0.008 As A Fraction Or Mixed Number In Simplest Form

2 min read Jul 04, 2024
0.008 As A Fraction Or Mixed Number In Simplest Form

0.008 as a Fraction or Mixed Number in Simplest Form

Converting 0.008 to a Fraction

To convert the decimal 0.008 to a fraction, we need to divide the numerator (the top number) by the denominator (the bottom number). In this case, the numerator is 8 and the denominator is 1000, since 0.008 is equivalent to 8/1000.

Step 1: Write the decimal as a fraction:

0.008 = 8/1000

Simplifying the Fraction

To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator. In this case, the GCD of 8 and 1000 is 4.

Step 2: Divide both the numerator and the denominator by the GCD:

8 ÷ 4 = 2
1000 ÷ 4 = 250

Simplified Fraction:

0.008 = 2/250

Converting to a Mixed Number (Optional)

If you want to convert the simplified fraction to a mixed number, you can do so by dividing the numerator by the denominator.

Step 3: Divide the numerator by the denominator:

2 ÷ 250 = 0 with a remainder of 2

Mixed Number:

0.008 = 0 2/250

However, since the whole number part is 0, the mixed number representation is not necessary in this case.

Conclusion

The decimal 0.008 can be converted to a fraction in simplest form as:

0.008 = 2/250

This is the simplest form of the fraction, and it can be used for mathematical calculations and operations.

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