Math Tutor Explains: What is 429.329 as a fraction?

"Fractions can be expressed in different forms, including decimals and percentages, making it a valuable skill to convert between them quickly. A math tutor can help simplify this process, ensuring a strong understanding of number conversions. In this guide, we’ll walk you through how to convert 429.329 from a decimal to a fraction step by step."

Math Tutor's Solution: 429.329 as a fraction is 429329/1000

Methods

Converting 429.329 to a fraction, Step-by-Step from a Math Tutor

Step 1:

The first step to converting 429.329 to a fraction is to re-write 429.329 in the form p/q where p and q both are positive integers. To start with, 429.329 can be written as simply 429.329/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 429.329, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 429.329/1 each by 10 to the power of that many digits. For instance, for 0.45, there are 2 fractional digits so we would multiply by 100; or for 0.324, since there are 3 fractional digits, we would multiply by 1000. So, in this case, we will multiply the numerator and denominator of 429.329/1 each by 1000:

429.329×10001×1000=4293291000\frac{429.329 × 1000}{1 × 1000} = \frac{429329}{1000}

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:

4293291000=4293291000\frac{429329}{1000} = \frac{429329}{1000}

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