Question

Sadi wanted to compare the fractions 2 3 and 5 9 using common denominators. His work is shown below. The common denominator is 9. Two-thirds times one-third = two-ninths. Two-ninths less-than five-ninths. So, two-thirds is less-than five-ninths. What errors did Sadi make? Check all that apply. The common denominator is 6, not 9. He should have multiplied by, not . He should have gotten a common numerator, not a common denominator. The fraction is greater than , not less than

Answer 1

B. He should have multiplied 2/3 by 3/3 not 1/3

D. The fraction 2/3 is greater than 5/9, not less

than 5/9.

Explanation:

Just did it on EDGE2021 and got it right :D

Answer 2

He should have multiplied by
`(3)/(3)` and not
`(1)/(3)`

The fraction is greater than

Explanation:

Given

`(2)/(3)\ \&\ (5)/(9)`

Sadi's steps are:

The common denominator is 9.

`(2)/(3) * (1)/(3) = (2)/(9)`

`(2)/(9) < (5)/(9)`

So:

`(2)/(3) < (5)/(9)`

Required

Sadi's error

Her first error is that: he should have multiplied by
`(3)/(3)` and not
`(1)/(3)`

This is so because, whatever factor is multiplied to the numerator has to be multiplied to the denominator, as well.

So, we have:

`(2)/(3) * (3)/(3) = (6)/(9)`

By comparison:

`(6)/(9) > (5)/(9)`

So, his second error is that: the fraction is greater than