What is 1.0770 as a fraction in simplest form.

Converting the decimal number 1.0770 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 1.0770 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 1.0770 can be broken down as:

Here, 1 is the whole number part, and 0.077 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.077, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 77/1000. To do this, find the greatest common divisor (GCD) of 77 and 1000.

• The GCD of 77 and 1000 is 4.

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

So, 0.077 as a fraction is 19.25/250

Step 4: Combine the Whole Number and Fraction

Now that you have 1.0770 = 1 + 0.077, express the entire number as a mixed fraction:

Here, 250/250 is the whole number 1, and 19.25/250 is the fractional part.

Final Result Answer

Fraction Form of 1.0770 After simplifying, we get the final fraction:

Conclusion

Converting 1.0770 to a fraction results in 269.25/250. 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.