8)/(5) x = 0.2`

Multiply both sides of the equation by
`(5)/(8)`

`(8)/(5) x * (5)/(8) = 0.2 * (5)/(8)`

Calculate

`x = 0.125 \:` %

Hope this helps..

Best regards!!

Answer 2

1) 2/3 is 400% of 1/6

2) 0.2 is 12.5% of 1 3/5

Explanation:

1) First, let's switch these two fractions to a low common denominator. I used sixths, and got 4/6 and 1/6. then, noticing that 4/6 is 4x bigger than 1/6, and 100% means all of the 1/6, and 4/6 is 4x that, 4x 100% is 400%, that's the answer ;-)

2) First, let's convert these both to fractions, 1/5 and 1 3/5, which converts to 8/5. 8/5 is 8x as much as 1/5, which means that it is 12.5%

hope this helps and gives a clear answer!