Question

How do you solve 8/21 plus 7/10 with greatest common factor or least common multiple?

Answer 1

227/210

Step-by-step explanation:

First, we need to find the least common multiple between 21 and 10, so:

multiples of 21: 21, 42, 63, 84, 105, 126, 147, 168, 189, 210,...

multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210,...

Therefore, the minimum multiple is 210.

Now, to add the fractions, we need to rewrite the fractions as follows:

`\begin{gathered} (8)/(21)=(8*10)/(21*10)=(80)/(210) \\ (7)/(10)=(7*21)/(10*21)=(147)/(210) \end{gathered}`

Finally, we can add the numerators of the fractions to get:

`(80)/(210)+(147)/(210)=(80+147)/(210)=(227)/(210)`

Therefore, the answer is 227/210