Answer: 1.0672 as a fraction is 10672/10000
Converting the decimal number 1.0672 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 1.0672 can be broken down as:
1.0672 = 1 + 0.0672
Here, 1 is the whole number part, and 0.0672 is the decimal part.
Focus on converting the decimal part, 0.0672, to a fraction. To do this, consider the place value of the decimal:
0.0672 =
672
10000
Now, simplify the fraction 672/10000. To do this, find the greatest common divisor (GCD) of 672 and 10000.
Now, divide both the numerator and the denominator by their GCD:
672 ÷ 1
10000 ÷ 1
=
672
10000
So, 0.0672 as a fraction is 672/10000
Now that you have 1.0672 = 1 + 0.0672, express the entire number as a mixed fraction:
1.0672
= 1 +
672
10000
=
10000
10000
+
672
10000
=
10672
10000
Here, 10000/10000 is the whole number 1, and 672/10000 is the fractional part.
Answer: 1.0672 = 10672/10000
Converting 1.0672 to a fraction results in 10672/10000. 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.