Multiplying the common ordinary fractions: 12/56 × 14/42 = ? The multiplication process explained. The result written: As a positive proper fraction (the numerator < the denominator). As a decimal number. As a percentage
12/56 × 14/42 = ?
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.
12/56 =
(22 × 3)/(23 × 7) =
((22 × 3) ÷ 22)/((23 × 7) ÷ 22) =
(22 ÷ 22 × 3)/(23 ÷ 22 × 7) =
(2(2 - 2) × 3)/(2(3 - 2) × 7) =
(20 × 3)/(21 × 7) =
(1 × 3)/(2 × 7) =
3/14
14/42 =
(2 × 7)/(2 × 3 × 7) =
((2 × 7) ÷ (2 × 7))/((2 × 3 × 7) ÷ (2 × 7)) =
(2 ÷ 2 × 7 ÷ 7)/(2 ÷ 2 × 3 × 7 ÷ 7) =
(1 × 1)/(1 × 3 × 1) =
1/3
Rewrite the equivalent simplified operation:
12/56 × 14/42 =
3/14 × 1/3
These fractions reduce each other:
They have numerators and denominators of equal values.
The fractions: 3/14 × 1/3 = 1/14
Rewrite the fraction
As a decimal number:
Simply divide the numerator by the denominator, without a remainder, as shown below:
1/14 =
1 ÷ 14 ≈
0.071428571429 ≈
0.07
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.
0.071428571429 =
0.071428571429 × 100/100 =
(0.071428571429 × 100)/100 =
7.142857142857/100 ≈
7.142857142857% ≈
7.14%
The final answer:
written in three ways
As a positive proper fraction:
(the numerator < the denominator)
12/56 × 14/42 = 1/14
As a decimal number:
12/56 × 14/42 ≈ 0.07
As a percentage:
12/56 × 14/42 ≈ 7.14%
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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