Question

How does 3/8 x 4/9 is 3 groups of 4/9, divided into 8 equal parts describe 3/8 x 4/9?

Answer 1

`\frac { 3 }{ 8 }` times
`\frac { 4 }{ 9 }` ,


`\frac { 3 }{ 8 } \cdot \frac { 4 }{ 9 } =\frac { 12 }{ 72 }`

3 groups of 4/9 means , 3 times 4/9


`3\cdot \frac { 4 }{ 9 } =\frac { 3\cdot 4 }{ 9 } =\frac { 12 }{ 9 }`

Now let's divide this divide by 8.


`\frac { \frac { 12 }{ 9 } }{ 8 } =\frac { 12 }{ 9 } \cdot \frac { 1 }{ 8 } =\frac { 12\cdot 1 }{ 9\cdot 8 } =\frac { 12 }{ 72 }`

As you can see when we divided 3 groups of 4/9 we got the same result as 3/8 x 4/9