Answer: 1.3712 as a fraction is 13712/10000
Converting the decimal number 1.3712 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 1.3712 can be broken down as:
1.3712 = 1 + 0.3712
Here, 1 is the whole number part, and 0.3712 is the decimal part.
Focus on converting the decimal part, 0.3712, to a fraction. To do this, consider the place value of the decimal:
0.3712 =
3712
10000
Now, simplify the fraction 3712/10000. To do this, find the greatest common divisor (GCD) of 3712 and 10000.
Now, divide both the numerator and the denominator by their GCD:
3712 ÷ 1
10000 ÷ 1
=
3712
10000
So, 0.3712 as a fraction is 3712/10000
Now that you have 1.3712 = 1 + 0.3712, express the entire number as a mixed fraction:
1.3712
= 1 +
3712
10000
=
10000
10000
+
3712
10000
=
13712
10000
Here, 10000/10000 is the whole number 1, and 3712/10000 is the fractional part.
Answer: 1.3712 = 13712/10000
Converting 1.3712 to a fraction results in 13712/10000. 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.