Page 2
How to simplify rational expressions involving division of two rational numbers? We know in division of rational numbers, if a/b and c/d are two rational numbers such that c/d ≠ 0. We define, {a/b ÷ c/d} = {a/b × d/c} When a/b is divided by c/d , then a/b is called the dividend; c/d is called the divisor and the result is known as quotient. 1. Divide 5/7 by 9/49 Solution: We have, 5/7 ÷ 9/49 = 5/7 × 49/9 = (5 × 49)/(7 × 9) = 245/63 = 35/9 2. Divide -3/4 by 9/16 Solution: We have, -3/4 ÷ 9/16 = -3/4 × 16/9 = (-3 × 16)/(4 × 9) = -48/36 = -4/3 3. Divide -7/6 by -3/28 Solution: We have, -7/6 ÷ -3/28 = -7/6 × 28/-3 = (-7 × 28)/(6 × -3) = -196/-18 = 98/9 4. Divide -2/5 by 4/-9 Solution: We have, -2/5 ÷ 4/-9 = -2/5 × -9/4 = (-2 × -9)/(5 × 4) = 18/20 = 9/10 5. The product of two rational numbers is -12/35. If one of the numbers is 3/7, find the other. Solution: We have, product of two numbers = -12/35, one number = 3/7. So, the other number is obtained by dividing the product by the given number. Therefore, other number = -12/35 ÷ 3/7 = -12/35 × 7/3 = (-12 × 7)/(35 × 3) = -84/105 = -4/5. 6. By what number should we multiply 16/-21, so that the product may be 4/7. Solution: We have, Product of two numbers = 4/7, One number = 16/-21. Therefore, the other number = 4/7 ÷ 16/-21 = 4/7 × -21/16 = (4 × -21)/(7 × 16) = -84/112 = -3/4. ● Rational Numbers Introduction of Rational Numbers What is Rational Numbers? Is Every Rational Number a Natural Number? Is Zero a Rational Number? Is Every Rational Number an Integer? Is Every Rational Number a Fraction? Positive Rational Number Negative Rational Number Equivalent Rational Numbers Equivalent form of Rational Numbers Rational Number in Different Forms Properties of Rational Numbers Lowest form of a Rational Number Standard form of a Rational Number Equality of Rational Numbers using Standard Form Equality of Rational Numbers with Common Denominator Equality of Rational Numbers using Cross Multiplication Comparison of Rational Numbers Rational Numbers in Ascending Order Rational Numbers in Descending Order Representation of Rational Numbers on the Number Line Rational Numbers on the Number Line Addition of Rational Number with Same Denominator Addition of Rational Number with Different Denominator Addition of Rational Numbers Properties of Addition of Rational Numbers Subtraction of Rational Number with Same Denominator Subtraction of Rational Number with Different Denominator Subtraction of Rational Numbers Properties of Subtraction of Rational Numbers Rational Expressions Involving Addition and Subtraction Simplify Rational Expressions Involving the Sum or Difference Multiplication of Rational Numbers Product of Rational Numbers Properties of Multiplication of Rational Numbers Rational Expressions Involving Addition, Subtraction and Multiplication Reciprocal of a Rational Number Division of Rational Numbers Rational Expressions Involving Division Properties of Division of Rational Numbers Rational Numbers between Two Rational Numbers To Find Rational Numbers 8th Grade Math Practice From Rational Expressions Involving Division to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts Dedicated counsellor for each student Detailed Performance Evaluation view all coursesPage 2Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts Dedicated counsellor for each student Detailed Performance Evaluation view all courses |