Question
Write –5.687 as a mixed number.
Answers
GPT-4o mini
To convert –5.687 to a mixed number, we can break it down as follows:
1. The whole number part is –5.
2. The decimal part is 0.687.
Next, we convert the decimal 0.687 into a fraction. Since 0.687 is in the thousandths place, we can write it as:
\[
0.687 = \frac{687}{1000}
\]
Now, we need to simplify \(\frac{687}{1000}\). We check for the greatest common divisor (GCD) of 687 and 1000. The GCD is 1, so the fraction is already in its simplest form.
Now we can combine the whole number and the fraction:
\[
-5.687 = -5 \frac{687}{1000}
\]
Thus, –5.687 as a mixed number is:
\[
-5 \frac{687}{1000}
\]
1. The whole number part is –5.
2. The decimal part is 0.687.
Next, we convert the decimal 0.687 into a fraction. Since 0.687 is in the thousandths place, we can write it as:
\[
0.687 = \frac{687}{1000}
\]
Now, we need to simplify \(\frac{687}{1000}\). We check for the greatest common divisor (GCD) of 687 and 1000. The GCD is 1, so the fraction is already in its simplest form.
Now we can combine the whole number and the fraction:
\[
-5.687 = -5 \frac{687}{1000}
\]
Thus, –5.687 as a mixed number is:
\[
-5 \frac{687}{1000}
\]