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# Rational numbers

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### Rational numbers

1. 1. RATIONAL NUMBERS
2. 2. UNDERSTANDING RATIONAL NUMBERS
3. 3. ADDING RATIONAL NUMBERS WITH COMMONDENOMINATORS To add rational numbers that have a common denominator, we add the numerators, but we do not add the denominators.
4. 4. ADDING RATIONAL NUMBERS WITH DIFFERENTDENOMINATORS To add rational numbers with different denominators, first we equalize the denominators by enlarging each rational number by the lowest common denominator (LCD). Then we add the numerators.
5. 5. SUBTRACTING RATIONAL NUMBERS WITHCOMMON DENOMINATORS Subtraction is the inverse operation of addition. To subtract rational numbers that have a common denominator, we subtract the numerator, but we do not subtract the denominators.
6. 6. SUBTRACTING RATIONAL NUMBERS WITHDIFFERENT DENOMINATORS To subtract rational numbers with different denominators, first equalize the denominators and then subtract the numerators.
7. 7. MULTIPLYING RATIONAL NUMBERS Multiplying Two Rational Numbers To multiply two rational numbers, we multiply the numerators to get the new numerator and multiply the denominators to get the new denominator For example:
8. 8.  Multiplying a Rational Number by a Whole Number To find the product of a whole number and a rational number, first write the whole number as an improper fraction, and then multiply. This is the same as multiplying the numerator of the fraction by whole number .
9. 9.  Multiplying Mixed Numbers When we multiply two mixed numbers, first we express each mixed number as an improper fraction, then we find the product.
10. 10. DIVISION IN RATIONAL NUMBERS