.84 As A Fraction In Simplest Form

3 min read Jul 02, 2024
.84 As A Fraction In Simplest Form

.84 as a Fraction in Simplest Form

Converting a decimal number to a fraction can be a bit tricky, but don't worry, we're here to help. In this article, we'll show you how to convert .84 to a fraction in its simplest form.

What is .84 as a Fraction?

To convert .84 to a fraction, we need to find the equivalent fraction that has a decimal value of .84. The easiest way to do this is to divide .84 by 1.

.84 ÷ 1 = 84/100

Simplifying the Fraction

The fraction 84/100 is not in its simplest form. To simplify it, we need to find the greatest common divisor (GCD) of 84 and 100.

The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The factors of 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100

The GCD of 84 and 100 is 4. So, we can divide both the numerator and the denominator by 4.

84 ÷ 4 = 21 100 ÷ 4 = 25

Simplest Form

Now, we have our fraction in its simplest form:

.84 = 21/25

There you have it! .84 converted to a fraction in its simplest form.

Conclusion

Converting decimals to fractions can be a bit challenging, but with a few simple steps, you can easily do it. Remember to find the equivalent fraction, simplify it by finding the GCD, and then divide both the numerator and the denominator by the GCD. With this process, you can convert any decimal number to a fraction in its simplest form.

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