Equivalent Fractions Calculator

Calculate equivalent fractions for a proper, improper, or mixed fraction or whole number using the calculator below. The results include the first 100 equivalent fractions.

Equivalent Fractions:

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	42/63
44/66	46/69	48/72	50/75
52/78	54/81	56/84	58/87
60/90	62/93	64/96	66/99
68/102	70/105	72/108	74/111
76/114	78/117	80/120	82/123
84/126	86/129	88/132	90/135
92/138	94/141	96/144	98/147
100/150	102/153	104/156	106/159
108/162	110/165	112/168	114/171
116/174	118/177	120/180	122/183
124/186	126/189	128/192	130/195
132/198	134/201	136/204	138/207
140/210	142/213	144/216	146/219
148/222	150/225	152/228	154/231
156/234	158/237	160/240	162/243
164/246	166/249	168/252	170/255
172/258	174/261	176/264	178/267
180/270	182/273	184/276	186/279
188/282	190/285	192/288	194/291
196/294	198/297	200/300	202/303

How to Calculate Equivalent Fractions

Equivalent fractions are fractions equal in value to another but that have a different numerator and denominator. There are a few steps to find equivalent fractions.

Step One: Reduce

The first step to find equivalent fractions is to simplify the starting fraction to its reduced form.

Find the greatest common factor of the top and bottom numbers, then divide both by the greatest common factor to reduce.

Step Two: Calculate Equivalent Fractions

The second step is to calculate fractions that are equal in value to the original. Multiply the numerator and denominator of the reduced fraction by a multiplier to find an equivalent fraction.

For example, let’s find some equivalent fractions for 2/6.

Reduce the fraction first.

26 = 13

Find some multipliers – let’s start with 4 as the multiplier.

Multiply the top and bottom numbers of 1/3 by the multiplier 4.

1 × 43 × 4
412

Thus, 4/12 is an equivalent fraction of 1/3.

Another easy way to find equivalent fractions is to use an equal fractions chart.

How to Find if Two Fractions are Equivalent

There are three ways to find if two fractions are equivalent to each other.

The first method is to reduce each fraction to the simplest form. If the reduced fractions are equal, then the fractions are equivalent.

The second method is to convert each fraction to a decimal by dividing the top number of each by the bottom. If the decimal values are equal, then the fractions are equivalent.

The third method is to use a fraction comparing calculator to determine if the fractions are equivalent automatically.