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# Rational numbers

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• 1. RATIONAL NUMBERS
• 2. UNDERSTANDING RATIONAL NUMBERS
• 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. 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. 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. SUBTRACTING RATIONAL NUMBERS WITHDIFFERENT DENOMINATORS To subtract rational numbers with different denominators, first equalize the denominators and then subtract the numerators.
• 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.  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.  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. DIVISION IN RATIONAL NUMBERS