Multiplying the common ordinary fractions: - 25/74 × - 32/50 = ? The multiplication process explained. The result written: As a positive proper fraction (the numerator < the denominator). As a decimal number. As a percentage
- 25/74 × - 32/50 = ?
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
- 25/74 × - 32/50 =
25/74 × 32/50
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.
25/74 is already reduced to the lowest terms.
The numerator and denominator have no common prime factors.
Their prime factorization:
25 = 52
74 = 2 × 37
32/50 =
25/(2 × 52) =
(25 ÷ 2)/((2 × 52) ÷ 2) =
(25 ÷ 2)/(2 ÷ 2 × 52) =
2(5 - 1)/(1 × 52) =
24/(1 × 52) =
16/25
Rewrite the equivalent simplified operation:
25/74 × 32/50 =
25/74 × 16/25
These fractions reduce each other:
They have numerators and denominators of equal values.
The fractions: 25/74 × 16/25 = 16/74
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.
16/74 =
24/(2 × 37) =
(24 ÷ 2)/((2 × 37) ÷ 2) =
(24 ÷ 2)/(2 ÷ 2 × 37) =
2(4 - 1)/(1 × 37) =
23/(1 × 37) =
8/37
Rewrite the fraction
As a decimal number:
Simply divide the numerator by the denominator, without a remainder, as shown below:
8/37 =
8 ÷ 37 ≈
0.216216216216 ≈
0.22
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.
0.216216216216 =
0.216216216216 × 100/100 =
(0.216216216216 × 100)/100 =
21.621621621622/100 ≈
21.621621621622% ≈
21.62%
The final answer:
written in three ways
As a positive proper fraction:
(the numerator < the denominator)
- 25/74 × - 32/50 = 8/37
As a decimal number:
- 25/74 × - 32/50 ≈ 0.22
As a percentage:
- 25/74 × - 32/50 ≈ 21.62%
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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