Answer: 1.4240 as a fraction is 1424/1000
Converting the decimal number 1.4240 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 1.4240 can be broken down as:
1.4240 = 1 + 0.424
Here, 1 is the whole number part, and 0.424 is the decimal part.
Focus on converting the decimal part, 0.424, to a fraction. To do this, consider the place value of the decimal:
0.424 =
424
1000
Now, simplify the fraction 424/1000. To do this, find the greatest common divisor (GCD) of 424 and 1000.
Now, divide both the numerator and the denominator by their GCD:
424 ÷ 1
1000 ÷ 1
=
424
1000
So, 0.424 as a fraction is 424/1000
Now that you have 1.4240 = 1 + 0.424, express the entire number as a mixed fraction:
1.4240
= 1 +
424
1000
=
1000
1000
+
424
1000
=
1424
1000
Here, 1000/1000 is the whole number 1, and 424/1000 is the fractional part.
Answer: 1.4240 = 1424/1000
Converting 1.4240 to a fraction results in 1424/1000. 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.