What is 3.0E-5 as a fraction?

Numbers can be represented in a variety of ways including percentages, decimals, and fractions. The ability to convert any number from one format to another is an important math skill to have. These skills are typically thought in fifth grade math and require an understanding of place values and Greatest Common Factor (GCF).

In this article, we teach those skills step by step while demonstrating how to convert decimal 3.0E-5 into a fraction.

Answer: 3.0E-5 as a fraction equals 30000/10000 or 3/1

Here is the solution for converting 3.0E-5 to a fraction:

Step 1:

First, we write 3.0E-5 as

3.0E-5/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point. Remember the numerator is the top part of the fraction and the denominator is the bottom part!

3.0E-5/1

3.0E-5 x 10000/1 x 10000

30000/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 30000 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 30000 are: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
So for 30000 and 10000 that gives us a GCF value of: 10000

Step 4:

For the last step we reduce the fraction. This just means writing the fraction in the simplest way. To do this we divide both the numerator and denominator by the GCF value we determined in step 3.

30000/10000

30000 ÷ 10000/10000 ÷ 10000

3/1

Good work! We have just walked through the steps on how to represent 3.0E-5 as a fraction.

What is 3.0E-5 as a fraction?

Answer: 3.0E-5 as a fraction equals 30000/10000 or 3/1

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