Simplify Ratios with Fractions Calculator
Result
How This Tool Works
When a ratio contains fractions like ½ : ¾, multiply all terms by the Least Common Multiple of the denominators to clear them.
Simplifying ½ : ¾
1
Find LCM
LCM(2,4) = 4
→
2
× 4
2 : 3
→
✓
GCF = 1
2 : 3
Formula and GCF Steps
Convert mixed numbers to improper fractions first, then use the LCM method.
1½ : 2¼ → 3/2 : 9/4
Mixed
1½ : 2¼
→
Improper
3/2 : 9/4
→
× LCM(4)
6 : 9
→
÷ GCF(3)
2 : 3
Common Fraction Ratios
Here are frequently occurring fraction ratios simplified.
⅓ : ⅔
= 1 : 2
¼ : ½
= 1 : 2
⅖ : ⅗
= 2 : 3
¾ : ¼
= 3 : 1
⅝ : ⅜
= 5 : 3
⅙ : ⅓
= 1 : 2
FAQ
Frequently Asked Questions: Fractional Ratios
Learn more about simplifying ratios containing fractions.
Find a common denominator for the fractions, or multiply all terms by the Least Common Multiple (LCM) of the denominators to extract whole numbers, then simplify identically to whole numbers.
Yes, just convert your mixed numbers to improper fractions (or decimals) before using the calculator.