Answer: 0.9370 as a fraction is 937/1000
Converting the decimal number 0.9370 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 0.9370 can be broken down as:
0.9370 = 0 + 0.937
Here, 0 is the whole number part, and 0.937 is the decimal part.
Focus on converting the decimal part, 0.937, to a fraction. To do this, consider the place value of the decimal:
0.937 =
937
1000
Now, simplify the fraction 937/1000. To do this, find the greatest common divisor (GCD) of 937 and 1000.
Now, divide both the numerator and the denominator by their GCD:
937 ÷ 1
1000 ÷ 1
=
937
1000
So, 0.937 as a fraction is 937/1000
Now that you have 0.9370 = 0 + 0.937, express the entire number as a mixed fraction:
0.9370
= 0 +
937
1000
=
0
1000
+
937
1000
=
937
1000
Here, 0/1000 is the whole number 0, and 937/1000 is the fractional part.
Answer: 0.9370 = 937/1000
Converting 0.9370 to a fraction results in 937/1000. 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.