Answer: 0.9070 as a fraction is 907/1000
Converting the decimal number 0.9070 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 0.9070 can be broken down as:
0.9070 = 0 + 0.907
Here, 0 is the whole number part, and 0.907 is the decimal part.
Focus on converting the decimal part, 0.907, to a fraction. To do this, consider the place value of the decimal:
0.907 =
907
1000
Now, simplify the fraction 907/1000. To do this, find the greatest common divisor (GCD) of 907 and 1000.
Now, divide both the numerator and the denominator by their GCD:
907 ÷ 1
1000 ÷ 1
=
907
1000
So, 0.907 as a fraction is 907/1000
Now that you have 0.9070 = 0 + 0.907, express the entire number as a mixed fraction:
0.9070
= 0 +
907
1000
=
0
1000
+
907
1000
=
907
1000
Here, 0/1000 is the whole number 0, and 907/1000 is the fractional part.
Answer: 0.9070 = 907/1000
Converting 0.9070 to a fraction results in 907/1000. 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.