Answer: 0.7014 as a fraction is 3507/5000
Converting the decimal number 0.7014 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 0.7014 can be broken down as:
0.7014 = 0 + 0.7014
Here, 0 is the whole number part, and 0.7014 is the decimal part.
Focus on converting the decimal part, 0.7014, to a fraction. To do this, consider the place value of the decimal:
0.7014 =
7014
10000
Now, simplify the fraction 7014/10000. To do this, find the greatest common divisor (GCD) of 7014 and 10000.
Now, divide both the numerator and the denominator by their GCD:
7014 ÷ 2
10000 ÷ 2
=
3507
5000
So, 0.7014 as a fraction is 3507/5000
Now that you have 0.7014 = 0 + 0.7014, express the entire number as a mixed fraction:
0.7014
= 0 +
3507
5000
=
0
5000
+
3507
5000
=
3507
5000
Here, 0/5000 is the whole number 0, and 3507/5000 is the fractional part.
Answer: 0.7014 = 3507/5000
Converting 0.7014 to a fraction results in 3507/5000. 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.