Answer: 1.0548 as a fraction is 10548/10000
Converting the decimal number 1.0548 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 1.0548 can be broken down as:
1.0548 = 1 + 0.0548
Here, 1 is the whole number part, and 0.0548 is the decimal part.
Focus on converting the decimal part, 0.0548, to a fraction. To do this, consider the place value of the decimal:
0.0548 =
548
10000
Now, simplify the fraction 548/10000. To do this, find the greatest common divisor (GCD) of 548 and 10000.
Now, divide both the numerator and the denominator by their GCD:
548 ÷ 1
10000 ÷ 1
=
548
10000
So, 0.0548 as a fraction is 548/10000
Now that you have 1.0548 = 1 + 0.0548, express the entire number as a mixed fraction:
1.0548
= 1 +
548
10000
=
10000
10000
+
548
10000
=
10548
10000
Here, 10000/10000 is the whole number 1, and 548/10000 is the fractional part.
Answer: 1.0548 = 10548/10000
Converting 1.0548 to a fraction results in 10548/10000. 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.