Answer: 0.9480 as a fraction is 237/250
Converting the decimal number 0.9480 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 0.9480 can be broken down as:
0.9480 = 0 + 0.948
Here, 0 is the whole number part, and 0.948 is the decimal part.
Focus on converting the decimal part, 0.948, to a fraction. To do this, consider the place value of the decimal:
0.948 =
948
1000
Now, simplify the fraction 948/1000. To do this, find the greatest common divisor (GCD) of 948 and 1000.
Now, divide both the numerator and the denominator by their GCD:
948 ÷ 4
1000 ÷ 4
=
237
250
So, 0.948 as a fraction is 237/250
Now that you have 0.9480 = 0 + 0.948, express the entire number as a mixed fraction:
0.9480
= 0 +
237
250
=
0
250
+
237
250
=
237
250
Here, 0/250 is the whole number 0, and 237/250 is the fractional part.
Answer: 0.9480 = 237/250
Converting 0.9480 to a fraction results in 237/250. 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.