Answer: 0.6070 as a fraction is 607/1000
Converting the decimal number 0.6070 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.
The decimal 0.6070 can be broken down as:
0.6070 = 0 + 0.607
Here, 0 is the whole number part, and 0.607 is the decimal part.
Focus on converting the decimal part, 0.607, to a fraction. To do this, consider the place value of the decimal:
0.607 =
607
1000
Now, simplify the fraction 607/1000. To do this, find the greatest common divisor (GCD) of 607 and 1000.
Now, divide both the numerator and the denominator by their GCD:
607 ÷ 1
1000 ÷ 1
=
607
1000
So, 0.607 as a fraction is 607/1000
Now that you have 0.6070 = 0 + 0.607, express the entire number as a mixed fraction:
0.6070
= 0 +
607
1000
=
0
1000
+
607
1000
=
607
1000
Here, 0/1000 is the whole number 0, and 607/1000 is the fractional part.
Answer: 0.6070 = 607/1000
Converting 0.6070 to a fraction results in 607/1000. 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.