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 :

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:
[tex] \frac{3}{8} * \frac{7}{7}\ AND \ \frac{6}{7} * \frac{8}{8} [/tex]

[tex] \frac{21}{56}\ AND\ \frac{48}{56} [/tex]

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.

Answer:

D


Step-by-step explanation: