what is the ratio of 5 1/2 to 2 1/10 in the simplest form
Is this the same as
5 5/10 to 2 1/10
or
55/10 to 21/10
or
55/21 ?
To find the ratio of 5 1/2 to 2 1/10 in simplest form, we need to convert the mixed numbers to improper fractions, then divide the two fractions.
First, let's convert 5 1/2 to an improper fraction:
5 1/2 = (5 * 2 + 1) / 2 = 11/2
Next, let's convert 2 1/10 to an improper fraction:
2 1/10 = (2 * 10 + 1) / 10 = 21/10
Now, we can divide the two fractions:
(11/2) / (21/10)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(11/2) x (10/21)
Now, let's simplify the fraction by canceling out any common factors between the numerator and the denominator:
11 x 10 = 110
2 x 21 = 42
The simplified fraction is 110/42.
To further simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor:
The greatest common divisor of 110 and 42 is 2.
110 ÷ 2 = 55
42 ÷ 2 = 21
Therefore, the simplest form of the ratio 5 1/2 to 2 1/10 is 55/21.
To find the ratio of 5 1/2 to 2 1/10 in the simplest form, we need to convert the mixed numbers into improper fractions and then divide them. Here's how:
Step 1: Convert the mixed numbers into improper fractions.
5 1/2 = (5 * 2 + 1) / 2 = 11/2
2 1/10 = (2 * 10 + 1) / 10 = 21/10
Step 2: Divide the two fractions.
11/2 ÷ 21/10
To divide fractions, we need to multiply by the reciprocal of the second fraction.
11/2 * 10/21 = (11 * 10) / (2 * 21) = 110/42
Step 3: Simplify the fraction.
Find the greatest common divisor (GCD) of the numerator and denominator, which is 2.
Divide both the numerator and denominator by the GCD:
110/2 ÷ 42/2 = 55/21
So, the simplified ratio of 5 1/2 to 2 1/10 is 55/21.