What is 1.1501 as a fraction in simplest form.

Answer: 1.1501 as a fraction is 23.002/20

Converting the decimal number 1.1501 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 1.1501 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 1.1501 can be broken down as:

1.1501 = 1 + 0.1501

Here, 1 is the whole number part, and 0.1501 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.1501, to a fraction. To do this, consider the place value of the decimal:

0.1501 =

1501

10000

Step 3: Simplify the Fraction

Now, simplify the fraction 1501/10000. To do this, find the greatest common divisor (GCD) of 1501 and 10000.

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


1501 ÷ 500

10000 ÷ 500

=

3.002

20

So, 0.1501 as a fraction is 3.002/20

Step 4: Combine the Whole Number and Fraction

Now that you have 1.1501 = 1 + 0.1501, express the entire number as a mixed fraction:

1.1501

= 1 +

3.002

20

=

20

20

+

3.002

20

=

23.002

20

Here, 20/20 is the whole number 1, and 3.002/20 is the fractional part.

Final Result Answer

Fraction Form of 1.1501 After simplifying, we get the final fraction:

Answer: 1.1501 = 23.002/20

Conclusion

Converting 1.1501 to a fraction results in 23.002/20. 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