We want to write the given mixed number as a decimal.
-5 712
We will first rewrite it as a fraction.
Let's also ignore the negative sign for just a moment.
We found that 5 712 is equal to 67 12 when it is written as a fraction. This means that we actually want to find the quotient 67÷ 12. We find the quotient by dividing the numerator of the fraction by its denominator. Let's do it!
We can see that the pattern starts to repeat itself after a few steps. This means that the decimal is a repeating decimal. We can write it using bar notation. Remember, the bar goes over the decimal part that repeats itself.
5.583333... = 5.583
We found that 6712 written as a decimal is 5.583. Since we previously found that 5 712 is equal to 6712, we can say that 5 712 written as a decimal is 5.583.
5 712= 6712=5.583
Therefore, - 5 712 is equal to - 5.583.
