Answer: 1.6620 as a fraction is 1662/1000
Converting the decimal number 1.6620 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 1.6620 can be broken down as:
1.6620 = 1 + 0.662
Here, 1 is the whole number part, and 0.662 is the decimal part.
Focus on converting the decimal part, 0.662, to a fraction. To do this, consider the place value of the decimal:
0.662 =
662
1000
Now, simplify the fraction 662/1000. To do this, find the greatest common divisor (GCD) of 662 and 1000.
Now, divide both the numerator and the denominator by their GCD:
662 ÷ 1
1000 ÷ 1
=
662
1000
So, 0.662 as a fraction is 662/1000
Now that you have 1.6620 = 1 + 0.662, express the entire number as a mixed fraction:
1.6620
= 1 +
662
1000
=
1000
1000
+
662
1000
=
1662
1000
Here, 1000/1000 is the whole number 1, and 662/1000 is the fractional part.
Answer: 1.6620 = 1662/1000
Converting 1.6620 to a fraction results in 1662/1000. 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.