What is 4.65 converted to a fraction simplest form
To convert 4.65 to a fraction in simplest form, we can follow these steps:
Step 1: Rewrite the decimal as a fraction. Since there are two decimal places in 4.65, we can write it as 4.65/1.
Step 2: Multiply both the numerator and denominator by 100 to remove the decimal places. This gives us 465/100.
Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 5. This gives us 93/20.
Thus, 4.65 can be written as the fraction 93/20 in simplest form.
To convert 4.65 to a fraction in simplest form, you first need to recognize that the number after the decimal point represents the hundredths place.
Since there are two digits after the decimal point, you can write 4.65 as 465/100, because 65 hundredths is equivalent to 465 thousandths.
To simplify, you can divide both the numerator and the denominator by their greatest common factor (GCF), which in this case is 5.
So, dividing 465 by 5 gives us 93, and dividing 100 by 5 gives us 20.
Therefore, the simplest form of 4.65 as a fraction is 93/20.
To convert a decimal number to a fraction in its simplest form, follow these steps:
1. Count the number of decimal places in the given number. In this case, the number is 4.65, which has two decimal places.
2. Write down the given decimal number as the numerator of the fraction. In this case, the decimal number 4.65 becomes the numerator: 4.65/1.
3. Multiply both the numerator and denominator by 10 raised to the power equal to the number of decimal places. Since there are two decimal places, we multiply both the numerator and denominator by 10^2, which is 100. This gives us: (4.65 × 100) / (1 × 100) = 465/100.
4. Simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF). In this case, the GCF of 465 and 100 is 5. Dividing both numerator and denominator by 5 gives: (465 ÷ 5) / (100 ÷ 5) = 93/20.
Therefore, 4.65 is equivalent to the fraction 93/20 in its simplest form.