1.23 in fraction

Breiz Heurope

2 min read

·

11-03-2025

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1.23 might seem like a simple decimal, but converting it to a fraction requires understanding the place value of decimals. This guide will show you how, with explanations to help you understand the process. We'll cover the basic method, and then explore simplifying the fraction to its lowest terms.

Understanding Decimal Places

Before we begin, let's quickly review decimal places. In the number 1.23:

• 1 is in the ones place.
• 2 is in the tenths place (1/10).
• 3 is in the hundredths place (1/100).

This tells us that 1.23 can be written as 1 + 2/10 + 3/100.

Converting 1.23 to a Fraction: The Method

Here's how to convert 1.23 into a fraction:

1. Write the decimal as a fraction over 1: This is our starting point. We write 1.23 as 1.23/1.

2. Multiply the numerator and denominator by 100: Since the decimal extends to the hundredths place (two decimal places), we multiply both the top and bottom by 100 (10 to the power of the number of decimal places). This eliminates the decimal point. This gives us (1.23 * 100) / (1 * 100) = 123/100.

3. Simplify the fraction (if possible): In this case, 123 and 100 share no common factors other than 1. Therefore, 123/100 is already in its simplest form.

1.23 as a Mixed Number

While 123/100 is correct, it's also often helpful to express this as a mixed number. A mixed number combines a whole number and a fraction. Here's how:

1. Divide the numerator by the denominator: 123 ÷ 100 = 1 with a remainder of 23.

2. Express the result as a mixed number: The whole number is 1, and the remainder (23) becomes the numerator of the fraction. The denominator remains the same (100). Therefore, 123/100 = 1 23/100.

Conclusion: 1.23 as a Fraction

So, the answer to the question "What is 1.23 as a fraction?" is 123/100 or 1 23/100. Both are correct, and the best form to use depends on the context. Remember the steps: remove the decimal point by multiplying, and then simplify if possible. Understanding decimal places is key to mastering this conversion.