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Convert 0.72 to a rational number in simplest form
To convert 0.72 to a rational number, we can write it as a fraction with a denominator of 100. Since 0.72 is equivalent to 72/100, the simplest form of this fraction can be found by dividing both the numerator (72) and the denominator (100) by their greatest common divisor (GCD), which is 4.
Dividing both 72 and 100 by 4, we get:
72 ÷ 4 = 18
100 ÷ 4 = 25
Therefore, 0.72 as a rational number in simplest form is 18/25.
To convert 0.72 to a rational number in simplest form, we can follow these steps:
Step 1: Let's represent 0.72 as a fraction by placing it over 1.
0.72/1
Step 2: Since there are two decimal places, multiply both the numerator and denominator by 100 (10^2) to remove the decimal.
(0.72 × 100) / (1 × 100)
72 / 100
Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 72 and 100 is 4.
(72 ÷ 4) / (100 ÷ 4)
18 / 25
So, 0.72 as a rational number in simplest form is 18/25.