Our **fraction to decimal calculator** is a tool that converts **fractions** into their **decimal equivalents** using **Decimal = Numerator ÷ Denominator** formula.

let’s consider the fraction **3/4**:

**Input**: 3/4**Output**: 0.75

The calculator performs the **division** of the **numerator** by the **denominator** to provide the decimal result.

## Fraction to Decimal Calculator

Fraction Converted to | Decimal | Explanation |
---|---|---|

1/4 | 0.25 | 1 ÷ 4 = 0.25 |

2/5 | 0.4 | 2 ÷ 5 = 0.4 |

3/8 | 0.375 | 3 ÷ 8 = 0.375 |

5/6 | 0.833… | 5 ÷ 6 = 0.833… (rounded to 3 decimal places) |

7/3 | 2.333… | 7 ÷ 3 = 2.333… (mixed number: 2 1/3) |

11/4 | 2.75 | 11 ÷ 4 = 2.75 (mixed number: 2 3/4) |

1/7 | 0.142… | 1 ÷ 7 = 0.142857… (recurring decimal) |

9/16 | 0.5625 | 9 ÷ 16 = 0.5625 |

1/10 | 0.1 | 1 ÷ 10 = 0.1 |

3/10 | 0.3 | 3 ÷ 10 = 0.3 |

7/10 | 0.7 | 7 ÷ 10 = 0.7 |

1/12 | 0.083… | 1 ÷ 12 = 0.083333… (repeating 3) |

5/12 | 0.416… | 5 ÷ 12 = 0.416666… (repeating 6) |

7/12 | 0.583… | 7 ÷ 12 = 0.583333… (repeating 3) |

11/12 | 0.916… | 11 ÷ 12 = 0.916666… (repeating 6) |

1/16 | 0.0625 | 1 ÷ 16 = 0.0625 |

3/16 | 0.1875 | 3 ÷ 16 = 0.1875 |

5/16 | 0.3125 | 5 ÷ 16 = 0.3125 |

7/16 | 0.4375 | 7 ÷ 16 = 0.4375 |

9/16 | 0.5625 | 9 ÷ 16 = 0.5625 |

11/16 | 0.6875 | 11 ÷ 16 = 0.6875 |

13/16 | 0.8125 | 13 ÷ 16 = 0.8125 |

15/16 | 0.9375 | 15 ÷ 16 = 0.9375 |

7/20 | 0.35 | 7 ÷ 20 = 0.35 |

9/20 | 0.45 | 9 ÷ 20 = 0.45 |

3/20 | 0.15 | 3 ÷ 20 = 0.15 |

1/16 | 0.0625 | 1 ÷ 16 = 0.0625 |

1/2 | 0.5 | 1 ÷ 2 = 0.5 |

5/12 | 0.416… | 5 ÷ 12 = 0.416666… (repeating 6) |

11000/1 | 11000 | 11000 ÷ 1 = 11000 |

These additional examples demonstrate:

Fractions with denominatorsthat are powers of 10 (1/10, 3/10, 7/10)Fractions with denominatorsthat result in recurring decimals (1/12, 5/12, 7/12, 11/12)Fractions with denominatorsthat are powers of 2 (1/16, 3/16, 5/16, …, 15/16)Fractions with denominatorsthat are not powers of 2 or 10 (7/20, 9/20, 3/20)Unit fraction(1/2)Improper fraction(11000/1)

## Fraction to Decimal Chart

Fraction Change to | Decimal |
---|---|

1/2 | 0.5 |

1/3 | 0.333… |

1/4 | 0.25 |

2/3 | 0.666… |

3/4 | 0.75 |

1/5 | 0.2 |

4/5 | 0.8 |

1/6 | 0.166… |

5/6 | 0.833… |

1/8 | 0.125 |

7/8 | 0.875 |

## Fraction to Decimal Conversion Formula

The formula for converting a fraction to a decimal is straightforward:

**Decimal = Numerator ÷ Denominator**

Let’s look at some examples:

5/8= 5 ÷ 8 =0.625

2/3= 2 ÷ 3 ≈0.666…(recurring decimal)

7/2= 7 ÷ 2 =3.5

## How do you convert Fraction to Decimal?

To convert a fraction a/b to a decimal, you can use the following formula: **Decimal = a / b** and steps.

**Identify**the**numerator**and**denominator**.**Divide**the numerator by the denominator.**Round**the result if necessary (for recurring decimals).

Let’s convert **5/6** to a decimal:

**Numerator**= 5,**Denominator**= 6- 5 ÷ 6 =
**0.833333…** - Rounded to three decimal places:
**0.833**

For **terminating decimals**, the division will end with a remainder of zero. For **recurring decimals**, you may need to round off or use a bar notation to indicate the repeating part.

## What is a decimal and a fraction?

A **fraction** represents a part of a whole. It consists of two parts:

**Numerator**: The number above the line, representing the number of parts.**Denominator**: The number below the line, representing the total number of equal parts in the whole.

A **decimal** is a way of writing fractions based on powers of ten. It uses a **decimal point** to separate the whole number part from the fractional part.

**Key Differences:**

**Fractions**use two numbers (numerator and denominator), while**decimals**use a single number with a decimal point.**Decimals**are easier for calculations, especially with calculators or computers.**Fractions**can represent exact values for certain numbers that decimals can only approximate (e.g.,**1/3**).

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