To learn multiplication of rational number let us recall howto multiply two fractions. The product that two provided fractions is a fractionwhose numerator is the product that the numerators of the offered fractions andwhose denominator is the product of the denominators of the given fractions.

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

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

**Therefore, product of 2 rational numbers = product of your numerators/product of their denominators.**

**Thus, if a/b and also c/d are any kind of two reasonable numbers, then**

**a/b × c/d = a × c/b × d**

Solved examples on multiplication of rational numbers:

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

**Solution:**

2/7 × 3/5

= 2 × 3/7 × 5

= 6/35

**2.See more: How To Play Monster Rancher On Emulator ? How Do You Play Monster Rancher 2 On Emulator** multiply 5/9 by (-3/4)

**Solution:**

5/9 × (-3/4)

= 5 × -3/9 × 4

= -15/36

= -5/12

3. Multiply (-7/6) through 5

Solution:

(-7/6) × 5

= (-7/6) × 5/1

= -7 × 5/6 × 1

= -35/6

**4. Find each that 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 herbal Number?**

**Is Zero a rational Number?**

**Is Every reasonable Number one Integer?**

**Is Every rational Number a Fraction?**

**Positive rational Number**

**Negative rational Number**

**Equivalent rational Numbers**

**Equivalent kind of rational Numbers**

**Rational Number in various Forms**

**Properties of rational Numbers**

**Lowest kind of a rational Number**

**Standard form of a reasonable Number**

**Equality that Rational numbers using conventional Form**

**Equality that Rational numbers with common Denominator**

**Equality of rational Numbers making use of Cross Multiplication**

**Comparison of reasonable Numbers**

**Rational numbers in Ascending Order**

**Rational number in descending Order**

**Representation of rational Numberson the Number Line**

**Rational number on the Number Line**

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

**Addition of rational Number with various Denominator**

**Addition of reasonable Numbers**

**Properties of enhancement of rational Numbers**

**Subtraction of reasonable Number with very same Denominator**

**Subtraction of rational Number with various Denominator**

**Subtraction of reasonable Numbers**

**Properties of subtraction of rational Numbers**

**Rational expression Involving addition and Subtraction**

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

**Multiplication of reasonable Numbers**

**Product of reasonable Numbers**

**Properties that Multiplication of rational Numbers**

**Rational Expressions including Addition, Subtraction and also Multiplication**

**Reciprocal of a Rational Number**

**Division of reasonable Numbers**

**Rational Expressions including Division**

**Properties of department of rational Numbers**

**Rational Numbers in between Two rational Numbers**

**To find Rational Numbers**

**8th Grade mathematics Practice****From Multiplication of Rational numbers to residence PAGE**