Answer: 0.5210 as a fraction is 521/1000
Converting the decimal number 0.5210 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 0.5210 can be broken down as:
0.5210 = 0 + 0.521
Here, 0 is the whole number part, and 0.521 is the decimal part.
Focus on converting the decimal part, 0.521, to a fraction. To do this, consider the place value of the decimal:
0.521 =
521
1000
Now, simplify the fraction 521/1000. To do this, find the greatest common divisor (GCD) of 521 and 1000.
Now, divide both the numerator and the denominator by their GCD:
521 ÷ 1
1000 ÷ 1
=
521
1000
So, 0.521 as a fraction is 521/1000
Now that you have 0.5210 = 0 + 0.521, express the entire number as a mixed fraction:
0.5210
= 0 +
521
1000
=
0
1000
+
521
1000
=
521
1000
Here, 0/1000 is the whole number 0, and 521/1000 is the fractional part.
Answer: 0.5210 = 521/1000
Converting 0.5210 to a fraction results in 521/1000. 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.