What is 0.1560 as a fraction in simplest form.

Answer: 0.1560 as a fraction is 39/250

Converting the decimal number 0.1560 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.

Step 1: Understand the Decimal

The decimal 0.1560 can be broken down as:

0.1560 = 0 + 0.156


Here, 0 is the whole number part, and 0.156 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.156, to a fraction. To do this, consider the place value of the decimal:

0.156 =

156

1000


Step 3: Simplify the Fraction

Now, simplify the fraction 156/1000. To do this, find the greatest common divisor (GCD) of 156 and 1000.

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


156 ÷ 4

1000 ÷ 4

=

39

250



So, 0.156 as a fraction is 39/250


Step 4: Combine the Whole Number and Fraction

Now that you have 0.1560 = 0 + 0.156, express the entire number as a mixed fraction:

0.1560

= 0 +

39

250

=

0

250

+

39

250

=

39

250



Here, 0/250 is the whole number 0, and 39/250 is the fractional part.



Final Result: Fraction Form of 0.1560 After simplifying, we get the final fraction:

Answer: 0.1560 = 39/250



Conclusion

Converting 0.1560 to a fraction results in 39/250. 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.

Calculated Values List