Answer: 0.1070 as a fraction is 107/1000
Converting the decimal number 0.1070 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 0.1070 can be broken down as:
0.1070 = 0 + 0.107
Here, 0 is the whole number part, and 0.107 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.107, to a fraction. To do this, consider the place value of the decimal:
0.107 =
107
1000
Now, simplify the fraction 107/1000. To do this, find the greatest common divisor (GCD) of 107 and 1000.
Now, divide both the numerator and the denominator by their GCD:
107 ÷ 1
1000 ÷ 1
=
107
1000
So, 0.107 as a fraction is 107/1000
Step 4: Combine the Whole Number and FractionNow that you have 0.1070 = 0 + 0.107, express the entire number as a mixed fraction:
0.1070
= 0 +
107
1000
=
0
1000
+
107
1000
=
107
1000
Here, 0/1000 is the whole number 0, and 107/1000 is the fractional part.
Final Result: Fraction Form of 0.1070 After simplifying, we get the final fraction:
Answer: 0.1070 = 107/1000
Converting 0.1070 to a fraction results in 107/1000. 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.