Rewrite the equivalent simplified operation:
Combine the signs of the fractions into a single one, placed in front of the expression.
The sign of the multiplication: + 1 × + 1 = + 1; + 1 × - 1 = - 1; - 1 × - 1 = + 1.
If the sign is +, it is no longer written.
- 25/66 × - 30/69 =
25/66 × 30/69
Reduce (simplify) fractions to their lowest terms equivalents:
Factor all the numbers in order to easily reduce (simplify) the end fraction.
Fraction: 25/66 already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
25 = 52;
66 = 2 × 3 × 11;
Fraction: 30/69 =
(2 × 3 × 5)/(3 × 23) =
((2 × 3 × 5) ÷ 3)/((3 × 23) ÷ 3) =
(2 × 3 ÷ 3 × 5)/(3 ÷ 3 × 23) =
(2 × 1 × 5)/(1 × 23) =
10/23;
Rewrite the equivalent simplified operation:
25/66 × 30/69 =
25/66 × 10/23
Divide the numerator and denominator by GCF.
(2 × 53) / (2 × 3 × 11 × 23) =
((2 × 53) ÷ 2) / ((2 × 3 × 11 × 23) ÷ 2) =
(2 ÷ 2 × 53)/(2 ÷ 2 × 3 × 11 × 23) =
(1 × 53)/(1 × 3 × 11 × 23) =
53/(3 × 11 × 23) =
125/(3 × 11 × 23) =
125/759;
Rewrite the fraction
As a decimal number:
125/759 =
125 ÷ 759 ≈
0.164690382082 ≈
0.16
As a percentage:
0.164690382082 =
0.164690382082 × 100/100 =
(0.164690382082 × 100)/100 =
16.469038208169/100 ≈
16.469038208169% ≈
16.47%
The final answer:
:: written in three ways ::