To find out multiplication the rational number let united state recall howto multiply 2 fractions. The product the two provided fractions is a fractionwhose numerator is the product the the numerators of the offered fractions andwhose denominator is the product of the platform of the offered fractions.

In other words, product that two given fractions = product oftheir numerators/product of their denominators

**Similarly, we will follow the same rule for the product of reasonable numbers.You are watching: The product of two rational numbers is**

**Therefore, product of two rational numbers = product of your numerators/product of your denominators.**

**Thus, if a/b and c/d are any two rational numbers, then**

**a/b × c/d = a × c/b × d**

Solved examples on multiplication of reasonable numbers:

**1.** multiply 2/7 through 3/5

**Solution:**

2/7 × 3/5

= 2 × 3/7 × 5

= 6/35

**2.See more: Bond Length Is The Distance Between, Solved The Centers Of** multiply 5/9 through (-3/4)

**Solution:**

5/9 × (-3/4)

= 5 × -3/9 × 4

= -15/36

= -5/12

3. Main point (-7/6) through 5

Solution:

(-7/6) × 5

= (-7/6) × 5/1

= -7 × 5/6 × 1

= -35/6

**4. Uncover each of the adhering to products: **** (i) -3/7 × 14/5 (ii) 13/6 × -18/91 (iii) -11/9 × -51/44Solution: (i) -3/7 × 14/5 ****= (-3) × 14/(7 × 5) **

= -6/5

**(ii) 13/6 × -18/91 ****= 13 × (-18)/(6 × 91)**

= -3/7 (iii) -11/9 × 51/44 = (-11) × (-51)/(9 × 44)

**= 17/125. Verify that: ****(i) (-3/16 × 8/15) = (8/15 × (-3)/16) (ii) 5/6 × (-4)/5 + (-7)/10 = 5/6 × (-4)/5 + 5/6 × (-7)/10Solution: ****(i) LHS** = ((-3)/16 × 8/15) = (-3) × 8/(16 × 15) = -24/240 = -1/10 **RHS** = (8/15 × (-3)/16) = 8 × (-3)/(15 × 16) = -24/240 = -1/10 **Therefore, LHS = RHS. Hence, ((-3)/16 × 8/15) = (8/15 × (-3)/16) ****(ii) LHS** = 5/6 × -4/7 + (-7)/10 = 5/6 × <(-8) + (-7)/10** = 5/6 × (-15)/10= 5/6 × (-3)/2 = 5 × (-3)/(6 × 2) = -15/12 = -5/4RHS** = 5/6 × -4/5 + 5/6 ×(-7)/10**= {5 × (-4)/(6 × 5) + 5 × (-7)/(6 × 10) = -20/30 + (-35)/60 = (-2)/3 + (-7)/12= (-8) + (-7) / 12 = (-15)/12 = (-5)/4Therefore, LHS = RHS Hence, 5/6 × (-4/5 + (-7)/10) = 5/6 × (-4)/5 + (5/6 × (-7)/10) **

**● rational Numbers**

Introduction of rational Numbers

**What is reasonable Numbers?**

**Is Every reasonable Number a organic Number?**

**Is Zero a reasonable Number?**

**Is Every reasonable Number one Integer?**

**Is Every reasonable Number a Fraction?**

**Positive reasonable Number**

**Negative rational Number**

**Equivalent reasonable Numbers**

**Equivalent type of reasonable Numbers**

**Rational Number in various Forms**

**Properties of reasonable Numbers**

**Lowest kind of a rational Number**

**Standard type of a rational Number**

**Equality that Rational number using typical Form**

**Equality that Rational number with typical Denominator**

**Equality of rational Numbers utilizing Cross Multiplication**

**Comparison of reasonable Numbers**

**Rational numbers in Ascending Order**

**Rational numbers in descending Order**

**Representation of reasonable Numberson the Number Line**

**Rational number on the Number Line**

**Addition of reasonable Number with exact same Denominator**

**Addition of reasonable Number with various Denominator**

**Addition of rational Numbers**

**Properties of enhancement of reasonable Numbers**

**Subtraction of rational Number with exact same Denominator**

**Subtraction of reasonable Number with different Denominator**

**Subtraction of reasonable Numbers**

**Properties of subtraction of rational Numbers**

**Rational expressions Involving addition and Subtraction**

**Simplify rational Expressions involving the amount or Difference**

**Multiplication of reasonable Numbers**

**Product of rational Numbers**

**Properties the Multiplication of reasonable Numbers**

**Rational Expressions involving Addition, Subtraction and Multiplication**

**Reciprocal of a Rational Number**

**Division of reasonable Numbers**

**Rational Expressions including Division**

**Properties of department of reasonable Numbers**

**Rational Numbers between Two rational Numbers**

**To discover Rational Numbers**

**8th Grade math Practice****From Multiplication the Rational numbers to residence PAGE**