Rational Number - Maths Online Tutoring

Rational Number - Maths Online Tutoring A rational number is a number which can be expressed as a fraction. A rational number can be expressed as P/q form. Where p and q are integers. The condition for the rational number is the denominator cannot be equal to zero i.e.q 0. The rational numbers question can be solved or simplified using different mathematical properties such as multiplicative property, associative property, additive inverse multiplicative inverse and many more. Example 1: Solve the given rational numbers 2/3 (1/3 + 5/6). Solution: Given in the question is 2/3 (1/3 + 5/6). First add the two rational numbers 1/3 and 5/6. Here we need the LCM of 3 and 6 which is 6. Therefore the common denominator is 6. Hence the sum of the fractions is 2/3 + 5/6 = 7/6. Now the sum of the two rational numbers is multiplied to the rational number 2/3. This gives (2/3) * (7/6) = 14/18. Simplifying the rational number gives 7/9 Hence solution is 7/9. Example 2: Solve the given rational numbers 5/4 (2/5 + 1/10). Solution: Given in the question is 5/4 (2/5 + 1/10). First add the two rational numbers 2/5 and 1/10. Here we need the LCM of 5 and 10 which is 10. Therefore the common denominator is 10. Hence the sum of the fractions is 4/10 + 1/10 = 5/10. Now the sum of the two rational numbers is multiplied to the rational number 5/4. This gives (5/4) * (5/10) = 25/40. Simplifying the rational number gives 5/8 Hence solution is 5/8.