To divide rational numbers, remember the rules of dividing positive and negative numbers:
- If the dividend and divisor have the same
sign,
the quotient is positive.
- If the dividend and divisor have different
signs,
the quotient is negative.
You can by following these steps: - Move the decimal point to the right to make the divisor a whole number. Move the decimal point the same number of places to the right in the dividend.
- Place the decimal point in the quotient directly above the decimal point in the dividend.
- Divide until there is no remainder, or until the quotient begins to repeat in a pattern. Annex zeros, if necessary.
First, notice that the dividend and divisor have the same sign. So, the quotient will be positive. Ignore the signs of the dividend and divisor for now to make it easier to divide.
Now, to make 0.6 a whole number, move the decimal point one place to the right. Remember to move the decimal point the same number of places in both the divisor and the dividend.
Then, rewrite the problem. Place the decimal point in the quotient. Divide until there is no remainder. You will need to annex a zero.
Remember that since the dividend and divisor have the same sign, the quotient is positive. So, You can by following these steps: - Rewrite any mixed numbers as improper fractions.
- Multiply the dividend by the reciprocal of the divisor.
- Simplify, if needed.
Let's try another example. Divide First, notice that the dividend and divisor have different signs. So, the quotient will be negative. Ignore the signs of the dividend and divisor for now to make it easier to divide.
Now, rewrite the mixed numbers as improper fractions.
Then, multiply the dividend by the reciprocal of the divisor.
Your answer is an improper fraction. Write it as a mixed number.
Remember that since the dividend and divisor have different signs, the quotient is negative. So,