Multiplying the common ordinary fractions: 5/12 × 240/25 = ? The multiplication process explained. The result written: As a positive integer number. As a positive improper fraction (the denominator = 1). As a percentage
5/12 × 240/25 = ?
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
240/25 =
(24 × 3 × 5)/52 =
((24 × 3 × 5) ÷ 5)/(52 ÷ 5) =
(24 × 3 × 5 ÷ 5)/(52 ÷ 5) =
(24 × 3 × 1)/5(2 - 1) =
(24 × 3 × 1)/51 =
(24 × 3 × 1)/5 =
48/5
Rewrite the equivalent simplified operation:
5/12 × 240/25 =
5/12 × 48/5
These fractions reduce each other:
They have numerators and denominators of equal values.
The fractions: 5/12 × 48/5 = 48/12
Simplify the operation
Reduce (simplify) the new 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.
* 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.
48/12 =
(24 × 3)/(22 × 3) =
((24 × 3) ÷ (22 × 3))/((22 × 3) ÷ (22 × 3)) =
(24 ÷ 22 × 3 ÷ 3)/(22 ÷ 22 × 3 ÷ 3) =
(2(4 - 2) × 1)/(2(2 - 2) × 1) =
(22 × 1)/(20 × 1) =
(22 × 1)/(1 × 1) =
4/1 =
4
Rewrite the intermediate result
As a positive improper fraction:
(the denominator = 1)
An improper fraction: the value of the numerator is larger than or equal to the value of the denominator.
4 = 4/1
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.
4 =
4 × 100/100 =
(4 × 100)/100 =
400/100 =
400%
The final answer:
written in three ways
As a positive integer number:
5/12 × 240/25 = 4
As a positive improper fraction:
(the denominator = 1)
5/12 × 240/25 = 4/1
As a percentage:
5/12 × 240/25 = 400%
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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