0.42 As A Fraction In Simplest Form

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Converting 0.42 to a Fraction in Simplest Form

Converting decimals to fractions is a fundamental concept in mathematics. In this article, we will explore how to convert the decimal 0.42 to a fraction in its simplest form.

Understanding the Decimal System

The decimal system is a way of representing numbers using a base-10 number system. In this system, each digit in a number can have one of 10 possible values, ranging from 0 to 9. Decimals are used to represent fractions or parts of a whole.

Converting 0.42 to a Fraction

To convert 0.42 to a fraction, we need to express it as a ratio of two integers. We can do this by considering the place value of each digit in the decimal.

The decimal 0.42 can be written as 42/100, since there are two digits after the decimal point.

Simplifying the Fraction

To simplify the fraction 42/100, we need to find the greatest common divisor (GCD) of the numerator and denominator.

The GCD of 42 and 100 is 2. To simplify the fraction, we divide both the numerator and denominator by the GCD.

42 ÷ 2 = 21 100 ÷ 2 = 50

Therefore, the simplified fraction is 21/50.

Verifying the Answer

To verify our answer, we can convert the fraction back to a decimal.

21 ÷ 50 = 0.42

This confirms that our answer is correct.

Conclusion

In conclusion, converting 0.42 to a fraction in simplest form involves expressing it as a ratio of two integers and simplifying the fraction by dividing both the numerator and denominator by the greatest common divisor. The simplified fraction is 21/50.

We hope this article has been helpful in explaining how to convert decimals to fractions. If you have any questions or need further clarification, please leave a comment below.

Gallery of Converting Decimals to Fractions