Convert 0.4 to a simplified fraction.(1 point) Responses 45 Start Fraction 4 over 5 End Fraction 14 Start Fraction 1 over 4 End Fraction 25 Start Fraction 2 over 5 End Fraction 15
The correct response is: Start Fraction 2 over 5 End Fraction
To convert 0.4 to a simplified fraction, we need to write it in the form of a fraction where the numerator is an integer and the denominator is a non-zero integer.
Step 1: We can start by writing the decimal as a fraction by placing the decimal number as the numerator and 1 as the denominator. So, 0.4 can be written as 0.4/1.
Step 2: To get rid of the decimal point, we can multiply both the numerator and denominator by 10 to shift the decimal point one place to the right. This gives us (0.4 × 10)/(1 × 10) = 4/10.
Step 3: Now, to further simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor. The greatest common divisor of 4 and 10 is 2. So, (4/2)/(10/2) = 2/5.
Therefore, 0.4 is equivalent to the simplified fraction 2/5. So, the correct response is option 25: Start Fraction 2 over 5 End Fraction.
To convert 0.4 to a simplified fraction, we can follow these steps:
Step 1: Recognize that the decimal 0.4 can also be written as 40/100 because the decimal point is one place to the right of the digit 4.
Step 2: Simplify the fraction 40/100 by dividing both the numerator and denominator by their greatest common divisor, which is 20.
40 ÷ 20 = 2
100 ÷ 20 = 5
Step 3: The simplified fraction for 0.4 is 2/5.
Therefore, 0.4 simplified as a fraction is 2/5.