Answer: 0.3780 as a fraction is 189/500
Converting the decimal number 0.3780 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 0.3780 can be broken down as:
0.3780 = 0 + 0.378
Here, 0 is the whole number part, and 0.378 is the decimal part.
Focus on converting the decimal part, 0.378, to a fraction. To do this, consider the place value of the decimal:
0.378 =
378
1000
Now, simplify the fraction 378/1000. To do this, find the greatest common divisor (GCD) of 378 and 1000.
Now, divide both the numerator and the denominator by their GCD:
378 ÷ 2
1000 ÷ 2
=
189
500
So, 0.378 as a fraction is 189/500
Now that you have 0.3780 = 0 + 0.378, express the entire number as a mixed fraction:
0.3780
= 0 +
189
500
=
0
500
+
189
500
=
189
500
Here, 0/500 is the whole number 0, and 189/500 is the fractional part.
Answer: 0.3780 = 189/500
Converting 0.3780 to a fraction results in 189/500. 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.