We created this **equivalent fractions calculator** that helps identify **fractions** with **equal value** but **different numerators** and **denominators** using formula **a/b = (a × n) / (b × n)**.

These fractions represent the

same portionof a whole, despite having different numbers. For example,1/2and2/4areequivalent fractions.

## Equivalent Fractions Calculator

Original Fraction | Multiplier | Equivalent Fraction |
---|---|---|

1/2 | 3 | 3/6 |

1/2 | 4 | 4/8 |

1/2 | 5 | 5/10 |

2/5 | 4 | 8/20 |

2/5 | 3 | 6/15 |

2/5 | 6 | 12/30 |

3/7 | 2 | 6/14 |

3/7 | 3 | 9/21 |

3/7 | 4 | 12/28 |

4/9 | 5 | 20/45 |

4/9 | 3 | 12/27 |

4/9 | 6 | 24/54 |

5/6 | 3 | 15/18 |

5/6 | 4 | 20/24 |

5/6 | 5 | 25/30 |

3/4 | 2 | 6/8 |

3/4 | 3 | 9/12 |

3/4 | 5 | 15/20 |

1/3 | 2 | 2/6 |

1/3 | 4 | 4/12 |

1/3 | 5 | 5/15 |

2/3 | 2 | 4/6 |

2/3 | 3 | 6/9 |

2/3 | 5 | 10/15 |

## Equivalent Fractions Formula?

The **formula** for finding **equivalent fractions** is:

**a/b = (a × n) / (b × n)**

Where:

a/bis theoriginal fractionnis anynon-zero number

By multiplying both the **numerator** and **denominator** by the same **non-zero number**, you create an **equivalent fraction**.

To find an

equivalent fractionfor3/4:3/4 = (3 × 2) / (4 × 2) = 6/8To find an

equivalent fractionfor2/5:2/5 = (2 × 3) / (5 × 3) = 6/15

## How to find equivalent fractions?

To find **equivalent fractions**, use formula **a/b = (a × n) / (b × n)** and:

**Choose a non-zero number**to multiply both the**numerator**and**denominator**by.**Multiply the numerator**by this number.**Multiply the denominator**by the same number.**Write the new fraction**using the results from steps 2 and 3.

You can also find **equivalent fractions** by dividing both the **numerator** and **denominator** by their **greatest common factor (GCF)**.

To find an **equivalent fraction** for **8/12**:

- Identify the
**GCF**of**8**and**12**, which is**4**. - Divide both
**8**and**12**by**4**:**8 ÷ 4 = 2****12 ÷ 4 = 3**

- The
**equivalent fraction**is**2/3**.

## What fraction is equivalent to 1/3?

To find **fractions equivalent** to **1/3**, multiply both the **numerator** and **denominator** by the same **non-zero number**:

1/3 = (1 × 2) / (3 × 2) = 2/61/3 = (1 × 3) / (3 × 3) = 3/91/3 = (1 × 4) / (3 × 4) = 4/121/3 = (1 × 5) / (3 × 5) = 5/15

All these fractions (**2/6**, **3/9**, **4/12**, **5/15**) are **equivalent** to **1/3**. They all represent the **same portion** of a whole, just expressed with **different numbers**.

## What is equivalent to 2/3?

To find **fractions equivalent** to **2/3**, apply the same principle of multiplying both **numerator** and **denominator** by the same **non-zero number**:

**2/3 = (2 × 2) / (3 × 2) = 4/6****2/3 = (2 × 3) / (3 × 3) = 6/9****2/3 = (2 × 4) / (3 × 4) = 8/12****2/3 = (2 × 5) / (3 × 5) = 10/15**

All these fractions (**4/6**, **6/9**, **8/12**, **10/15**) are **equivalent** to **2/3**. They all represent **two-thirds** of a whole, just expressed with **different numbers**.

## What is the equivalent fraction of **3/4**?

To find **fractions equivalent** to **3/4**, multiply both the **numerator** and **denominator** by the same **non-zero number**:

**3/4 = (3 × 2) / (4 × 2) = 6/8****3/4 = (3 × 3) / (4 × 3) = 9/12****3/4 = (3 × 4) / (4 × 4) = 12/16****3/4 = (3 × 5) / (4 × 5) = 15/20**

All these fractions (**6/8**, **9/12**, **12/16**, **15/20**) are **equivalent** to **3/4**. They all represent **three-quarters** of a whole, just expressed with **different numbers**.

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