compare the ratios 7:9 and 4:6 .
To compare the ratios, we can simplify them by dividing both sides of each ratio by their greatest common divisor.
The greatest common divisor of 7 and 9 is 1, so the simplified form of 7:9 is 7:9.
The greatest common divisor of 4 and 6 is 2, so the simplified form of 4:6 is 2:3.
Now, we can compare the two simplified ratios: 7:9 and 2:3.
Since the first ratio, 7:9, has a larger first number and a larger second number compared to the second ratio, 2:3, we can conclude that 7:9 is greater than 4:6.
To compare the ratios 7:9 and 4:6, we need to find their equivalent fractions first.
For the ratio 7:9, the equivalent fraction is 7/9.
For the ratio 4:6, we can simplify it by dividing both the numerator and denominator by 2: 4/2 : 6/2 = 2:3.
Now that we have 7/9 and 2/3, we can compare them by finding a common denominator.
The common denominator for 9 and 3 is 9, so we can convert 2/3 to an equivalent fraction with a denominator of 9: (2/3) x (3/3) = 6/9.
Now, we have 7/9 and 6/9. By comparing their numerators, we can see that 7 is greater than 6.
Therefore, the ratio 7:9 is greater than the ratio 4:6.
To compare ratios, we need to determine which one is greater or if they are equal.
The given ratios are 7:9 and 4:6.
To compare these ratios, we can use cross multiplication. Cross multiplication involves multiplying the first number of each ratio with the second number of the other ratio.
For the ratio 7:9, the cross product is 7 * 6 = 42.
For the ratio 4:6, the cross product is 4 * 9 = 36.
Now, we compare the cross products:
42 is greater than 36.
Therefore, we can conclude that the ratio 7:9 is greater than the ratio 4:6.