What is 4.65 converted to a fraction? The answer should be given in simplest form.
41320
4 Start Fraction 13 over 20 End Fraction
465
4 Start Fraction 6 over 5 End Fraction
465100
4 Start Fraction 65 over 100 End Fraction
465
None of the given options are correct for converting 4.65 to a fraction in simplest form. To convert a decimal to a fraction, we can count the number of decimal places and use that to determine the denominator. In this case, there are two decimal places, so the denominator will be 100.
To convert the whole number part, 4, we multiply it by the denominator, 100, and add the numerator, 65. This gives us a fraction of 465/100.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5.
Dividing 465 by 5 gives us 93, and dividing 100 by 5 gives us 20.
So, 4.65 in simplest form as a fraction is 93/20.
To convert 4.65 to a fraction, you can follow these steps:
Step 1: Rewrite the decimal as a whole number numerator. In this case, multiply 4.65 by 100 to eliminate the decimal point: 4.65 x 100 = 465.
Step 2: Rewrite the decimal place value as the denominator. Since there are two decimal places (65), the denominator will be 100.
So, 4.65 can be written as the fraction 465/100.
To simplify this fraction, you can divide both the numerator and denominator by their greatest common divisor, which is 5.
Dividing 465 by 5 gives 93, and dividing 100 by 5 gives 20.
Therefore, 4.65 as a simplified fraction is 93/20.
Hope this helps!
To convert the decimal number 4.65 into a fraction in simplest form, we need to understand the place value of each digit. The number 4.65 can be divided into two parts: the whole number part (4) and the decimal part (0.65).
To convert the whole number part (4) into a fraction, we simply write it as a fraction over 1, resulting in 4/1.
Next, we need to convert the decimal part (0.65) into a fraction. Since there are two decimal places, it can be written as 65/100.
Now, we add the two fractions together: 4/1 + 65/100.
To add these fractions, we need a common denominator, which in this case is 100.
To convert 4/1 into a fraction with a denominator of 100, we multiply the numerator and denominator by 100, resulting in 400/100.
Now we can add the two fractions: 400/100 + 65/100.
To combine these fractions, we add the numerators and keep the denominator the same: (400 + 65)/100, which simplifies to 465/100.
To simplify the fraction 465/100 to its simplest form, we can divide both the numerator and denominator by their greatest common divisor. In this case, both numbers are divisible by 5, resulting in 93/20.
Therefore, the decimal number 4.65 can be written as the fraction 93/20 in simplest form.