Answer: 0.7320 as a fraction is 183/250
Converting the decimal number 0.7320 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 0.7320 can be broken down as:
0.7320 = 0 + 0.732
Here, 0 is the whole number part, and 0.732 is the decimal part.
Focus on converting the decimal part, 0.732, to a fraction. To do this, consider the place value of the decimal:
0.732 =
732
1000
Now, simplify the fraction 732/1000. To do this, find the greatest common divisor (GCD) of 732 and 1000.
Now, divide both the numerator and the denominator by their GCD:
732 ÷ 4
1000 ÷ 4
=
183
250
So, 0.732 as a fraction is 183/250
Now that you have 0.7320 = 0 + 0.732, express the entire number as a mixed fraction:
0.7320
= 0 +
183
250
=
0
250
+
183
250
=
183
250
Here, 0/250 is the whole number 0, and 183/250 is the fractional part.
Answer: 0.7320 = 183/250
Converting 0.7320 to a fraction results in 183/250. 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.