A class is attended by 20 girls and 24 boys. Write the ratio of boys to girls in the class in lowest terms.
6:5 is this right
Yes, that is correct.
Solution:
We can simplify the ratio 24 : 20 by dividing both terms by the greatest common factor (GCF).
The GCF of 24 and 20 is 4.
Divide both terms by 4.
24 ÷ 4 = 6
20 ÷ 4 = 5
Therefore:
24 : 20 = 6 : 5
To find the ratio of boys to girls in the class, we need to divide the number of boys by the number of girls.
Number of boys: 24
Number of girls: 20
To simplify the ratio to its lowest terms, we divide both numbers by their greatest common divisor (GCD).
Finding the GCD of 24 and 20:
24: 1, 2, 3, 4, 6, 8, 12, 24
20: 1, 2, 4, 5, 10, 20
The greatest common divisor of 24 and 20 is 4.
Dividing both numbers by 4:
24 ÷ 4 = 6
20 ÷ 4 = 5
So the simplified ratio of boys to girls in the class is 6:5.
To find the ratio of boys to girls in the class, we need to divide the number of boys by the number of girls. In this case, there are 24 boys and 20 girls.
So, the ratio of boys to girls can be written as 24:20.
To simplify this ratio to its lowest terms, we can divide both numbers by their greatest common divisor (GCD), which is 4 in this case.
Dividing 24 by 4 gives us 6, and dividing 20 by 4 gives us 5.
Therefore, the simplified ratio of boys to girls in the class is 6:5, and you are correct.