write the ratio as a fraction in simplest form
5/4 to 2/3
(5/4) / (2/3) = 5/4 * 3/2 = 15/8
To write the ratio 5/4 to 2/3 as a fraction in simplest form, you can follow these steps:
Step 1: Write the ratio as a fraction:
5/4 : 2/3
Step 2: Multiply the numerators together and the denominators together:
(5 * 3) / (4 * 2)
Step 3: Simplify the fraction:
15/8
So, the ratio 5/4 to 2/3 as a fraction in simplest form is 15/8.
To express the ratio 5/4 to 2/3 as a fraction in simplest form, we need to find a common denominator for the two fractions.
The common denominator is the least common multiple (LCM) of the two denominators, which in this case is 12.
Now, let's convert both fractions to have a denominator of 12.
For the first fraction, 5/4, we multiply both the numerator and denominator by 3:
(5/4) * (3/3) = 15/12
For the second fraction, 2/3, we multiply both the numerator and denominator by 4:
(2/3) * (4/4) = 8/12
So, the ratio 5/4 to 2/3 can be written as 15/12 to 8/12.
To simplify the fraction, we can divide the numerator and denominator of both fractions by their greatest common divisor (GCD). In this case, the GCD of 15 and 12 is 3, and the GCD of 8 and 12 is 4.
Simplifying the fractions:
(15/3) / (12/3) = 5/4
(8/4) / (12/4) = 2/3
Therefore, the ratio 5/4 to 2/3, expressed as a fraction in simplest form, is 5/4 to 2/3.