Answer: 1.0348 as a fraction is 10348/10000
Converting the decimal number 1.0348 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 1.0348 can be broken down as:
1.0348 = 1 + 0.0348
Here, 1 is the whole number part, and 0.0348 is the decimal part.
Focus on converting the decimal part, 0.0348, to a fraction. To do this, consider the place value of the decimal:
0.0348 =
348
10000
Now, simplify the fraction 348/10000. To do this, find the greatest common divisor (GCD) of 348 and 10000.
Now, divide both the numerator and the denominator by their GCD:
348 ÷ 1
10000 ÷ 1
=
348
10000
So, 0.0348 as a fraction is 348/10000
Now that you have 1.0348 = 1 + 0.0348, express the entire number as a mixed fraction:
1.0348
= 1 +
348
10000
=
10000
10000
+
348
10000
=
10348
10000
Here, 10000/10000 is the whole number 1, and 348/10000 is the fractional part.
Answer: 1.0348 = 10348/10000
Converting 1.0348 to a fraction results in 10348/10000. 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.