Multiplying the common ordinary fractions: 1/5 × 15/24 = ? The multiplication process explained. The result written: As a positive proper fraction (the numerator < the denominator). As a decimal number. As a percentage
1/5 × 15/24 = ?
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.
15/24 =
(3 × 5)/(23 × 3) =
((3 × 5) ÷ 3)/((23 × 3) ÷ 3) =
(3 ÷ 3 × 5)/(23 × 3 ÷ 3) =
(1 × 5)/(23 × 1) =
5/8
Rewrite the equivalent simplified operation:
1/5 × 15/24 =
1/5 × 5/8
These fractions reduce each other:
They have numerators and denominators of equal values.
The fractions: 1/5 × 5/8 = 1/8
Rewrite the fraction
As a decimal number:
Simply divide the numerator by the denominator, without a remainder, as shown below:
1/8 =
1 ÷ 8 =
0.125 ≈
0.13
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.
0.125 =
0.125 × 100/100 =
(0.125 × 100)/100 =
12.5/100 =
12.5%
The final answer:
written in three ways
As a positive proper fraction:
(the numerator < the denominator)
1/5 × 15/24 = 1/8
As a decimal number:
1/5 × 15/24 ≈ 0.13
As a percentage:
1/5 × 15/24 = 12.5%
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: