Answer: 0.1470 as a fraction is 147/1000
Converting the decimal number 0.1470 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 0.1470 can be broken down as:
0.1470 = 0 + 0.147
Here, 0 is the whole number part, and 0.147 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.147, to a fraction. To do this, consider the place value of the decimal:
0.147 =
147
1000
Now, simplify the fraction 147/1000. To do this, find the greatest common divisor (GCD) of 147 and 1000.
Now, divide both the numerator and the denominator by their GCD:
147 ÷ 1
1000 ÷ 1
=
147
1000
So, 0.147 as a fraction is 147/1000
Step 4: Combine the Whole Number and FractionNow that you have 0.1470 = 0 + 0.147, express the entire number as a mixed fraction:
0.1470
= 0 +
147
1000
=
0
1000
+
147
1000
=
147
1000
Here, 0/1000 is the whole number 0, and 147/1000 is the fractional part.
Final Result: Fraction Form of 0.1470 After simplifying, we get the final fraction:
Answer: 0.1470 = 147/1000
Converting 0.1470 to a fraction results in 147/1000. 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.