Convert 0.4 to a simplified fraction.(1 point)
Responses
2/5
Start Fraction 2 over 5 End Fraction
1/5
Start Fraction 1 over 5 End Fraction
1/4
Start Fraction 1 over 4 End Fraction
4/5
Start Fraction 2 over 5 End Fraction
To convert 0.4 to a simplified fraction, follow these steps:
Step 1: Write the decimal number as a fraction by placing it over 1. So, 0.4 becomes 0.4/1.
Step 2: Multiply both the numerator and denominator by 10 to eliminate the decimal. This gives us 4/10.
Step 3: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which is 2 in this case.
Step 4: Divide both the numerator and denominator by the GCD. So, 4/10 simplifies to 2/5.
Therefore, the simplified fraction of 0.4 is 2/5.
To convert 0.4 to a simplified fraction, you can follow these steps:
Step 1: Write down the decimal number as the numerator of the fraction.
In this case, the decimal number is 0.4, so the numerator of the fraction is 0.4.
Step 2: Determine the denominator of the fraction based on the decimal place.
Since 0.4 is in the tenths place, the denominator should be 10.
Step 3: Simplify the fraction if possible.
To simplify the fraction, you need to find the greatest common divisor (GCD) between the numerator and denominator. In this case, the GCD is 2. Divide both the numerator and denominator by 2 to get the simplified fraction.
0.4 ÷ 2 = 0.2 (numerator)
10 ÷ 2 = 5 (denominator)
Therefore, the simplified fraction for 0.4 is 2/5.