Which ratio is greater than 5/8?
Mathematics · High School · Thu Feb 04 2021
Answered on
To determine which ratio is greater than 5/8, we need to compare the given ratio to 5/8. If the ratio in question results in a number larger than 5/8 when simplified, then it is greater.
Let's first convert 5/8 to decimal form for easier comparison:
5 divided by 8 equals 0.625.
Now, we'll compare this decimal with other ratios. Let's say, for instance, we want to compare it with 3/4:
3 divided by 4 equals 0.75.
Since 0.75 is greater than 0.625, the ratio 3/4 is greater than 5/8.
Another way to compare ratios without converting to decimal is to cross-multiply. For example, to compare 5/8 and X/Y where X and Y are positive numbers, we can multiply the numerator of one ratio by the denominator of the other and vice versa:
5 * Y and X * 8
If (5 * Y) is greater than (X * 8), then the ratio X/Y is greater than 5/8.