Learn how to convert the mixed number -3 2/3 to a decimal with this step-by-step guide using relatable pizza analogy. Get a fun and easy explanation here!
Sure thing! Let's make understanding how to write -3 2/3 as a decimal an adventure. Imagine you have a yummy pizza pie that you are going to share with your friends. The whole pizza represents the number 1. When we cut it into 3 equal slices, each slice represents 1/3 of the pizza. If we eat 2 slices and then take away another 2/3 of a slice, we have removed a total of 2 2/3 slices from the pizza.
To write -3 2/3 as a decimal, we first need to understand that the negative sign (-) means we are subtracting this quantity. So, we start with 0 (our whole pizza) and then subtract 3 from it, leaving us with -3 whole slices. Next, we subtract 2/3 from what we have left. To convert the 2/3 to a decimal, we divide 2 by 3. This gives us 0.666666... which can be rounded to 0.67.
Therefore, -3 2/3 as a decimal is -3.67. Think of it like your pizza situation where you end up with 3 whole slices and a bit of another slice missing. You can say it as negative three point sixty-seven or -3.67. And that's how you write -3 2/3 as a decimal!
Remember, math is like solving puzzles, and by breaking down each step, you can easily convert fractions to decimals, just like slicing up a pizza!