Answer: 1.0528 as a fraction is 10528/10000
Converting the decimal number 1.0528 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 1.0528 can be broken down as:
1.0528 = 1 + 0.0528
Here, 1 is the whole number part, and 0.0528 is the decimal part.
Focus on converting the decimal part, 0.0528, to a fraction. To do this, consider the place value of the decimal:
0.0528 =
528
10000
Now, simplify the fraction 528/10000. To do this, find the greatest common divisor (GCD) of 528 and 10000.
Now, divide both the numerator and the denominator by their GCD:
528 ÷ 1
10000 ÷ 1
=
528
10000
So, 0.0528 as a fraction is 528/10000
Now that you have 1.0528 = 1 + 0.0528, express the entire number as a mixed fraction:
1.0528
= 1 +
528
10000
=
10000
10000
+
528
10000
=
10528
10000
Here, 10000/10000 is the whole number 1, and 528/10000 is the fractional part.
Answer: 1.0528 = 10528/10000
Converting 1.0528 to a fraction results in 10528/10000. 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.