When we talk about fractions and division, we often use the terms "part" and "whole" quite often. For example, when we say "3 is 10 of what number," it means we want to know the whole number that 3 represents 10 parts of. So if 3 represents 10 parts of something, how many total parts would there be in the whole number? Let's solve this together with a little math.
Let's set up an equation to figure this out. Let "W" be the whole number we're trying to find. Since 3 is 10 of "W," we can write it as a fraction: 3/W. We know that 3/10 is equal to 0.3 in decimal form, so we can set up our equation like this:
[ \frac{3}{W} = \frac{3}{10} ]
Now, to solve for "W," we can multiply both sides of the equation by "W":
[ W \cdot \frac{3}{W} = W \cdot \frac{3}{10} ]
This simplifies to:
[ 3 = \frac{3W}{10} ]
Next, we can multiply both sides by 10 to get rid of the fraction on the right side:
[ 3 \cdot 10 = 3W ]
[ 30 = 3W ]
Finally, we divide both sides by 3 to solve for "W":
[ W = \frac{30}{3} ]
[ W = 10 ]
So, the whole number that 3 represents 10 parts of is called 10. When we talk about fractions, we can say that 3 is 10 of the whole number 10.
To learn more about fractions or how to solve similar problems, check out this tutorial or any other educational resource you prefer.
