Multiplying the common ordinary fractions: 144/35 × 35/8 = ? The multiplication process explained. The result written: As a positive integer number. As a positive improper fraction (the denominator = 1). As a percentage
144/35 × 35/8 = ?
These fractions reduce each other:
They have numerators and denominators of equal values.
The fractions: 144/35 × 35/8 = 144/8
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.
144/8 =
(24 × 32)/23 =
((24 × 32) ÷ 23)/(23 ÷ 23) =
(24 ÷ 23 × 32)/(23 ÷ 23) =
(2(4 - 3) × 32)/2(3 - 3) =
(21 × 32)/20 =
(2 × 32)/1 =
18/1 =
18
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.
18 = 18/1
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.
18 =
18 × 100/100 =
(18 × 100)/100 =
1,800/100 =
1,800%
The final answer:
written in three ways
As a positive integer number:
144/35 × 35/8 = 18
As a positive improper fraction:
(the denominator = 1)
144/35 × 35/8 = 18/1
As a percentage:
144/35 × 35/8 = 1,800%
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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