2/3 is equivalent to what fraction

Equivalent fractions can be defined as fractions that may have different numerators and denominators but they represent the same value.

Answer: 4/6, 6/9, 8/12, 10/15 ... are equivalent to 2/3. All those fractions obtained by multiplying both the numerator and denominator of 2/3 by the same number are equivalent to 2/3.

All equivalent fractions get reduced to the same fraction in their simplest form.

Explanation:

All those fractions obtained by multiplying both the numerator and denominator of 2/3 by the same integer are equivalent to 2/3.

2/3 × 2/2  = 4/6

2/3 × 3/3 = 6/9

2/3 × 4/4 = 8/12

2/3 × 5/5 = 10/15  and so on...

4/6, 6/9, 8/12, 10/15  ... are equivalent to 2/3.

Thus, 4/6, 6/9, 8/12, 10/15  ... are equivalent to 2/3. 

To find the equivalent fractions for any given fraction, we divide or multiply the numerator and the denominator by the same number.

Answer: The fractions equivalent to 2/3 are 4/6, 6/9, 8/12, etc.

Equivalent fractions have the same value in the reduced form.

Explanation:

Equivalent fractions can be written by multiplying or dividing both the numerator and the denominator by the same number. This is the reason why these fractions get reduced to the same number when they are simplified.

Let us understand the two ways in which we can make equivalent fractions:

1. Multiply the numerator and the denominator by the same number, or,
2. Divide the numerator and the denominator by the same number.

Hence, the equivalent fractions to 2/3 are:

(2/3) × (2/2) = (2 × 2) / (3 × 2) = 4/6

(2/3) × (3/3) = (2 × 3) / (3× 3) = 6/9

(2/3) × (4/4) = (2 × 4) / (3 × 4) = 8/12

Thus, 4/6, 6/9, 8/12 are equal to 2/3, when simplified, which means they are equivalent in nature.

List some equivalent fractions of 2/3

Check to see if we can simplify our fraction with a greatest common factor:

Using our GCF calculator, we see this fraction is fully reduced since there is no GCF(2, 3) = 1

Definition of an Equivalent Fraction:

An equivalent fraction for a/b is found by multiplying the numerator and denominator by a common integer (n).
Whatever you multiply the numerator (top) by, you must multiply the denominator (bottom) by the same number):

How to Find an Equivalent Fraction:

We'll start with 2 and keep increasing by 1 through 20 to find a bunch of equivalent fractions:

Multiply numerator and denominator by 2 to get an equivalent fraction:

Multiply numerator and denominator by 3 to get an equivalent fraction:

Multiply numerator and denominator by 4 to get an equivalent fraction:

Multiply numerator and denominator by 5 to get an equivalent fraction:

Multiply numerator and denominator by 6 to get an equivalent fraction:

Multiply numerator and denominator by 7 to get an equivalent fraction:

Multiply numerator and denominator by 8 to get an equivalent fraction:

Multiply numerator and denominator by 9 to get an equivalent fraction:

Multiply numerator and denominator by 10 to get an equivalent fraction:

Multiply numerator and denominator by 11 to get an equivalent fraction:

Multiply numerator and denominator by 12 to get an equivalent fraction:

Multiply numerator and denominator by 13 to get an equivalent fraction:

Multiply numerator and denominator by 14 to get an equivalent fraction:

Multiply numerator and denominator by 15 to get an equivalent fraction:

Multiply numerator and denominator by 16 to get an equivalent fraction:

Multiply numerator and denominator by 17 to get an equivalent fraction:

Multiply numerator and denominator by 18 to get an equivalent fraction:

Multiply numerator and denominator by 19 to get an equivalent fraction:

Multiply numerator and denominator by 20 to get an equivalent fraction:

Some equivalent fractions for 2/3 are:

{4/6, 6/9, 8/12, 10/15, 12/18, 14/21, 16/24, 18/27, 20/30, 22/33, 24/36, 26/39, 28/42, 30/45, 32/48, 34/51, 36/54, 38/57, 40/60}

What is the Answer?

{4/6, 6/9, 8/12, 10/15, 12/18, 14/21, 16/24, 18/27, 20/30, 22/33, 24/36, 26/39, 28/42, 30/45, 32/48, 34/51, 36/54, 38/57, 40/60}

How does the Equivalent Fractions Calculator work?

Given a fraction, this will determine equivalent fractions
This calculator has 1 input.

What 3 formulas are used for the Equivalent Fractions Calculator?

1. Start with fraction n/d
2. Let i = 2 through 10
3. Multiply n and d by i to get your new equivalent fraction

For more math formulas, check out our Formula Dossier

What 3 concepts are covered in the Equivalent Fractions Calculator?

equivalencethe state or property of being equivalent.equivalent fractionsTwo fractions with equal values, using a common factor to scale the numerator and denominatorfractionhow many parts of a certain size exist
a/b where a is the numerator and b is the denominator

What are some example calculations for the Equivalent Fractions Calculator?

