Answer: 0.1561 as a fraction is 1561/10000
Converting the decimal number 0.1561 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 DecimalThe decimal 0.1561 can be broken down as:
0.1561 = 0 + 0.1561
Here, 0 is the whole number part, and 0.1561 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1561, to a fraction. To do this, consider the place value of the decimal:
0.1561 =
1561
10000
Now, simplify the fraction 1561/10000. To do this, find the greatest common divisor (GCD) of 1561 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1561 ÷ 1
10000 ÷ 1
=
1561
10000
So, 0.1561 as a fraction is 1561/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.1561 = 0 + 0.1561, express the entire number as a mixed fraction:
0.1561
= 0 +
1561
10000
=
0
10000
+
1561
10000
=
1561
10000
Here, 0/10000 is the whole number 0, and 1561/10000 is the fractional part.
Final Result: Fraction Form of 0.1561 After simplifying, we get the final fraction:
Answer: 0.1561 = 1561/10000
Converting 0.1561 to a fraction results in 1561/10000. 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.