What is 1.3712 as a fraction in simplest form.

Answer: 1.3712 as a fraction is 13712/10000

Converting the decimal number 1.3712 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 1.3712 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 1.3712 can be broken down as:

1.3712 = 1 + 0.3712

Here, 1 is the whole number part, and 0.3712 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.3712, to a fraction. To do this, consider the place value of the decimal:

0.3712 =

3712

10000

Step 3: Simplify the Fraction

Now, simplify the fraction 3712/10000. To do this, find the greatest common divisor (GCD) of 3712 and 10000.

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


3712 ÷ 1

10000 ÷ 1

=

3712

10000

So, 0.3712 as a fraction is 3712/10000

Step 4: Combine the Whole Number and Fraction

Now that you have 1.3712 = 1 + 0.3712, express the entire number as a mixed fraction:

1.3712

= 1 +

3712

10000

=

10000

10000

+

3712

10000

=

13712

10000

Here, 10000/10000 is the whole number 1, and 3712/10000 is the fractional part.

Final Result Answer

Fraction Form of 1.3712 After simplifying, we get the final fraction:

Answer: 1.3712 = 13712/10000

Conclusion

Converting 1.3712 to a fraction results in 13712/10000. 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