Answer: 1.0610 as a fraction is 53.05/50
Converting the decimal number 1.0610 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 1.0610 can be broken down as:
1.0610 = 1 + 0.061
Here, 1 is the whole number part, and 0.061 is the decimal part.
Focus on converting the decimal part, 0.061, to a fraction. To do this, consider the place value of the decimal:
0.061 =
61
1000
Now, simplify the fraction 61/1000. To do this, find the greatest common divisor (GCD) of 61 and 1000.
Now, divide both the numerator and the denominator by their GCD:
61 ÷ 20
1000 ÷ 20
=
3.05
50
So, 0.061 as a fraction is 3.05/50
Now that you have 1.0610 = 1 + 0.061, express the entire number as a mixed fraction:
1.0610
= 1 +
3.05
50
=
50
50
+
3.05
50
=
53.05
50
Here, 50/50 is the whole number 1, and 3.05/50 is the fractional part.
Answer: 1.0610 = 53.05/50
Converting 1.0610 to a fraction results in 53.05/50. 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.