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In the population of a particular country, the male-to-female ratio is 46 to 54. Write this ratio as a fraction in simplest form.
46/54
= 23/27 , just divide both top and bottom by 2, the HCF
Well, that's quite a gender imbalance! It seems like the country needs to add a little more... balance! *ba dum tss*
To write the male-to-female ratio as a fraction in simplest form, we can divide both the numerator and the denominator by their greatest common divisor, which is 2.
So, the simplified fraction would be:
46 ÷ 2 : 54 ÷ 2
23 : 27
Therefore, the simplest form of the male-to-female ratio is 23/27.
To write the male-to-female ratio as a fraction in simplest form, we need to find the greatest common divisor (GCD) of the numerator and the denominator, and then divide both the numerator and the denominator by the GCD.
The GCD of 46 and 54 is 2, so we can divide both the numerator and the denominator by 2:
46 ÷ 2 = 23
54 ÷ 2 = 27
Therefore, the male-to-female ratio 46 to 54 can be written as the fraction 23/27 in simplest form.
To write the given male-to-female ratio as a fraction in simplest form, we need to find the greatest common divisor (GCD) of the two numbers, 46 and 54, and divide both numbers by this GCD.
To find the GCD of 46 and 54, we can use the Euclidean algorithm. This algorithm involves dividing the larger number by the smaller number and then finding the remainder. We repeat this process until we reach a remainder of 0.
Start:
54 ÷ 46 = 1 remainder 8
Step 1:
46 ÷ 8 = 5 remainder 6
Step 2:
8 ÷ 6 = 1 remainder 2
Step 3:
6 ÷ 2 = 3 remainder 0
Since the remainder eventually reaches 0, we know that the GCD of 46 and 54 is 2.
Now, divide both the numerator and denominator of the ratio (46 and 54) by the GCD of 2:
46 ÷ 2 = 23
54 ÷ 2 = 27
Therefore, the male-to-female ratio of 46 to 54, written as a fraction in simplest form, is 23/27.