Ratio to Fraction Calculator

Enter a ratio to quickly convert it to simplest fraction form.

Convert Ratios to Fractions

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Result

What is a Ratio?

A ratio is the relationship between two numbers, typically expressed as \( a:b \), where \( a \) and \( b \) are the two numbers. Ratios describe the relative size and relationship between the two values. For example, if there are 2 apples and 3 oranges, we can express this as the ratio \( 2:3 \).

Difference Between Ratios and Fractions

  • Ratio: A ratio represents the relationship between two numbers, usually written as \( a:b \). The two numbers in a ratio don't necessarily have a direct part-to-whole relationship.
  • Fraction: A fraction represents a part of a whole, usually written as \( \frac{a}{b} \), where \( a \) is the part and \( b \) is the whole. The numerator and denominator of a fraction have a more direct relationship to the whole.

How to Convert a Ratio to a Fraction?

Converting a ratio to a fraction is a straightforward process. Here are the detailed steps:

  1. Identify the ratio: A ratio is typically written as \( a:b \).
  2. Convert to a fraction: Write the ratio as a fraction, i.e., \( \frac{a}{b} \).
  3. Simplify the fraction: Simplify the fraction to its simplest form, if necessary.

Examples

Example 1: Convert the ratio \( 2:3 \) to a fraction.

Solution:

1. Write the ratio as a fraction:

\( 2:3 = \frac{2}{3} \)

2. Simplify the fraction (if needed):

\( \frac{2}{3} \text{ is already in its simplest form.} \)

Result: The ratio \( 2:3 \) converts to the fraction \( \frac{2}{3} \).

Example 2: Convert the ratio \( 4:5 \) to a fraction.

Solution:

1. Write the ratio as a fraction:

\( 4:5 = \frac{4}{5} \)

2. Simplify the fraction (if needed):

\( \frac{4}{5} \text{ is already in its simplest form.} \)

Result: The ratio \( 4:5 \) converts to the fraction \( \frac{4}{5} \).

Example 3: Convert the ratio \( 6:9 \) to a fraction.

Solution:

1. Write the ratio as a fraction:

\( 6:9 = \frac{6}{9} \)

2. Simplify the fraction:

\( \frac{6}{9} = \frac{2}{3} \)

Result: The ratio \( 6:9 \) converts to the fraction \( \frac{2}{3} \).