What is 4.65 converted to a fraction? The answer should be given in simplest form.
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To convert a decimal to a fraction, note that the decimal can be written as a fraction where the numerator is the decimal number and the denominator is 1.
In this case, 4.65 can be written as the fraction 4.65/1.
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 5 in this case.
So, 4.65/1 simplifies to (4.65/5)/(1/5) which is equal to 0.93/0.2. Now we multiply both the numerator and the denominator by 10 to eliminate the decimal points.
0.93/0.2 becomes 9.3/2.
Therefore, 4.65 as a fraction in simplest form is 9.3/2.
To convert a decimal number to a fraction, follow these steps:
Step 1: Write down the decimal number as the numerator (top part).
4.65
Step 2: Determine the denominator (bottom part) by counting the number of decimal places.
The given decimal number has two decimal places.
Step 3: Write down the decimal number without the decimal point.
465
Step 4: Divide the numerator by 10 raised to the power of the number of decimal places.
The number of decimal places is 2, so we divide 465 by 10^2 (which is 100).
465 ÷ 100 = 4.65
Therefore, 4.65 can be written as the fraction 465/100. However, this fraction is not in simplest form.
Step 5: Simplify the fraction, if possible.
The greatest common divisor (GCD) of 465 and 100 is 5.
465 ÷ 5 = 93
100 ÷ 5 = 20
So, the simplest form of the fraction 465/100 is 93/20.
To convert a decimal number to a fraction, we need to first determine the place value of the decimal. In this case, the decimal is 4.65. The digit to the right of the decimal point is in the hundredths place, which means it can be written as a fraction with a denominator of 100.
Next, we remove the decimal point and write the number without the decimal part as the numerator. So, the numerator is 465.
Finally, we simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by the GCD. In this case, both the numerator and denominator are divisible by 5, so we can simplify the fraction by dividing both by 5.
The simplified fraction is 465/100.
In simplest form, we can further simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 5. After dividing both by 5, we get the final simplest fraction: 93/20.