Answer: 91 5/18
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:
3,286 = 2 × 31 × 53;
36 = 22 × 32;
Take all the common prime factors, by the lowest exponents.
gcf, gcd (3,286; 36) = 2;
Divide both numerator and denominator by their greatest common factor.
3,286/36 =
(2 × 31 × 53)/(22 × 32) =
((2 × 31 × 53) ÷ 2) / ((22 × 32) ÷ 2) =
(31 × 53)/(2 × 32) =
1,643/18
An improper fraction (numerator larger than denominator), rewrite:
As a mixed number (mixed fraction):
A mixed number (mixed fraction) = a whole number and a proper fraction.
A proper fraction = numerator smaller than denominator.
1,643 ÷ 18 = 91 and remainder = 5 =>
1,643 = 91 × 18 + 5 =>
1,643/18 =
(91 × 18 + 5) / 18 =
91 + 5/18 =
91 5/18
As a decimal number:
91 5/18 =
91 + 5/18 =
91 + 5 ÷ 18 =
91.277777777778 ≈
91.28
As a percentage:
91.277777777778 =
91.277777777778 × 100/100 =
(91.277777777778 × 100)/100 =
9,127.7777777778/100 =
9,127.7777777778% ≈
9,127.78%
