A **Multiplying Fractions Calculator** is a **specialized tool** designed to **simplify** the process of multiplying two or more **fractions**.

Consider multiplying **2/3** by **3/4**:

**Input the fractions**: **2/3** × **3/4**

The calculator processes the multiplication

It provides the result:

1/2

## Multiplying Fractions Calculator

Fraction 1 | Fraction 2 | Result |
---|---|---|

1/2 | 3/4 | 3/8 |

2/5 | 3/7 | 6/35 |

3/8 | 2/3 | 1/4 |

5/6 | 4/9 | 10/27 |

7/10 | 1/2 | 7/20 |

1/3 | 2/5 | 2/15 |

4/7 | 3/8 | 12/56 = 3/14 (simplified) |

5/12 | 1/4 | 5/48 |

3/10 | 2/3 | 6/30 = 1/5 (simplified) |

9/11 | 5/6 | 45/66 = 15/22 (simplified) |

## Multiplying Fractions Formula

**To multiply fractions, multiply the numerators together and the denominators together.**

**(a/b) × (c/d) = (a × c) / (b × d)**

Where:

aandcare thenumeratorsof the fractionsbanddare thedenominatorsof the fractions

**1**: **1/2** × **3/4**

Multiply numerators: **1 × 3 = 3**

Multiply denominators: **2 × 4 = 8**

Result:

3/8

**2**: **2/5** × **5/6**

Multiply numerators: **2 × 5 = 10**

Multiply denominators: **5 × 6 = 30**

Result:

10/30, which simplifies to1/3

**3**: **3/4** × **2/3** × **1/2**

Multiply all numerators: **3 × 2 × 1 = 6**

Multiply all denominators: **4 × 3 × 2 = 24**

Result:

6/24, which simplifies to1/4

## How do you multiply fractions?

**Identify the fractions**: Clearly write out the fractions you want to multiply.**Multiply the numerators**: Multiply all the**top numbers**(numerators) together.**Multiply the denominators**: Multiply all the**bottom numbers**(denominators) together.**Write the result**: Place the product of the numerators over the product of the denominators.**Simplify if possible**: Reduce the resulting fraction to its**lowest terms**by finding the**greatest common factor (GCF)**of the numerator and denominator.

`Example: `**2/3 × 4/5**

We have identified our fractions:

2/3and4/5Multiply numerators:

2 × 4 = 8Multiply denominators:

3 × 5 = 15Write the result:

8/15

Simplify: In this case, **8/15** is already in its simplest form as **8** and **15** have no common factors other than **1**.

Result,

2/3 × 4/5 = 8/15

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