I don't get what the problem is asking?
"Which of the following shows the next step using the least common denominator simplify 7/8 - 5/6?"
there's 4 answers,
A. (7/8 x 3/3) - (5/6 x 4/4)
B. (7/8 x 4/4) - (5/6 x 3/3)
C. (7/8 x 5/5) - (5/6 x 7/7)
d. (7/8 x 7/7) - (5/6 x 5/5)
I don't get how this is using the least common denominator?
To understand how the problem is using the least common denominator, let's first review the concept of the least common denominator (LCD).
The least common denominator is the smallest multiple that two or more denominators have in common. In this case, we have fractions with denominators of 8 and 6. The least common multiple of 8 and 6 is 24.
Now let's look at the answer choices:
A. (7/8 x 3/3) - (5/6 x 4/4)
B. (7/8 x 4/4) - (5/6 x 3/3)
C. (7/8 x 5/5) - (5/6 x 7/7)
D. (7/8 x 7/7) - (5/6 x 5/5)
To simplify each fraction using the least common denominator, we need to write each fraction with the common denominator of 24.
A. (7/8 x 3/3) - (5/6 x 4/4)
Multiplying 7/8 by 3/3 gives us (21/24), and multiplying 5/6 by 4/4 gives us (20/24).
B. (7/8 x 4/4) - (5/6 x 3/3)
Multiplying 7/8 by 4/4 gives us (28/32), and multiplying 5/6 by 3/3 gives us (15/18).
C. (7/8 x 5/5) - (5/6 x 7/7)
Multiplying 7/8 by 5/5 gives us (35/40), and multiplying 5/6 by 7/7 gives us (35/42).
D. (7/8 x 7/7) - (5/6 x 5/5)
Multiplying 7/8 by 7/7 gives us (49/56), and multiplying 5/6 by 5/5 gives us (25/30).
From the above calculations, we can see that option A is the correct choice because it represents the fractions with a common denominator of 24, which is the least common denominator of 8 and 6.