Question

3 x 7/9 = 21/27? is it correct? Explain why?

Answer 1

Answer:

it is not correct because

$3 \times \frac{7}{9}$

is like saying

$\frac{3}{1} \times \frac{7}{9}$

which would be

$\frac{21}{9}$

but since it is an improper fraction you have to change it to a mixed fraction which would be

$2\frac{3}{9}$

which can be simplified to

$2\frac{1}{3}$

Step-by-step explanation:

hope this was helpful

Answer 2

No: first of all, 21/27 is equivalent to 7/9, because you multipied both numerator and denominator by 3.

Secondly, you may write 3 as 3/1, and by doing so it should be clear that you have to multiply numerators and numerator among themselves:

$3\cdot \dfrac{7}{9}=\dfrac{3}{1}\cdot \dfrac{7}{9}=\dfrac{3\cdot 7}{9\cdot 1}=\dfrac{21}{9}=\dfrac{7}{3}$