Konversi Angka Desimal ke Pecahan dalam Bahasa Inggris
Converting a decimal number to a fraction might seem daunting at first, but it's a straightforward process with a few simple steps. This guide will walk you through the process, explaining the logic behind each step and providing examples to solidify your understanding.
Imagine you have a decimal number like 0.75. How do you express this as a fraction? The key lies in understanding that a decimal represents a part of a whole, just like a fraction. Let's delve into the steps involved in converting decimals to fractions.
Identifying the Place Value
The first step is to identify the place value of the last digit in the decimal. In our example, 0.75, the last digit, 5, is in the hundredths place. This means the decimal represents 75 out of 100 parts.
Expressing as a Fraction
Now, we can express the decimal as a fraction. Since the last digit is in the hundredths place, the denominator of the fraction will be 100. The numerator will be the decimal number without the decimal point, which is 75 in this case. Therefore, 0.75 can be written as 75/100.
Simplifying the Fraction
The final step is to simplify the fraction to its lowest terms. Both 75 and 100 are divisible by 25. Dividing both the numerator and denominator by 25, we get 3/4. Therefore, the simplified fraction equivalent of 0.75 is 3/4.
Handling Decimals with Whole Numbers
What if the decimal number has a whole number part, like 2.35? We can still convert it to a fraction. First, separate the whole number and the decimal part. In this case, we have 2 and 0.35. Convert the decimal part to a fraction as explained earlier, which gives us 35/100. Now, add the whole number part, keeping the denominator the same. This gives us 2 + 35/100. To combine them, multiply the whole number by the denominator and add the numerator, keeping the denominator the same. This gives us (2 * 100 + 35)/100 = 235/100. Finally, simplify the fraction to its lowest terms, which is 47/20.
Conclusion
Converting a decimal to a fraction is a simple process that involves identifying the place value of the last digit, expressing it as a fraction, and simplifying it to its lowest terms. By understanding the logic behind each step, you can confidently convert any decimal number to its equivalent fraction. Remember, practice makes perfect, so try converting different decimals to fractions to solidify your understanding.