Answer: 1.7348 as a fraction is 17348/10000
Converting the decimal number 1.7348 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 1.7348 can be broken down as:
1.7348 = 1 + 0.7348
Here, 1 is the whole number part, and 0.7348 is the decimal part.
Focus on converting the decimal part, 0.7348, to a fraction. To do this, consider the place value of the decimal:
0.7348 =
7348
10000
Now, simplify the fraction 7348/10000. To do this, find the greatest common divisor (GCD) of 7348 and 10000.
Now, divide both the numerator and the denominator by their GCD:
7348 ÷ 1
10000 ÷ 1
=
7348
10000
So, 0.7348 as a fraction is 7348/10000
Now that you have 1.7348 = 1 + 0.7348, express the entire number as a mixed fraction:
1.7348
= 1 +
7348
10000
=
10000
10000
+
7348
10000
=
17348
10000
Here, 10000/10000 is the whole number 1, and 7348/10000 is the fractional part.
Answer: 1.7348 = 17348/10000
Converting 1.7348 to a fraction results in 17348/10000. 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.