1. Equivalent Fraction 1/2
2. Equivalent Fraction 1/3
3. Equivalent Fraction 1/4
4. Equivalent Fraction 1/5
5. Equivalent Fraction 1/6
6. Equivalent Fraction 1/7
7. Equivalent Fraction 1/8
8. Equivalent Fraction 1/9
9. Equivalent Fraction 1/10
10. Equivalent Fraction 1/11
11. Equivalent Fraction 1/12
12. Equivalent Fraction 1/13
13. Equivalent Fraction 1/14
14. Equivalent Fraction 1/15
15. Equivalent Fraction 1/16
16. Equivalent Fraction 2/3
17. Equivalent Fraction 2/4
18. Equivalent Fraction 2/5
19. Equivalent Fraction 2/6
20. Equivalent Fraction 2/7
21. Equivalent Fraction 2/8
22. Equivalent Fraction 2/9
23. Equivalent Fraction 2/10
24. Equivalent Fraction 2/11
25. Equivalent Fraction 2/12
26. Equivalent Fraction 2/13
27. Equivalent Fraction 2/14
28. Equivalent Fraction 2/15
29. Equivalent Fraction 2/16
30. Equivalent Fraction 3/4
31. Equivalent Fraction 3/5
32. Equivalent Fraction 3/6
33. Equivalent Fraction 3/7
34. Equivalent Fraction 3/8
35. Equivalent Fraction 3/9
36. Equivalent Fraction 3/10
37. Equivalent Fraction 3/11
38. Equivalent Fraction 3/12
39. Equivalent Fraction 3/13
40. Equivalent Fraction 3/14
41. Equivalent Fraction 3/15
42. Equivalent Fraction 3/16
43. Equivalent Fraction 4/5
44. Equivalent Fraction 4/6
45. Equivalent Fraction 4/7
46. Equivalent Fraction 4/8
47. Equivalent Fraction 4/9
48. Equivalent Fraction 4/10
49. Equivalent Fraction 4/11
50. Equivalent Fraction 4/12
51. Equivalent Fraction 4/13
52. Equivalent Fraction 4/14
53. Equivalent Fraction 4/15
54. Equivalent Fraction 4/16
55. Equivalent Fraction 5/6
56. Equivalent Fraction 5/7
57. Equivalent Fraction 5/8
58. Equivalent Fraction 5/9
59. Equivalent Fraction 5/10
60. Equivalent Fraction 5/11
61. Equivalent Fraction 5/12
62. Equivalent Fraction 5/13
63. Equivalent Fraction 5/14
64. Equivalent Fraction 5/15
65. Equivalent Fraction 5/16
66. Equivalent Fraction 6/7
67. Equivalent Fraction 6/8
68. Equivalent Fraction 6/9
69. Equivalent Fraction 6/10
70. Equivalent Fraction 6/11
71. Equivalent Fraction 6/12
72. Equivalent Fraction 6/13
73. Equivalent Fraction 6/14
74. Equivalent Fraction 6/15
75. Equivalent Fraction 6/16
76. Equivalent Fraction 7/8
77. Equivalent Fraction 7/9
78. Equivalent Fraction 7/10
79. Equivalent Fraction 7/11
80. Equivalent Fraction 7/12
81. Equivalent Fraction 7/13
82. Equivalent Fraction 7/14
83. Equivalent Fraction 7/15
84. Equivalent Fraction 7/16
85. Equivalent Fraction 8/9
86. Equivalent Fraction 8/10
87. Equivalent Fraction 8/11
88. Equivalent Fraction 8/12
89. Equivalent Fraction 8/13
90. Equivalent Fraction 8/14
91. Equivalent Fraction 8/15
92. Equivalent Fraction 8/16
93. Equivalent Fraction 9/10
94. Equivalent Fraction 9/11
95. Equivalent Fraction 9/12
96. Equivalent Fraction 9/13
97. Equivalent Fraction 9/14
98. Equivalent Fraction 9/15
99. Equivalent Fraction 9/16
100. Equivalent Fraction 10/11
101. Equivalent Fraction 10/12
102. Equivalent Fraction 10/13
103. Equivalent Fraction 10/14
104. Equivalent Fraction 10/15
105. Equivalent Fraction 10/16
106. Equivalent Fraction 11/12
107. Equivalent Fraction 11/13
108. Equivalent Fraction 11/14
109. Equivalent Fraction 11/15
110. Equivalent Fraction 11/16
111. Equivalent Fraction 12/13
112. Equivalent Fraction 12/14
113. Equivalent Fraction 12/15
114. Equivalent Fraction 12/16
115. Equivalent Fraction 13/14
116. Equivalent Fraction 13/15
117. Equivalent Fraction 13/16
118. Equivalent Fraction 14/15
119. Equivalent Fraction 14/16
120. Equivalent Fraction 15/16

Equivalent Fractions Calculator Video

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