What fraction = .40625
40625/100000
Reduce
40625=5^5 times 13
100000=5^5 times 2^5
also, we know that 5/8 = 0.625,so we have
2/5 + 5/8000 = 641/1600
oops. That's
2/5 + 5/800 = 13/32
To find the fraction equivalent to the decimal 0.40625, we need to examine the decimal places.
Since there are five decimal places after the decimal point, we can write the decimal as the numerator over a denominator of 10 raised to the power of the number of decimal places.
In this case, the numerator is 40625, and the denominator would be 10^5 (as there are five decimal places).
Simplifying the fraction, we have:
40625 / (10^5)
To simplify further, we can find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD is 25.
Dividing both the numerator and denominator by 25, we get:
40625 / 10^5 = (40625 ÷ 25) / (10^5 ÷ 25) = 1625 / 10^3
Thus, the fraction equivalent to the decimal 0.40625 is 1625/1000 (or 1625 divided by 1000), simplified to 13/32.