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

Answer:

He should have multiplied by $\frac{3}{3}$ and not $\frac{1}{3}$

The fraction is greater than

Step-by-step explanation:

Given

$\frac{2}{3}\ \&\ \frac{5}{9}$

Sadi's steps are:

The common denominator is 9.

$\frac{2}{3} * \frac{1}{3} = \frac{2}{9}$

$\frac{2}{9} < \frac{5}{9}$

So:

$\frac{2}{3} < \frac{5}{9}$

Required

Sadi's error

Her first error is that: he should have multiplied by $\frac{3}{3}$ and not $\frac{1}{3}$

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

So, we have:

$\frac{2}{3} * \frac{3}{3} = \frac{6}{9}$

By comparison:

$\frac{6}{9} > \frac{5}{9}$

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

Answer 2

Answer:

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.

Step-by-step explanation:

Just did it on EDGE2021 and got it right :D