Expressing 3/4 as a rational number with a denominator of 5
Understanding Rational Numbers:
Rational numbers are numbers that can be expressed as the ratio of two integers. They can be written in the form of a/b, where 'a' and 'b' are integers and b is not equal to zero.

Converting 3/4 to a rational number with a denominator of 5
Step 1: Determine the equivalent fraction with the desired denominator
To convert 3/4 to a fraction with a denominator of 5, we need to multiply both the numerator and denominator by the same number. In this case, we want to convert the denominator 4 to 5. To do this, we can multiply both the numerator and denominator by 5.
Step 2: Perform the multiplication
3/4 x 5/5 = 15/20
Step 3: Simplify the fraction
To simplify the fraction further, we can divide both the numerator and denominator by their greatest common factor, which is 5.
15 ÷ 5 = 3
20 ÷ 5 = 4
Therefore, the rational number equivalent to 3/4 with a denominator of 5 is 3/4 = 3/5.
By following these steps, you can convert any fraction into a rational number with a specified denominator.