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Ratio to Fraction Calculator

Write down the ratio values and the calculator will convert them to the corresponding fraction form. Also, you can convert any fraction to ratio form by using this tool.

 

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Ratio to Fraction Calculator

Our Ratio to Fraction Calculator helps you quickly convert ratios to fractions and vice versa. It’s ideal for students, teachers, and anyone performing calculations that require precise results.

Ratios vs Fractions

Understanding the difference between ratios and fractions is essential:

Why Use a Ratio?

A ratio compares two quantities. It is written as a:b.

Example: In a class of 25 boys and 27 girls, the ratio of boys to girls is:

Boys:Girls = 25:27

Ratios express relationships but do not describe parts of a whole.

Why Use a Fraction?

Fractions represent a part of a whole. They have a numerator (top) and a denominator (bottom). Fractions can be derived from ratios, and vice versa. Each fraction shows how many equal parts of the whole are considered.

Example: A watermelon divided into 2 equal parts → each part = ½. Divided into 4 parts → each = ¼.

Fractions and ratios are closely related; a fraction is another way to express a ratio.

Reducing Ratios

Ratios can be simplified by dividing both parts by their greatest common factor (GCF).

Example: Ratio 5:10 → divide both by 5 → reduced ratio = 1:2

Equivalent Fractions

Equivalent fractions are obtained by multiplying the numerator and denominator by the same number. Use the Equivalent Fractions Calculator for quick results.

Example: 5/7 = 10/14 = 15/21

How to Convert Ratios to Fractions

Ratios can be expressed as fractions. For a ratio a:b, the fractions are:

  • First part: a / (a + b)
  • Second part: b / (a + b)

Example: A pizza cut into 6 slices, with 1 slice having extra pepperoni. Pepperoni fraction = 1/6, ratio of pepperoni to non-pepperoni = 1:5

Conversion Tables

Fraction → Ratio

Fraction Ratio
2/5 2:5
4/3 4:3
2/7 2:7
5/6 5:6
2/3 2:3
55/66 5:6

Ratio → Fraction

Ratio Fraction
5:4 5/4
4:3 4/3
5:7 5/7
5:6 5/6
7:14 1/2
6:8 3/4

Example: Convert 36:48 to Fraction

Step 1: Add the parts → 36 + 48 = 84

Step 2: Write fractions → 36/84 and 48/84

Step 3: Simplify → 36/84 = 3/7, 48/84 = 4/7

✅ Fractions: 3/7 and 4/7

How the Ratio to Fraction Calculator Works

Inputs:

  • Select conversion type: Ratio → Fraction or Fraction → Ratio
  • Enter values in fields A and B
  • Click "Calculate"

Outputs:

  • Converted ratio or fraction
  • Step-by-step solution
  • Easy for students and beginners to understand

FAQs

What is 4/5 as a ratio?

4/5 → 4:5

How to write 0.8 as a ratio in lowest terms?

0.8 → fraction = 8/10 → simplified = 4/5 → ratio = 4:5

How to convert 2/3 to a ratio?

2/3 → 2:3

How to convert 3:4 to a fraction?

3:4 → 3/4

How to write 2.25 as a fraction?

2.25 → 225/100 → simplified using Decimal to Fraction Calculator

Ratio of 12:14 in simplest form?

12:14 → divide by GCD 2 → 6:7 → fraction = 6/7

Ratio of 8:6 in simplest form?

8:6 → divide by GCD 2 → 4:3 → fraction = 4/3

Conclusion

The Ratio to Fraction Calculator makes converting between ratios and fractions fast and simple. Step-by-step solutions help students understand the process and save time in calculations.

References

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