Answer: 1.5550 as a fraction is 777.5/500
Converting the decimal number 1.5550 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 1.5550 can be broken down as:
1.5550 = 1 + 0.555
Here, 1 is the whole number part, and 0.555 is the decimal part.
Focus on converting the decimal part, 0.555, to a fraction. To do this, consider the place value of the decimal:
0.555 =
555
1000
Now, simplify the fraction 555/1000. To do this, find the greatest common divisor (GCD) of 555 and 1000.
Now, divide both the numerator and the denominator by their GCD:
555 ÷ 2
1000 ÷ 2
=
277.5
500
So, 0.555 as a fraction is 277.5/500
Now that you have 1.5550 = 1 + 0.555, express the entire number as a mixed fraction:
1.5550
= 1 +
277.5
500
=
500
500
+
277.5
500
=
777.5
500
Here, 500/500 is the whole number 1, and 277.5/500 is the fractional part.
Answer: 1.5550 = 777.5/500
Converting 1.5550 to a fraction results in 777.5/500. 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.