Answer: 1.6622 as a fraction is 16622/10000
Converting the decimal number 1.6622 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 1.6622 can be broken down as:
1.6622 = 1 + 0.6622
Here, 1 is the whole number part, and 0.6622 is the decimal part.
Focus on converting the decimal part, 0.6622, to a fraction. To do this, consider the place value of the decimal:
0.6622 =
6622
10000
Now, simplify the fraction 6622/10000. To do this, find the greatest common divisor (GCD) of 6622 and 10000.
Now, divide both the numerator and the denominator by their GCD:
6622 ÷ 1
10000 ÷ 1
=
6622
10000
So, 0.6622 as a fraction is 6622/10000
Now that you have 1.6622 = 1 + 0.6622, express the entire number as a mixed fraction:
1.6622
= 1 +
6622
10000
=
10000
10000
+
6622
10000
=
16622
10000
Here, 10000/10000 is the whole number 1, and 6622/10000 is the fractional part.
Answer: 1.6622 = 16622/10000
Converting 1.6622 to a fraction results in 16622/10000. 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.