Ratio Calculator
body {
font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif;
background-color: #f8f9fa;
color: #333;
line-height: 1.6;
margin: 0;
padding: 20px;
display: flex;
justify-content: center;
align-items: flex-start;
min-height: 100vh;
}
.loan-calc-container {
background-color: #ffffff;
padding: 30px;
border-radius: 8px;
box-shadow: 0 4px 15px rgba(0, 0, 0, 0.1);
max-width: 700px;
width: 100%;
margin-bottom: 30px;
}
h1, h2 {
color: #004a99;
text-align: center;
margin-bottom: 20px;
}
.input-group {
margin-bottom: 20px;
display: flex;
flex-direction: column;
align-items: flex-start;
}
.input-group label {
margin-bottom: 8px;
font-weight: bold;
color: #004a99;
}
.input-group input[type="number"],
.input-group select {
width: 100%;
padding: 10px;
border: 1px solid #ccc;
border-radius: 4px;
box-sizing: border-box;
font-size: 1rem;
}
.input-group select {
background-color: white;
}
button {
width: 100%;
padding: 12px 20px;
background-color: #004a99;
color: white;
border: none;
border-radius: 4px;
font-size: 1.1rem;
cursor: pointer;
transition: background-color 0.3s ease;
margin-top: 10px;
}
button:hover {
background-color: #003366;
}
#result-container {
margin-top: 25px;
padding: 20px;
background-color: #e7f3ff;
border: 1px solid #004a99;
border-radius: 4px;
text-align: center;
}
#result-container h2 {
color: #004a99;
margin-bottom: 15px;
}
#ratioResult {
font-size: 1.8em;
font-weight: bold;
color: #28a745;
word-wrap: break-word;
}
.article-section {
margin-top: 40px;
padding: 25px;
background-color: #ffffff;
border-radius: 8px;
box-shadow: 0 2px 10px rgba(0, 0, 0, 0.08);
}
.article-section h2 {
color: #004a99;
text-align: left;
margin-bottom: 15px;
}
.article-section h3 {
color: #004a99;
margin-top: 20px;
margin-bottom: 10px;
}
.article-section p, .article-section ul {
margin-bottom: 15px;
}
.article-section ul {
list-style-type: disc;
margin-left: 20px;
}
/* Responsive Adjustments */
@media (max-width: 600px) {
.loan-calc-container {
padding: 20px;
}
h1 {
font-size: 1.8em;
}
button {
font-size: 1em;
}
#ratioResult {
font-size: 1.5em;
}
}
Understanding and Calculating Ratios
Ratios are fundamental mathematical expressions that compare the relative size of two or more quantities. They are expressed as a fraction, with a colon separating the numbers, or as a single number representing the quotient. Ratios are incredibly versatile and are used across various fields, including finance, science, cooking, statistics, and everyday problem-solving.
What is a Ratio?
A ratio is a relationship between two numbers that indicates how many times the first number contains the second. For example, a ratio of 2:1 means that for every 2 units of the first quantity, there is 1 unit of the second quantity.
Types of Ratios & How to Calculate Them
The most common type of ratio involves two values. Our calculator handles these directly.
-
Value 1 : Value 2 (A:B): This is calculated by dividing the first value (A) by the second value (B), or by expressing it directly as A:B. If A = 10 and B = 5, the ratio is 10:5, which simplifies to 2:1. The calculator outputs this as '2:1'.
-
Value 2 : Value 1 (B:A): This is calculated by dividing the second value (B) by the first value (A), or by expressing it directly as B:A. If A = 10 and B = 5, the ratio is 5:10, which simplifies to 1:2. The calculator outputs this as '1:2'.
To simplify ratios, both numbers are divided by their greatest common divisor (GCD). For instance, in 10:5, the GCD is 5. Dividing both by 5 gives 2:1.
When to Use a Ratio Calculator
Ratio calculators are useful in many scenarios:
- Proportions in Recipes: Scaling ingredients up or down while maintaining the correct balance.
- Financial Analysis: Calculating financial ratios like the debt-to-equity ratio or current ratio to assess a company's financial health.
- Map Scales: Understanding the relationship between distances on a map and actual distances on the ground.
- Mixing Solutions: Determining the correct proportions for chemical solutions or paints.
- Statistical Comparisons: Comparing frequencies or quantities of different groups.
Example Calculation:
Let's say you are mixing paint and the instructions say to use 3 parts blue paint to 2 parts white paint.
- If you enter 3 for the "First Value" and 2 for the "Second Value", and select "Value 1 : Value 2", the calculator will correctly display "3:2".
- If you accidentally swapped the numbers and entered 2 for "First Value" and 3 for "Second Value", and selected "Value 1 : Value 2", the calculator would display "2:3", indicating you might have mixed up the paint amounts.
This simple tool helps ensure accuracy and understanding in proportional comparisons.
function gcd(a, b) {
var a = Math.abs(a);
var b = Math.abs(b);
while (b) {
var t = b;
b = a % b;
a = t;
}
return a;
}
function calculateRatio() {
var value1Input = document.getElementById("value1");
var value2Input = document.getElementById("value2");
var ratioType = document.getElementById("ratioType").value;
var resultDiv = document.getElementById("ratioResult");
var resultContainer = document.getElementById("result-container");
var val1 = parseFloat(value1Input.value);
var val2 = parseFloat(value2Input.value);
if (isNaN(val1) || isNaN(val2)) {
resultDiv.textContent = "Please enter valid numbers for both values.";
resultContainer.style.display = "block";
return;
}
if (val1 === 0 && val2 === 0) {
resultDiv.textContent = "Cannot calculate ratio when both values are zero.";
resultContainer.style.display = "block";
return;
}
var commonDivisor;
var simplifiedVal1;
var simplifiedVal2;
var ratioString;
if (ratioType === "a_to_b") {
if (val2 === 0) {
resultDiv.textContent = "Cannot divide by zero. Second value cannot be 0 for A:B ratio.";
resultContainer.style.display = "block";
return;
}
commonDivisor = gcd(val1, val2);
simplifiedVal1 = val1 / commonDivisor;
simplifiedVal2 = val2 / commonDivisor;
ratioString = simplifiedVal1 + " : " + simplifiedVal2;
} else { // b_to_a
if (val1 === 0) {
resultDiv.textContent = "Cannot divide by zero. First value cannot be 0 for B:A ratio.";
resultContainer.style.display = "block";
return;
}
commonDivisor = gcd(val1, val2);
simplifiedVal1 = val2 / commonDivisor;
simplifiedVal2 = val1 / commonDivisor;
ratioString = simplifiedVal1 + " : " + simplifiedVal2;
}
resultDiv.textContent = ratioString;
resultContainer.style.display = "block";
}