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Convert fractions to ratio notation with step-by-step solutions. Get simplified ratios, percentages, and decimal equivalents.
Fractions and ratios are closely related mathematical concepts. A fraction represents a part of a whole, while a ratio compares two quantities. They can be converted between each other easily.
Written as numerator/denominator
Represents 3 parts out of 4 total parts
Written with colon notation
Compares 3 of one thing to 4 of another
Replace the fraction bar with a colon. For example, 2/5 becomes 2:5.
Find the GCD of both numbers and divide. For example, 6:8 simplifies to 3:4 (dividing by 2).
The ratio a:b means "a to b" or "a for every b". Both the fraction and ratio represent the same relationship.
A recipe calling for 2/3 cup of water to flour can be written as 2:3 ratio.
Map scales like 1/50000 can be expressed as 1:50000 ratio of map distance to real distance.
Paint mixing ratios are often written as 3:1 rather than 3/4, meaning 3 parts paint to 1 part thinner.
While similar, fractions represent parts of a whole (like 3/4 of a pizza), while ratios compare two separate quantities (like 3 boys to 4 girls). However, mathematically they work the same way and can be converted between each other.
Just like simplifying fractions, find the GCD (Greatest Common Divisor) of both numbers and divide both sides by it. For example, 12:16 can be simplified to 3:4 by dividing both by 4.
Yes! Extended ratios like 2:3:5 represent relationships between three or more quantities. For example, a 2:3:5 concrete mix means 2 parts cement, 3 parts sand, and 5 parts gravel.
A 1:1 ratio means equal amounts of both quantities. It's equivalent to the fraction 1/2 or 50%. For example, a 1:1 ratio of water to juice means half water and half juice.
Replace the colon with a fraction bar. For example, 3:4 becomes 3/4. The first number is the numerator and the second is the denominator.
No! Order matters in ratios. 3:4 means 3 to 4, while 4:3 means 4 to 3. They're reciprocals of each other. 3:4 equals 0.75, while 4:3 equals approximately 1.33.