A fifth-grade math class has 14 boys and 12 girls. Compare the number of girls to the number of boys using a ratio. Express the answer in the lowest terms.
To compare the number of girls to the number of boys using a ratio, we simply divide the number of girls by the number of boys.
Therefore, the ratio of girls to boys is 12/14.
To express this ratio in the lowest terms, we can divide both the numerator and denominator by their greatest common divisor, which is 2.
Dividing 12 by 2 results in 6, and dividing 14 by 2 results in 7.
Therefore, the ratio of girls to boys in lowest terms is 6/7.
To compare the number of girls to the number of boys using a ratio, we need to find the lowest common multiple (LCM) of the two numbers, 12 and 14. The LCM is the smallest number that both 12 and 14 can divide into evenly.
To find the LCM, we can list the multiples of each number until we find a common multiple.
For 12, the first few multiples are: 12, 24, 36, 48, 60, 72, ...
For 14, the first few multiples are: 14, 28, 42, 56, 70, 84, ...
From the lists, we can see that 84 is the smallest number that both 12 and 14 can divide into evenly. So, the LCM of 12 and 14 is 84.
To express the comparison between the number of girls and boys in the lowest terms, we need to divide both numbers by their greatest common divisor (GCD). The GCD is the largest number that can divide both 12 and 14 evenly.
To find the GCD of 12 and 14, we can list their common factors:
- For 12, the factors are: 1, 2, 3, 4, 6, 12
- For 14, the factors are: 1, 2, 7, 14
The greatest common divisor of 12 and 14 is 2.
To express the ratio of girls to boys in the lowest terms, we divide both numbers by 2:
- The number of girls becomes 12 ÷ 2 = 6
- The number of boys becomes 14 ÷ 2 = 7
Therefore, the ratio of girls to boys, expressed in lowest terms, is 6:7.
To compare the number of girls to the number of boys using a ratio, we need to find the lowest terms ratio between the two.
Step 1: Write the ratio using the number of girls to the number of boys.
Girls:Boys
Step 2: Find the lowest common factor between 14 and 12.
The factors of 14 are 1, 2, 7, and 14.
The factors of 12 are 1, 2, 3, 4, 6, and 12.
The lowest common factor is 2.
Step 3: Divide both numbers by the lowest common factor of 2.
14 divided by 2 = 7
12 divided by 2 = 6
Step 4: Write the ratio in the lowest terms.
Girls:Boys = 7:6
So, the ratio in the lowest terms is 7:6, which means there are 7 girls for every 6 boys in the class.