Answer: 0.0875 as a fraction is 7/80
Converting the decimal number 0.0875 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 0.0875 can be broken down as:
0.0875 = 0 + 0.0875
Here, 0 is the whole number part, and 0.0875 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0875, to a fraction. To do this, consider the place value of the decimal:
0.0875 =
875
10000
Now, simplify the fraction 875/10000. To do this, find the greatest common divisor (GCD) of 875 and 10000.
Now, divide both the numerator and the denominator by their GCD:
875 ÷ 125
10000 ÷ 125
=
7
80
So, 0.0875 as a fraction is 7/80
Step 4: Combine the Whole Number and FractionNow that you have 0.0875 = 0 + 0.0875, express the entire number as a mixed fraction:
0.0875
= 0 +
7
80
=
0
80
+
7
80
=
7
80
Here, 0/80 is the whole number 0, and 7/80 is the fractional part.
Final Result: Fraction Form of 0.0875 After simplifying, we get the final fraction:
Answer: 0.0875 = 7/80
Converting 0.0875 to a fraction results in 7/80. 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.