Answer: 0.5250 as a fraction is 21/40
Converting the decimal number 0.5250 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 0.5250 can be broken down as:
0.5250 = 0 + 0.525
Here, 0 is the whole number part, and 0.525 is the decimal part.
Focus on converting the decimal part, 0.525, to a fraction. To do this, consider the place value of the decimal:
0.525 =
525
1000
Now, simplify the fraction 525/1000. To do this, find the greatest common divisor (GCD) of 525 and 1000.
Now, divide both the numerator and the denominator by their GCD:
525 ÷ 25
1000 ÷ 25
=
21
40
So, 0.525 as a fraction is 21/40
Now that you have 0.5250 = 0 + 0.525, express the entire number as a mixed fraction:
0.5250
= 0 +
21
40
=
0
40
+
21
40
=
21
40
Here, 0/40 is the whole number 0, and 21/40 is the fractional part.
Answer: 0.5250 = 21/40
Converting 0.5250 to a fraction results in 21/40. 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.