Answer: 1.0572 as a fraction is 10572/10000
Converting the decimal number 1.0572 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 1.0572 can be broken down as:
1.0572 = 1 + 0.0572
Here, 1 is the whole number part, and 0.0572 is the decimal part.
Focus on converting the decimal part, 0.0572, to a fraction. To do this, consider the place value of the decimal:
0.0572 =
572
10000
Now, simplify the fraction 572/10000. To do this, find the greatest common divisor (GCD) of 572 and 10000.
Now, divide both the numerator and the denominator by their GCD:
572 ÷ 1
10000 ÷ 1
=
572
10000
So, 0.0572 as a fraction is 572/10000
Now that you have 1.0572 = 1 + 0.0572, express the entire number as a mixed fraction:
1.0572
= 1 +
572
10000
=
10000
10000
+
572
10000
=
10572
10000
Here, 10000/10000 is the whole number 1, and 572/10000 is the fractional part.
Answer: 1.0572 = 10572/10000
Converting 1.0572 to a fraction results in 10572/10000. 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.