Answer: 264/625
Step-by-step explanation:
To reduce a fraction, divide both its numerator and denominator by their greatest common factor, GCF.
Calculate the greatest (highest) common factor (divisor), gcf (gcd).
Integer numbers prime factorization:
4,224 = 27 × 3 × 11;
10,000 = 24 × 54;
Take all the common prime factors, by the lowest exponents.
gcf, gcd (4,224; 10,000) = 24 = 16;
Divide both numerator and denominator by their greatest common factor.
4,224/10,000 =
(27 × 3 × 11)/(24 × 54) =
((27 × 3 × 11) ÷ 24) / ((24 × 54) ÷ 24) =
(23 × 3 × 11)/54 =
264/625
Rewrite the end result:
As a decimal number:
264/625 =
264 ÷ 625 =
0.4224 ≈
0.42
As a percentage:
0.4224 =
0.4224 × 100/100 =
(0.4224 × 100)/100 =
42.24/100 =
42.24%
Hope I helped!
Good Luck!
