Simplify the operation
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.
1/2 × 60 =
60 / 2 =
(22 × 3 × 5) / 2
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(22 × 3 × 5; 2) = 2
Divide the numerator and the denominator by their GCF:
(22 × 3 × 5) / 2 =
((22 × 3 × 5) ÷ 2) / (2 ÷ 2) =
(22 ÷ 2 × 3 × 5)/(2 ÷ 2) =
(2(2 - 1) × 3 × 5)/1 =
(21 × 3 × 5)/1 =
(2 × 3 × 5)/1 =
2 × 3 × 5 =
30
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.
30 = 30/1
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.
30 =
30 × 100/100 =
(30 × 100)/100 =
3,000/100 =
3,000%
The final answer:
written in three ways
As a positive integer number:
1/2 × 60 = 30
As a positive improper fraction:
(the denominator = 1)
1/2 × 60 = 30/1
As a percentage:
1/2 × 60 = 3,000%
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.