Multiplying the common ordinary fractions: 25/75 × - 42/56 = ? The multiplication process explained. The result written: As a negative proper fraction (the numerator < the denominator). As a decimal number. As a percentage
25/75 × - 42/56 = ?
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
25/75 × - 42/56 =
- 25/75 × 42/56
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.
25/75 =
52/(3 × 52) =
(52 ÷ 52)/((3 × 52) ÷ 52) =
(52 ÷ 52)/(3 × 52 ÷ 52) =
5(2 - 2)/(3 × 5(2 - 2)) =
50/(3 × 50) =
1/(3 × 1) =
1/3
42/56 =
(2 × 3 × 7)/(23 × 7) =
((2 × 3 × 7) ÷ (2 × 7))/((23 × 7) ÷ (2 × 7)) =
(2 ÷ 2 × 3 × 7 ÷ 7)/(23 ÷ 2 × 7 ÷ 7) =
(1 × 3 × 1)/(2(3 - 1) × 1) =
(1 × 3 × 1)/(22 × 1) =
3/4
Rewrite the equivalent simplified operation:
- 25/75 × 42/56 =
- 1/3 × 3/4
These fractions reduce each other:
They have numerators and denominators of equal values.
The fractions: 1/3 × 3/4 = 1/4
Rewrite the equivalent simplified operation:
- 1/3 × 3/4 =
- 1/4
Rewrite the fraction
As a decimal number:
Simply divide the numerator by the denominator, without a remainder, as shown below:
- 1/4 =
- 1 ÷ 4 =
- 0.25
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.
- 0.25 =
- 0.25 × 100/100 =
( - 0.25 × 100)/100 =
- 25/100 =
- 25%
The final answer:
written in three ways
As a negative proper fraction:
(the numerator < the denominator)
25/75 × - 42/56 = - 1/4
As a decimal number:
25/75 × - 42/56 = - 0.25
As a percentage:
25/75 × - 42/56 = - 25%
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
Multiply common ordinary fractions, online calculator: