408.75 as a fraction please help and explain
.75 = 75/100 = 3/4
so, 408 3/4 = 1635/4
thanks steve
To write 408.75 as a fraction, we can divide the decimal number by 1 to give it a denominator of 1. Then, we adjust the numerator accordingly.
Step 1: Write the number as a fraction over 1:
408.75/1
Step 2: Multiply both the numerator and denominator by 100 to remove the decimal (since we have two decimal places):
408.75 * 100 / 1 * 100 = 40875/100
Step 3: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which is 25:
40875 ÷ 25 / 100 ÷ 25 = 1635/4
So, 408.75 can be expressed as the fraction 1635/4.