Multiplying the common ordinary fractions: 3/7 × 6/9 = ? The multiplication process explained. The result written: As a positive proper fraction (the numerator < the denominator). As a decimal number. As a percentage
Please check the entered string:
24 - The denominator of the fraction is not an integer.
3/7 × 6/9 = ?
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.
3/7 is already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
3 is a prime number (it cannot be factored into other prime factors)
7 is a prime number (it cannot be factored into other prime factors)
6/9 =
(2 × 3)/32 =
((2 × 3) ÷ 3)/(32 ÷ 3) =
(2 × 3 ÷ 3)/(32 ÷ 3) =
(2 × 1)/3(2 - 1) =
(2 × 1)/31 =
(2 × 1)/3 =
2/3
Rewrite the equivalent simplified operation:
3/7 × 6/9 =
3/7 × 2/3
These fractions reduce each other:
They have numerators and denominators of equal values.
The fractions: 3/7 × 2/3 = 2/7
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.
2/7 is already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
2 is a prime number (it cannot be factored into other prime factors)
7 is a prime number (it cannot be factored into other prime factors)
Rewrite the fraction
As a decimal number:
Simply divide the numerator by the denominator, without a remainder, as shown below:
2/7 =
2 ÷ 7 ≈
0.285714285714 ≈
0.29
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.
0.285714285714 =
0.285714285714 × 100/100 =
(0.285714285714 × 100)/100 =
28.571428571429/100 ≈
28.571428571429% ≈
28.57%
The final answer:
written in three ways
As a positive proper fraction:
(the numerator < the denominator)
3/7 × 6/9 = 2/7
As a decimal number:
3/7 × 6/9 ≈ 0.29
As a percentage:
3/7 × 6/9 ≈ 28.57%
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.
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