Question

Roxy is multiplying 1/8 by 4/3 . Use the drop-down menu to complete the statement.

THIS IS THE ANSWER CHOICE...

the product 1/8 times 4/3 is (greater than/less than) 1/8

Answer 1

The product 1/8 times 4/3 is greater than 1/8.

Explanation:

We need to check whether the product of 1/8 and 4/3 is greater than or less than 1/8.

First find the product of 1/8 and 4/3.

`Product=(1)/(8)* (4)/(3)`

`Product=(1* 4)/(8* 3)`

`Product=(4)/(24)`

`Product=(1)/(6)`

We have to check 1/6 is more than or less that 1/8.

Make denominator common we get

`(1)/(6)=(1* 8)/(6* 8)=(8)/(48)`

`(1)/(8)=(1* 6)/(8* 6)=(6)/(48)`

So, we conclude that

`(1)/(6)>(1)/(8)`

It means

`(1)/(8)* (4)/(3)>(1)/(8)`

Therefore, the product 1/8 times 4/3 is greater than 1/8.

Answer 2

The product of
`(1)/(8) * (4)/(3)` is greater than
`(1)/(8)`.

Explanation:

Given Roxy is multiplying numbers
`(1)/(8)` by
`(4)/(3)`

`\Rightarrow (1)/(8) * (4)/(3)=(1)/(6)`

we have to find out which fraction is greater
`(1)/(6)` or
`(1)/(8)`

Comparing the two fractions,

Step 1) Find the least common denominator or LCM of the two denominators:

LCM of 6 and 8 is 24

Step 2) For the 1st fraction, since 6 × 4 = 24,

`(1)/(6)=(1 * 4)/(6 * 4)=(4)/(24)`

Step 3) for the 2nd fraction, since 8 × 3 = 24,

`(1)/(8)=(1 * 3)/(8 * 3)=(3)/(24)`

Step 4) Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction.

Thus,
`(4)/(24)>(3)/(24)`

`\Rightarrow (1)/(6)>(1)/(8)`

Thus, the product of
`(1)/(8) * (4)/(3)>(1)/(8)`.