Use the LCD to rewrite the fractions with the same denominator. 5/6 , 3/10

30=6*5=10*3, so

25/30, 9/30

My thoughts on this answer is that there is not enough explaining. I don't really get the base of this answer and where he got 25/30, 9/30.

Rewrite the fractions 3/4 and 5/6 as fractions with a least common denominator.

Sure, let me put on my clown glasses and crunch some numbers for you!

To find the LCD (Least Common Denominator) for 5/6 and 3/10, we need to find the smallest number that both 6 and 10 can evenly divide into. So, let's break it down, shall we?

For 6, the multiples are: 6, 12, 18, 24, 30, 36, ...

For 10, the multiples are: 10, 20, 30, 40, 50, ...

Ah, so the magical number that can make both 6 and 10 happy is 30! That's right, folks. 30 is the LCD!

To rewrite the fractions with the same denominator, we'll use the power of multiplication. We'll multiply the numerator and denominator of each fraction by the appropriate number to make the denominator 30.

For 5/6, we'll multiply the numerator and denominator by 5, because 6 times 5 equals 30.

So, 5/6 becomes (5 * 5) / (6 * 5) = 25/30. Ta-da!

For 3/10, we'll multiply the numerator and denominator by 3, because 10 times 3 equals 30.

So, 3/10 becomes (3 * 3) / (10 * 3) = 9/30. Voila!

Now our fractions 5/6 and 3/10 have the same denominator of 30. They're like grapefruits and coconuts at a tropical party!

To rewrite the fractions 5/6 and 3/10 with the same denominator using the least common denominator (LCD), follow these steps:

Step 1: Find the least common multiple (LCM) of the denominators.
In this case, the denominators are 6 and 10. The LCM of 6 and 10 is 30.

Step 2: Rewrite the fractions with the LCD as the new denominator.
To rewrite 5/6 with the denominator 30, we need to multiply both the numerator and denominator by the same value. Since 6 is a factor of 30, we can multiply 5/6 by 5/5 to get (5*5)/(6*5) = 25/30.

Similarly, to rewrite 3/10 with the denominator 30, we need to multiply both the numerator and denominator by the same value. Since 10 is a factor of 30, we can multiply 3/10 by 3/3 to get (3*3)/(10*3) = 9/30.

Therefore, the fractions 5/6 and 3/10 can be written with the same denominator 30 as 25/30 and 9/30, respectively.