What is 4.65 converted to a fraction

1 answer

To convert 4.65 to a fraction, we need to express the decimal part as a fraction.

Since 4 is a whole number, we can write it as 4.00, which is equal to 4.

To convert the decimal part 0.65 to a fraction, we can multiply both the numerator and denominator by 100, so that the decimal point is moved to the right two places:

0.65 * 100 = 65

So, 0.65 is equal to 65/100.

Putting it all together, we have:

4.65 = 4 + 65/100

To simplify this fraction further, we can divide both the numerator and denominator by their greatest common divisor, which is 5:

65/100 = (65 ÷ 5)/(100 ÷ 5) = 13/20

Therefore, 4.65 as a fraction is 4 + 13/20.