Ratio Calculator – Simplify & Solve Ratios Online

Intro

The Ratio Calculator online is a smart tool that helps you simplify ratios, compare values, and solve missing ratio terms instantly. Ratios are used to compare two or more quantities, making them an essential part of mathematics, finance, cooking, construction, business analysis, and daily life.

For example, if a recipe requires 2 cups of sugar for every 3 cups of flour, the ratio is written as 2:3. Solving and simplifying ratios manually can be tricky when large numbers or decimals are involved, but the Ratio Calculator online makes the process quick, accurate, and hassle-free.

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Formula / Working

A ratio is the relationship between two numbers: a:bmeansaba:b \quad \text{means} \quad \frac{a}{b}a:bmeansba​

1. Simplifying Ratios

To simplify a ratio: ab=a÷GCD(a,b)b÷GCD(a,b)\frac{a}{b} = \frac{a \div \text{GCD}(a,b)}{b \div \text{GCD}(a,b)}ba​=b÷GCD(a,b)a÷GCD(a,b)​

where GCD = Greatest Common Divisor.

Example: 36:60=3660=3536:60 \quad = \quad \frac{36}{60} \quad = \quad \frac{3}{5}36:60=6036​=53​

✅ Simplified ratio = 3:5

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2. Equivalent Ratios

Multiplying or dividing both sides by the same number gives equivalent ratios. a:b=(a×n):(b×n)a:b = (a \times n) : (b \times n)a:b=(a×n):(b×n)

Example: 2:3=4:6=6:92:3 = 4:6 = 6:92:3=4:6=6:9

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3. Finding Missing Value in Ratios

If a:b=c:xa:b = c:xa:b=c:x

then, x=b×cax = \frac{b \times c}{a}x=ab×c​

Example: 2:3=4:x⇒x=3×42=62:3 = 4:x \quad \Rightarrow \quad x = \frac{3 \times 4}{2} = 62:3=4:x⇒x=23×4​=6

✅ Missing value = 6

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Step-by-Step Usage

1. Enter your numbers into the calculator (e.g., 24 and 36).
2. Choose the operation: simplify ratio, find equivalent ratios, or solve for missing value.
3. Click Calculate to get instant results.
4. Reset and try with new numbers if needed.

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Examples

Example 1: Simplify a Ratio

Numbers: 24:36
GCD = 12 24÷12:36÷12=2:324 \div 12 : 36 \div 12 = 2:324÷12:36÷12=2:3

✅ Result = 2:3

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Example 2: Find Equivalent Ratio

Ratio: 3:4
Multiply both sides by 5 3×5:4×5=15:203 \times 5 : 4 \times 5 = 15:203×5:4×5=15:20

✅ Equivalent ratio = 15:20

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Example 3: Solve Missing Value

Ratio: 7:14 = x:28 x=7×2814=14x = \frac{7 \times 28}{14} = 14x=147×28​=14

✅ Result = x = 14

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FAQs

Q1. What is a Ratio Calculator?
It’s an online tool that simplifies ratios, finds equivalent ratios, and solves missing ratio values instantly.

Q2. Can it handle decimals and fractions?
Yes, the calculator works with whole numbers, decimals, and fractions.

Q3. Is this tool useful for cooking or construction?
Absolutely. It’s perfect for recipes, mixing materials, scaling quantities, and business analysis.

Q4. Can I use it on mobile devices?
Yes, the calculator is mobile-friendly and works on all browsers.

Q5. Is the Ratio Calculator free?
Yes, it’s 100% free and requires no download or installation.