What is 0.0548 as a fraction in simplest form.

Answer: 0.0548 as a fraction is 137/2500

Converting the decimal number 0.0548 into a fraction might seem tricky at first, but with the right steps, it's straightforward. This guide will walk you through the entire process, ensuring you understand each part of the conversion.

How to write 0.0548 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.0548 can be broken down as:

0.0548 = 0 + 0.0548

Here, 0 is the whole number part, and 0.0548 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.0548, to a fraction. To do this, consider the place value of the decimal:

0.0548 =

548

10000

Step 3: Simplify the Fraction

Now, simplify the fraction 548/10000. To do this, find the greatest common divisor (GCD) of 548 and 10000.

Now, divide both the numerator and the denominator by their GCD:


548 ÷ 4

10000 ÷ 4

=

137

2500

So, 0.0548 as a fraction is 137/2500

Step 4: Combine the Whole Number and Fraction

Now that you have 0.0548 = 0 + 0.0548, express the entire number as a mixed fraction:

0.0548

= 0 +

137

2500

=

0

2500

+

137

2500

=

137

2500

Here, 0/2500 is the whole number 0, and 137/2500 is the fractional part.

Final Result Answer

Fraction Form of 0.0548 After simplifying, we get the final fraction:

Answer: 0.0548 = 137/2500

Conclusion

Converting 0.0548 to a fraction results in 137/2500. This detailed process of breaking down the decimal, converting it, simplifying, and then combining the parts gives you a clear understanding of how to handle such conversions in math, everyday calculations, or even complex problem-solving.

Calculated Values List