Multiplying the common ordinary fractions: 5/12 × 5/100 = ? The multiplication process explained. The result written: As a positive proper fraction (the numerator < the denominator). As a decimal number. As a percentage
5/12 × 5/100 = ?
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.
5/12 is already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
5 is a prime number (it cannot be factored into other prime factors)
12 = 22 × 3
5/100 =
5/(22 × 52) =
(5 ÷ 5)/((22 × 52) ÷ 5) =
(5 ÷ 5)/(22 × 52 ÷ 5) =
1/(22 × 5(2 - 1)) =
1/(22 × 51) =
1/(22 × 5) =
1/20
Rewrite the equivalent simplified operation:
5/12 × 5/100 =
5/12 × 1/20
Perform the operation of calculating the fractions
Multiply the fractions:
1) Multiply the numerators, that is, all the numbers above the fractions bars, separately.
2) Multiply the denominators, that is, all the numbers below the fractions bars, separately.
* Factor all the numerators and all the denominators in order to easily reduce (simplify) the end fraction.
5/12 × 1/20 =
5 / (12 × 20) =
5 / (22 × 3 × 22 × 5) =
5 / (24 × 3 × 5)
Fully reduce (simplify) the end fraction to its lowest terms equivalent:
Calculate the greatest common factor, GCF,
of the numerator and denominator of the fraction:
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.
To fully reduce a fraction, to the lowest terms equivalent: divide the numerator and denominator by their greatest common factor, GCF.
* To calculate the GCF, we need to factor the numerator and the denominator of the fraction into prime factors.
Then multiply all the common prime factors: if there are repeating prime factors we only take them once, and only the ones having the lowest exponent (the lowest powers).
GCF (5; 24 × 3 × 5) = 5
Divide the numerator and the denominator by their GCF:
5 / (24 × 3 × 5) =
(5 ÷ 5) / ((24 × 3 × 5) ÷ 5) =
(5 ÷ 5)/(24 × 3 × 5 ÷ 5) =
1/(24 × 3 × 1) =
1/(24 × 3) =
1/(16 × 3) =
1/48
Rewrite the fraction
As a decimal number:
Simply divide the numerator by the denominator, without a remainder, as shown below:
1/48 =
1 ÷ 48 ≈
0.020833333333 ≈
0.02
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.
0.020833333333 =
0.020833333333 × 100/100 =
(0.020833333333 × 100)/100 =
2.083333333333/100 ≈
2.083333333333% ≈
2.08%
The final answer:
written in three ways
As a positive proper fraction:
(the numerator < the denominator)
5/12 × 5/100 = 1/48
As a decimal number:
5/12 × 5/100 ≈ 0.02
As a percentage:
5/12 × 5/100 ≈ 2.08%
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
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