Alright, my little mathematician! Let's tackle this problem together: 12/10 + 8/100. Sounds tricky, but we’ll break it down step by step like a fun puzzle!
First, let's look at the fractions. 12/10 means you have 12 pieces of something, but the whole is 10 pieces. To understand this better, think of a pizza. If a whole pizza is cut into 10 slices, and you have 12 slices, that means you have one whole pizza (which is 10 slices) and a little extra (2 slices). So really, 12/10 is like saying you have 1 and 2/10 of a pizza.
Now, what about 8/100? That sounds like a tiny piece of pizza! If a pizza were cut into 100 slices, and you have 8 slices, that’s a small part. It’s like if someone gave you a tiny slice of a large cake. So 8/100 is just that—8 little pieces out of 100.
Next, to add these two fractions, we need them to have the same 'denominator.' The denominator is just the bottom part of the fraction that tells us how many parts the whole is divided into. We can change 12/10 to have the same denominator as 8/100. To do this, we can multiply the top and bottom of the first fraction by 10. This gives us (12 * 10)/(10 * 10), which simplifies to 120/100.
Now we have both fractions with the same denominator! We can add them together: 120/100 + 8/100. That is like combining all the pizza slices! So if we add the top parts (numerators), we get (120 + 8)/100 = 128/100. We can even simplify it a bit more. Since 128 and 100 can be divided by 4, we can write it as 32/25. Looks like we’ve got a lot of math pizza going on here! And there you have it, my friend: 12/10 + 8/100 equals 32/25 or 1 and 7/25 pizzas!