# English Fractional Numerals

**Fractional numerals:**

** ****A table of fractional numerals with their common and decimal equivalents:**

Fraction |
Common Fraction |
Decimal Fraction |

1/2 |
½ |
0.5 |

1/3 |
⅓ |
0.3333… |

2/3 |
⅔ |
0.6666… |

1/4 |
¼ |
0.25 |

3/4 |
¾ |
0.75 |

1/5 |
⅕ |
0.2 |

2/5 |
⅖ |
0.4 |

3/5 |
⅗ |
0.6 |

4/5 |
⅘ |
0.8 |

1/6 |
⅙ |
0.1666… |

5/6 |
⅚ |
0.8333… |

1/8 |
⅛ |
0.125 |

3/8 |
⅜ |

**How to read the fractional numerals in written form:**

Fraction |
Written Form |

½ |
one-half |

1/3 |
one-third |

2/3 |
two-thirds |

¼ |
one-fourth |

¾ |
three-fourths |

1/5 |
one-fifth |

2/5 |
two-fifths |

3/5 |
three-fifths |

4/5 |
four-fifths |

1/6 |
one-sixth |

5/6 |
five-sixths |

1/8 |
one-eighth |

3/8 |
three-eighths |

For** fractions** with denominators greater than 10, the convention is to simply state the numerator followed by the denominator.

For **example**, **11/12** would be read as **eleven twelfths.**

**Some grammar rules for decimal fractions:**

A **decimal fraction** is a number written in base 10 using **the decimal point** to separate the **whole number part from the fractional part.**

For **example**, **3.75 is a decimal fraction **where **3** is the **whole number** part and **.75** is the **fractional part**.

**How to read a decimal fraction:**

**To read a decimal fraction,** say the **whole number part** followed by the word **point**, and then the **digits of the fractional part.**

For **example, 3.75** is read as **three point seven, and five**.

If there are leading** zeros** in the **fractional part**, they can be omitted when reading the **decimal fraction**.

For **example,** **0.75 **can be read simply as **point seven five.**

If the **decimal fraction** has a repeating pattern of **digits**, a bar is placed over **the repeating digits**.

For **example,** **0.333…** (which has a **repeating pattern of 3’s**) is written as **0.3** with a bar over **the 3**, and is read as **zero point three repeating** or **zero point three recurring**.

**Decimal fractions** can be converted to **common fractions** by placing **the digits of the fractional part** over a power of 10 that has the same **number of digits as the fractional part.**

For **example,** 0.75 can be written as **75/100**, which can be simplified to **3/4.**

For **example**, **3.75** is a decimal fraction where **3** is the **whole number part** and **.75** is the **fractional part**.

**Some grammar rules for percentages:**

**A percentage** is a number expressed as **a fraction of 100, **and is denoted by **the symbol %.**

For **example,** **50%** means **50 out of 100**.

To read **a percentage,** say **the number, **followed by the word** percent**.

For **example,** **50%** is read as **fifty percent**.

To convert **a percentage** to **a decimal**, divide the **percentage by 100**.

For **example,** to convert **50%** to **a decimal,** divide **50 by 100: 50/100 = 0.5.**

To convert **a decimal** to **a percentage**, multiply **the decimal by 100 **and add the** % **symbol.

For **example,** to convert **0.5** to a percentage, multiply by **100: 0.5 x 100 = 50%,** so the answer is **fifty percent**.

To find the **percentage** increase or decrease between **two values, **divide the difference between the two values by the original value, multiply **by 100**, and add the appropriate **sign** (plus for an increase, minus for a decrease).

For **example,** if the original value was **100 **and the new value is **120**, the percentage increase would be ((**120-100)/100) x 100 = 20%**, so the answer would be **a twenty percent increase.**

**How to represent a percentage as a common fraction or decimal:**

**50%** can be represented as the common fraction **1/2** or the **decimal 0.5.**

**25%** can be represented as the common fraction **1/4** or the **decimal 0.25**.

**75%** can be represented as the common fraction **3/4** or the **decimal 0.75**.

**33.33%** can be represented as the common fraction **1/3** or the **decimal 0.3333** (rounded to four decimal places).

**12.5%** can be represented as the common fraction **1/8** or the **decimal 0.125.**