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.

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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.

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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

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

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