Reduce (simplify) fractions to their lowest terms equivalents:
Factor all the numbers in order to easily reduce (simplify) the end fraction.
Fraction: 25/41 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
25 = 52;
41 is a prime number, it cannot be factored into other prime factors;
Fraction: 45/22 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
45 = 32 × 5;
22 = 2 × 11;
Multiply the numerators and denominators of the fractions separately:
Factor all the numbers in order to easily reduce (simplify) the end fraction.
25/41 × 45/22 =
(25 × 45) / (41 × 22) =
(52 × 32 × 5) / (41 × 2 × 11) =
(32 × 53) / (2 × 11 × 41)
Reduce (simplify) the fraction to its lowest terms equivalent:
Calculate the greatest common factor, GCF:
Multiply all the common prime factors, by the lowest exponents.
But, the numerator and denominator have no common factors.
gcf(32 × 53; 2 × 11 × 41) = 1
Divide the numerator and denominator by GCF.
The numerator and denominator of the fraction are coprime numbers (no common prime factors, GCF = 1). The fraction cannot be reduced (simplified): irreducible fraction.
(32 × 53) / (2 × 11 × 41) =
1,125/902
Rewrite the fraction
As a mixed number (also called a mixed fraction):
Mixed number = a whole number and a proper fraction, of the same sign.
Proper fraction = numerator smaller than denominator.
1,125 ÷ 902 = 1 and remainder = 223 =>
1,125 = 1 × 902 + 223 =>
1,125/902 =
(1 × 902 + 223)/902 =
(1 × 902)/902 + 223/902 =
1 + 223/902 =
1 223/902
As a decimal number:
1 + 223/902 =
1 + 223 ÷ 902 ≈
1.247228381375 ≈
1.25
As a percentage:
1.247228381375 =
1.247228381375 × 100/100 =
(1.247228381375 × 100)/100 =
124.722838137472/100 ≈
124.722838137472% ≈
124.72%
The final answer:
:: written in four ways ::