Write 0.46 as a fraction in simplest form. 0.46=
The correct answer and explanation is:
To write 0.46 as a fraction in its simplest form, follow these steps:
Step 1: Express the Decimal as a Fraction
The decimal 0.46 has two digits after the decimal point, so you can express it as: 0.46=461000.46 = \frac{46}{100}
This is because 0.46 is the same as 46 hundredths.
Step 2: Simplify the Fraction
Next, simplify the fraction 46100\frac{46}{100} by finding the greatest common divisor (GCD) of 46 and 100. The GCD of 46 and 100 is 2, because both numbers are divisible by 2.
Now, divide both the numerator and the denominator by their GCD (2): 46100=46÷2100÷2=2350\frac{46}{100} = \frac{46 \div 2}{100 \div 2} = \frac{23}{50}
Step 3: Final Answer
So, 0.46 as a fraction in its simplest form is: 2350\frac{23}{50}
Explanation:
A fraction represents a part of a whole. In this case, 0.46 represents 46 hundredths, so it is initially written as 46100\frac{46}{100}. To simplify the fraction, the numerator and denominator are divided by their greatest common divisor (GCD), which is 2. This gives us the fraction 2350\frac{23}{50}. The process of simplifying a fraction helps to express it in the lowest terms, where the numerator and denominator have no common factors other than 1.
Thus, the fraction 2350\frac{23}{50} is the simplest form of 0.46.