convert 0.75 to a rational number in simplest form
To convert 0.75 to a rational number in simplest form, we can follow these steps:
1. Let x be the rational number we want to find. We can represent x as x/1.
2. Multiply both the numerator and denominator by 100 to remove the decimal: (x/1) * (100/100) = 100x/100.
3. Simplify the fraction: 100x/100 = x.
4. Set x equal to 0.75: x = 0.75.
5. Therefore, the rational number in simplest form is 0.75, which is the same as 3/4.
To convert 0.75 to a rational number in simplest form, we can follow these steps:
Step 1: Write down the given decimal number as a fraction.
0.75 can be written as 75/100.
Step 2: Simplify the fraction.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 75 and 100 is 25.
75 ÷ 25 = 3
100 ÷ 25 = 4
So, 75/100 simplifies to 3/4.
Therefore, the rational representation of 0.75 in simplest form is 3/4.
To convert a decimal number to a rational number in simplest form, follow these steps:
Step 1: Write the decimal number as a fraction, where the decimal part is the numerator and the denominator is a power of 10 corresponding to the number of decimal places.
For 0.75, there are two decimal places, so the fraction can be written as:
0.75 = 75/100
Step 2: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
In this case, the GCD of 75 and 100 is 25, so divide both the numerator and denominator by 25:
75 ÷ 25 = 3
100 ÷ 25 = 4
So, 0.75 in simplest form as a rational number is 3/4.