1.8 Inches to Fraction: Conversion and Explanation
In this article, we will explore how to convert 1.8 inches to a fraction and understand the concept behind this conversion.
What is a Fraction?
A fraction is a way to express a part of a whole as a ratio of two numbers. It consists of a numerator (the top number) and a denominator (the bottom number). For example, 1/2 is a fraction where 1 is the numerator and 2 is the denominator.
Converting 1.8 Inches to a Fraction
To convert 1.8 inches to a fraction, we need to divide the decimal number by the smallest common denominator, which is 10.
Step-by-Step Conversion
- Divide 1.8 by 10: 1.8 ÷ 10 = 0.18
- Since 0.18 is a decimal, we need to find the equivalent fraction. To do this, we multiply both the numerator and the denominator by 10:
- Numerator: 18
- Denominator: 100
- Simplify the fraction by dividing both numbers by their greatest common divisor (GCD), which is 2:
- Numerator: 18 ÷ 2 = 9
- Denominator: 100 ÷ 2 = 50
Result: 1.8 Inches in Fraction Form
The converted fraction form of 1.8 inches is:
9/50
This means that 1.8 inches is equal to 9 parts out of 50 equal parts.
Importance of Converting Decimals to Fractions
Converting decimals to fractions is essential in various mathematical and real-world applications, such as:
- Measurement: When working with measurements, it's often necessary to convert decimals to fractions to simplify calculations and comparisons.
- Geometry: Fractions are used to describe geometric shapes and proportions, making conversions crucial for accurate calculations.
- Recipes: In cooking, converting decimals to fractions helps with scaling recipes and ensuring precise measurements.
In conclusion, converting 1.8 inches to a fraction requires understanding the concept of fractions and following a step-by-step approach. The result, 9/50, provides a simplified and accurate representation of the original decimal value.
