To discover multiplication that rational numbers let us recall howto multiply two fractions. The product of two given fractions is a fractionwhose numerator is the product the the numerators of the provided fractions andwhose denominator is the product the the platform of the provided fractions.

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

Similarly, we will follow the same dominion for the product of reasonable numbers.

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Therefore, product of 2 rational number = product of your numerators/product of your denominators.

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

a/b × c/d = a × c/b × d

Solved instances on multiplication of reasonable numbers:

1. main point 2/7 by 3/5

Solution:

2/7 × 3/5

= 2 × 3/7 × 5

= 6/35

2.

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main point 5/9 by (-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. Discover 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 reasonable Numbers

What is rational Numbers?

Is Every reasonable Number a organic Number?

Is Zero a rational Number?

Is Every rational Number one Integer?

Is Every reasonable Number a Fraction?

Positive reasonable Number

Negative rational Number

Equivalent rational Numbers

Equivalent form of rational Numbers

Rational Number in various Forms

Properties of reasonable Numbers

Lowest kind of a reasonable Number

Standard form of a reasonable Number

Equality that Rational number using typical Form

Equality of Rational number with typical Denominator

Equality of reasonable Numbers making use of Cross Multiplication

Comparison of rational Numbers

Rational numbers in Ascending Order

Rational numbers in to decrease Order

Representation of rational Numberson the Number Line

Rational number on the Number Line

Addition of rational Number with exact same Denominator

Addition of rational Number with different Denominator

Properties of enhancement of rational Numbers

Subtraction of reasonable Number with same Denominator

Subtraction of rational Number with different Denominator

Subtraction of reasonable Numbers

Properties of individually of reasonable Numbers

Rational expressions Involving addition and Subtraction

Simplify reasonable Expressions including the amount or Difference

Multiplication of reasonable Numbers

Product of reasonable Numbers

Properties of Multiplication of reasonable Numbers

Rational Expressions including Addition, Subtraction and also Multiplication

Reciprocal that a Rational  Number

Division of rational Numbers

Rational Expressions involving Division

Properties of division of reasonable Numbers

Rational Numbers between Two reasonable Numbers

To discover Rational Numbers

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