Fraction to Ratio Calculator

Enter a fraction to quickly convert it into ratio form, with support for mixed numbers.

Convert Fractions to Ratios

Fraction
Result

What is a Fraction?

A fraction represents a part of a whole, typically expressed as \( \frac{a}{b} \), where \( a \) is the numerator (the part), and \( b \) is the denominator (the whole). Fractions describe the relationship between the part and the whole. A mixed number is a number that includes both a whole part and a fractional part, such as \( 1\frac{3}{4} \).

How to Convert a Fraction to a Ratio?

Converting a fraction (including mixed numbers) to a ratio is a simple process. Here are the detailed steps:

  1. Identify the form of the fraction: The fraction can be either a simple fraction (such as \( \frac{a}{b} \)) or a mixed number (such as \( c\frac{d}{e} \)).
  2. Convert mixed numbers to improper fractions: For a mixed number \( c\frac{d}{e} \), convert it to an improper fraction: \( c\frac{d}{e} = \frac{ce + d}{e} \)
  3. Convert to ratio: Express the fraction as a ratio, i.e., \( a:b \).
  4. Simplify the ratio: Simplify the ratio to its simplest form, if needed.

Examples

Example 1: Convert the fraction \( \frac{5}{8} \) to a ratio.

Solution:

1. Write the fraction as a ratio:

\( \frac{5}{8} = 5:8 \)

2. Write the fraction as a ratio:

\( 5:8 \text{ is already in its simplest form.} \)

Result: The fraction \( \frac{5}{8} \) converts to the ratio \( 5:8 \).

Example 2: Convert the mixed number \( 2\frac{1}{4} \) to a ratio.

Solution:

1. Convert the mixed number to an improper fraction:

\( 2\frac{1}{4} = \frac{2 \times 4 + 1}{4} = \frac{9}{4} \)

2. Write the fraction as a ratio:

\( \frac{9}{4} = 9:4 \)

Result: The mixed number \( 2\frac{1}{4} \) converts to the ratio \( 9:4 \).

Example 3: Convert the mixed number \( 1\frac{2}{3} \) to a ratio.

Solution:

1. Convert the mixed number to an improper fraction:

\( 1\frac{2}{3} = \frac{1 \times 3 + 2}{3} = \frac{5}{3} \)

2. Write the fraction as a ratio:

\( \frac{5}{3} = 5:3 \)

Result: The mixed number \( 1\frac{2}{3} \) converts to the ratio \( 5:3 \).