What is 45/70 as a Decimal? A Step-by-Step Guide
The question "What is 45/70 as a decimal?" is a straightforward fraction-to-decimal conversion problem. Let's break down how to solve it, and explore some related concepts.
Method 1: Simplification then Division
The most efficient approach often involves simplifying the fraction before converting it to a decimal. This makes the division easier.
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Find the Greatest Common Divisor (GCD): The GCD of 45 and 70 is 5. This means we can divide both the numerator (45) and the denominator (70) by 5.
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Simplify the Fraction: 45 ÷ 5 = 9 and 70 ÷ 5 = 14. Therefore, 45/70 simplifies to 9/14.
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Perform the Division: Now, divide the numerator (9) by the denominator (14): 9 ÷ 14 = 0.642857...
Method 2: Direct Division
Alternatively, you can convert the fraction directly without simplifying.
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Divide the Numerator by the Denominator: Divide 45 by 70 using a calculator or long division.
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Result: 45 ÷ 70 = 0.642857...
Understanding the Result
The decimal representation of 45/70 (or 9/14) is a repeating decimal. This means the digits after the decimal point repeat in a pattern (642857) infinitely. Depending on the context, you might round the decimal to a specific number of decimal places. For example:
- Rounded to two decimal places: 0.64
- Rounded to three decimal places: 0.643
- Rounded to four decimal places: 0.6429
Practical Applications
Understanding fraction-to-decimal conversions is crucial in various fields, including:
- Mathematics: Solving equations, working with percentages, and understanding proportions.
- Science: Analyzing data, performing calculations, and expressing measurements.
- Engineering: Designing structures, calculating quantities, and interpreting results.
- Finance: Calculating interest, analyzing investments, and managing budgets.
Therefore, mastering this skill provides a foundation for numerous applications across different disciplines. Knowing that 45/70 equals approximately 0.64 is a valuable piece of numerical literacy.
