Question

QUICK!

Lucy is trying to find a rational number between 3 \8
and 6 \7
. What would help her to find this number?

A)Divide 3\ 8 by 6\ 7
.
B)
Convert 3 \8 and 6\ 7 to fractions with a common denominator.

C)
Find a common numerator and multiply the denominators by this number.
Eliminate

D)
Find a number between 3 and 6 to get the numerator and add 8 and 7 for the denominator.

Answer 1

D

Explanation:

Answer 2

So,

In order to find numbers that are in between 3/8 and 6/7, Lucy must make common denominators first.

LCM of 8 and 7: 56

Multiply each fraction by the appropriate form of 1:

`(3)/(8) * (7)/(7)\ AND \ (6)/(7) * (8)/(8)`


`(21)/(56)\ AND\ (48)/(56)`

We can immediately see that any fraction with a numerator between 21 and 48 and a denominator of 56 will fit into the criteria Lucy needs.

The correct option is B.