Question

Dale says the ratios 3:5 and 2:10 are equivalent. Is He correct? Explain

Answer 1

No, Dale Isn't correct because 3:5 is greater than 2:10

Explanation:

3:5 and 2:10 is the same as in
`(3)/(5)` and
`(2)/(10)`

First Find the least common denominator or LCM of the two denominators:

LCM of 5 and 10 is 10

Next, find the equivalent fraction of both fractional numbers with denominator 10

For the 1st fraction, since 5 × 2 = 10,

`(3)/(5) =(3*2)/(5*2) =(6)/(10)`

Likewise, for the 2nd fraction, since 10 × 1 = 10,

`(2)/(10) =(2*1)/(10*1) =(2)/(10)`

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

`(6)/(10) >(2)/(10) Or(3)/(5) >(2)/(10)`

Hence,
`(3)/(5)` is Greater than
`(2)/(10)`

Hence, 3:5 is Greater than 2:10