- 15/24 × 90/15 = ? Multiply the Common (Ordinary) Fractions, Online Calculator. Multiplication Operation Explained Step by Step
The numerators and the denominators of the fractions are multiplied separately
These fractions reduce each other:
They have numerators and denominators of equal values.
The fractions: 15/24 × 90/15 = 90/24
Rewrite the equivalent simplified operation:
- 15/24 × 90/15 =
- 90/24
Simplify the operation
Reduce (simplify) the fractions to their lowest terms equivalents:
- 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.
- * By reducing the values of the numerators and denominators of fractions, subsequent calculations become easier to perform.
To reduce a fraction to the lowest terms equivalent divide its numerator and denominator by their greatest common factor, GCF.
- To calculate the GCF, factor the numerator and denominator of the fraction into prime factors.
- Then multiply all the common prime factors: if there are repeating prime factors we only take them once, and only the ones having the lowest exponents (the lowest powers).
The fraction: 90/24
The prime factorizations of the numerator and denominator:
90 = 2 × 32 × 5
24 = 23 × 3
GCF (90; 24) = 2 × 3 = 6
90/24 =
(90 ÷ 6)/(24 ÷ 6) =
15/4
Yet another method to reduce a fraction:
* To reduce a fraction without calculating the GCF: factor its numerator and denominator, then all the common prime factors are easily identified and crossed out.
90/24 =
(2 × 32 × 5)/(23 × 3) =
((2 × 32 × 5) ÷ (2 × 3))/((23 × 3) ÷ (2 × 3)) =
(2 ÷ 2 × 32 ÷ 3 × 5)/(23 ÷ 2 × 3 ÷ 3) =
(1 × 3(2 - 1) × 5)/(2(3 - 1) × 1) =
(1 × 31 × 5)/(22 × 1) =
(1 × 3 × 5)/(22 × 1) =
15/4
Internal link » Reduce (simplify) common (ordinary) fractions to the lowest terms (to their simplest form equivalent), online calculator
Rewrite the equivalent simplified operation:
- 90/24 =
- 15/4
Rewrite the fraction
As a mixed number (also called a mixed fraction):
- A mixed number: a whole number and a proper fraction, both having the same sign.
- A proper fraction: the value of the numerator is smaller than the value of the denominator.
- Divide the numerator by the denominator and write down the quotient and the remainder of the division, as shown below:
- 15 ÷ 4 = - 3 and the remainder = - 3 ⇒
- 15 = - 3 × 4 - 3 ⇒
- 15/4 =
( - 3 × 4 - 3)/4 =
( - 3 × 4)/4 - 3/4 =
- 3 - 3/4 =
- 3 3/4
As a decimal number:
Simply divide the numerator by the denominator, without a remainder, as shown below:
- 3 - 3/4 =
- 3 - 3 ÷ 4 =
- 3.75
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.
- 3.75 =
- 3.75 × 100/100 =
( - 3.75 × 100)/100 =
- 375/100 =
- 375%
External link » Convert and write integer and decimal numbers, fractions and ratios as percentages, online calculator
The final answer:
written in four ways
As a negative improper fraction:
(the numerator >= the denominator)
- 15/24 × 90/15 = - 15/4
As a mixed number (also called a mixed fraction):
- 15/24 × 90/15 = - 3 3/4
As a decimal number:
- 15/24 × 90/15 = - 3.75
As a percentage:
- 15/24 × 90/15 = - 375%
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.