Practice the questions given in the worksheet on lowest form of a rational number. We know, every rational number can be put in the lowest form if its numerator and denominator have common factor except 1.
1. Convert each of the following rational numbers in its lowest form:
(i) 12/30
(ii) 14/49
(iii) 24/64
(iv) 36/63
2. Determine whether the following rational numbers are in the lowest form or not:
(i) 76/48
(ii) 79/65
(iii) 32/102
(iv) 17/37
3. Express
each of the following rational numbers to the lowest form:
(i) 7/70
(ii) 36/180
(iii) 132/428
(iv) 32/56
4. Fill in
the blanks:
(i) 5/6 = …./30 = …./42
(ii) 4/9 = …./18 = 12/….
(iii) 6/13 = 12/…. = 24/….
(iv) 6/…. = 3/11 = .…/55
Answers for the worksheet on lowest form of a rational number are given below to check the exact answers of the above questions on converting a rational number to its simplest form.
Answers:
1. (i) 2/5
(ii) 2/7
(iii) 3/8
(iv) 4/7
2. (i) and
(iii) are not in the lowest form,
(ii) and (iv) are in the lowest form
3. (i) 7/10
(ii) 1/5
(iii) 33/107
(iv) 4/7
4. (i) 25 and 35
(ii) 8 and 27
(iii) 26 and 52
(iv) 22 and 15
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8th Grade Math Practice
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● Rational Numbers
Introduction of Rational Numbers
Is Every Rational Number a Natural Number?
Is Every Rational Number an Integer?
Is Every Rational Number a Fraction?
Equivalent form of Rational Numbers
Rational Number in Different Forms
Properties of Rational Numbers
Lowest form of a Rational Number
Standard form of a Rational Number
Equality of Rational Numbers using Standard Form
Equality of Rational Numbers with Common Denominator
Equality of Rational Numbers using Cross Multiplication
Comparison of Rational Numbers
Rational Numbers in Ascending Order
Rational Numbers in Descending Order
Representation of Rational Numbers on the Number Line
Rational Numbers on the Number Line
Addition of Rational Number with Same Denominator
Addition of Rational Number with Different Denominator
Properties of Addition of Rational Numbers
Subtraction of Rational Number with Same Denominator
Subtraction of Rational Number with Different Denominator
Subtraction of Rational Numbers
Properties of Subtraction of Rational Numbers
Rational Expressions Involving Addition and Subtraction
Simplify Rational Expressions Involving the Sum or Difference
Multiplication of Rational Numbers
Properties of Multiplication of Rational Numbers
Rational Expressions Involving Addition, Subtraction and Multiplication
Reciprocal of a Rational Number
Rational Expressions Involving Division
Properties of Division of Rational Numbers
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