what is 0.4 converted to a fraction? the answer should be given in simplest form
0.4 converted to a fraction in simplest form is 2/5.
To convert 0.4 to a fraction, we can follow these steps:
Step 1: Write the decimal as a fraction by placing the decimal part over a denominator based on the number of decimal places. Since there is one decimal place, we can place 4 over 10.
0.4 = 4/10
Step 2: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of 4 and 10 is 2.
Simplifying the fraction 4/10 by dividing by 2:
4 ÷ 2 = 2
10 ÷ 2 = 5
So, 0.4 as a simplified fraction is 2/5.
To convert 0.4 to a fraction in simplest form, you can follow these steps:
Step 1: We know that 0.4 is equivalent to 4/10.
Step 2: Simplify the fraction. To do this, find the greatest common divisor (GCD) of the numerator and denominator, and then divide both the numerator and denominator by the GCD.
The GCD of 4 and 10 is 2. By dividing both the numerator and denominator by 2, we get:
4 ÷ 2 = 2
10 ÷ 2 = 5
Therefore, 0.4, when simplified, is equal to 2/5.
So, the answer is 2/5.