12/12 × 15/30 = ? Multiply the Common (Ordinary) Fractions, Online Calculator. Multiplication Operation Explained Step by Step
The numerators and the denominators of the fractions are multiplied separately
There are numerators and denominators of equal values.
Reduce (simplify) the fractions to their lowest terms equivalents:
The fraction: 12/12 = 1
Rewrite the equivalent simplified operation:
Multiplying by 1 does not change the result of the operation. .
12/12 × 15/30 =
1 × 15/30 =
15/30
Simplify the operation
Reduce (simplify) the fractions to their lowest terms equivalents:
To fully reduce a fraction, to the lowest terms equivalent: divide the numerator and denominator by their greatest common factor, GCF.
* By reducing the values of the numerators and the denominators of the fractions the calculations are easier to make.
A fully reduced (simplified) fraction is one with the smallest possible numerator and denominator, one that can no longer be reduced, and it is called an irreducible fraction.
* In order to easily reduce a fraction, factor its numerator and denominator. This way all the common prime factors are easily identified and crossed out, without calculating the GCF.
15/30 =
(3 × 5)/(2 × 3 × 5) =
((3 × 5) ÷ (3 × 5))/((2 × 3 × 5) ÷ (3 × 5)) =
(3 ÷ 3 × 5 ÷ 5)/(2 × 3 ÷ 3 × 5 ÷ 5) =
(1 × 1)/(2 × 1 × 1) =
1/2
Rewrite the fraction
As a decimal number:
Simply divide the numerator by the denominator, without a remainder, as shown below:
1/2 =
1 ÷ 2 =
0.5
As a percentage:
A percentage value p% is equal to the fraction: p/100, for any decimal number p. So, we need to change the form of the number calculated above, to show a denominator of 100.
To do that, multiply the number by the fraction 100/100.
The value of the fraction 100/100 = 1, so by multiplying the number by this fraction the result is not changing, only the form.
0.5 =
0.5 × 100/100 =
(0.5 × 100)/100 =
50/100 =
50%
The final answer:
written in three ways
As a positive proper fraction:
(the numerator < the denominator)
12/12 × 15/30 = 1/2
As a decimal number:
12/12 × 15/30 = 0.5
As a percentage:
12/12 × 15/30 = 50%
How are the numbers being written on our website: comma ',' is used as a thousands separator; point '.' used as a decimal separator; numbers rounded off to max. 12 decimals (if the case). The set of the used symbols on our website: '/' the fraction bar; ÷ dividing; × multiplying; + plus (adding); - minus (subtracting); = equal; ≈ approximately equal.
Other similar operations
Multiply common ordinary fractions, online calculator: