Simplifying by GCD
- Input
- 18 : 24
- Expected output
- 3 : 4 (decimal 0,75)
GCD(18,24)=6; dividing both terms by 6 gives the irreducible form, the same result as reducing the fraction 18/24.
Carregando ferramenta… / Loading tool…
simplify a ratio
A ratio a:b reduces to its lowest form by dividing both terms by the same GCD, the largest number that divides both without leaving a remainder. Ratio and proportion are not synonyms: a ratio is a single comparison between two numbers, while a proportion equates two ratios, A:B = C:D, and lets you find an unknown term through cross-multiplication.
GCD(18,24)=6; dividing both terms by 6 gives the irreducible form, the same result as reducing the fraction 18/24.
Cross-multiplication: X = (2×12)÷3. The proportion equates two ratios, unlike simplifying a single standalone ratio.
GCD(9,16) = 1: no simplification possible, the ratio comes out identical to the input.
It's the equality of two ratios. In A:B = C:X the ratios A/B and C/X are equal. Knowing three values, we find the fourth by cross-multiplication.
No: a ratio is a single comparison between two numbers, like 3:4; a proportion equates two ratios, A:B=C:D, and it is that equality that lets you compute an unknown term through cross-multiplication, as in 2:3=X:12.
Not in simplification mode, which requires both terms to be whole numbers and rejects 2.5:5 with a specific error. For decimal terms, the proportion solver accepts any number, as in 2.5:5=X:20, resulting in X=10.
Keep the same ratio between ingredients by multiplying both terms by the same factor: 2:1 doubled becomes 4:2, which simplifies back to 2:1, the same original proportion, just with larger quantities.
Fill in three of the four fields; the empty one will be calculated.
Calculations run in your browser. No data is sent to a server.