Is 3 over 10 greater or less than 3 over 4?

Answer 1

Intuitively we know that 0.3 is less than 0.75. To prove it, we need to get common denominators for our fractions 3/10 and 3/4. Since both 10 and 4 divide equally into 20, I multiply each by a fraction that equals one, but syncs up the denominators as follows:

3/10 * 2/2 = 6/20

3/4 * 5/5 = 15/20

So we see that 3/4 [15/2] is more than twice 3/10 [6/20].