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.
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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
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