Multiplying the common ordinary fractions: 15/25 × - 5/33 = ? The multiplication process explained. The result written: As a negative proper fraction (the numerator < the denominator). As a decimal number. As a percentage
15/25 × - 5/33 = ?
Simplify the operation
Rewrite the equivalent simplified operation:
Combine the signs of the fractions into a single one, placed in front of the expression. If the sign is + then it is usually not written.
The sign of a multiplication operation:
+ 1 × + 1 = + 1
+ 1 × - 1 = - 1
- 1 × - 1 = + 1
15/25 × - 5/33 =
- 15/25 × 5/33
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.
15/25 =
(3 × 5)/52 =
((3 × 5) ÷ 5)/(52 ÷ 5) =
(3 × 5 ÷ 5)/(52 ÷ 5) =
(3 × 1)/5(2 - 1) =
(3 × 1)/51 =
(3 × 1)/5 =
3/5
5/33 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)
33 = 3 × 11
Rewrite the equivalent simplified operation:
- 15/25 × 5/33 =
- 3/5 × 5/33
These fractions reduce each other:
They have numerators and denominators of equal values.
The fractions: 3/5 × 5/33 = 3/33
Rewrite the equivalent simplified operation:
- 3/5 × 5/33 =
- 3/33
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.
3/33 =
3/(3 × 11) =
(3 ÷ 3)/((3 × 11) ÷ 3) =
(3 ÷ 3)/(3 ÷ 3 × 11) =
1/(1 × 11) =
1/11
Rewrite the equivalent simplified operation:
- 3/33 =
- 1/11
Rewrite the fraction
As a decimal number:
Simply divide the numerator by the denominator, without a remainder, as shown below:
- 1/11 =
- 1 ÷ 11 ≈
- 0.090909090909 ≈
- 0.09
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.
- 0.090909090909 =
- 0.090909090909 × 100/100 =
( - 0.090909090909 × 100)/100 =
- 9.090909090909/100 =
- 9.090909090909% ≈
- 9.09%
The final answer:
written in three ways
As a negative proper fraction:
(the numerator < the denominator)
15/25 × - 5/33 = - 1/11
As a decimal number:
15/25 × - 5/33 ≈ - 0.09
As a percentage:
15/25 × - 5/33 ≈ - 9.09%
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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