VULGAR FRACTION THREE FIFTHS·U+2157

Character Information

Code Point
U+2157
HEX
2157
Unicode Plane
Basic Multilingual Plane
Category
Other Number

Character Representations

Click elements to copy
EncodingHexBinary
UTF8
E2 85 97
11100010 10000101 10010111
UTF16 (big Endian)
21 57
00100001 01010111
UTF16 (little Endian)
57 21
01010111 00100001
UTF32 (big Endian)
00 00 21 57
00000000 00000000 00100001 01010111
UTF32 (little Endian)
57 21 00 00
01010111 00100001 00000000 00000000
HTML Entity
⅗
URI Encoded
%E2%85%97

Description

The Unicode character U+2157 represents the Vulgar Fraction Three Fifths in digital text. This symbol is used to represent a fractional value of three-fifths in mathematical equations, primarily within the realm of typography and design. While it may not be as commonly used as other basic fractions, its inclusion in Unicode allows for more accurate representation of numerical values in various contexts. The Vulgar Fraction Three Fifths is particularly useful in historical texts, where this specific fraction might have been employed to illustrate a particular historical period or reference an older mathematical system. Its use today is relatively limited, but it remains an essential character within the realm of typography for those who require precise representation of these specific fractions.

How to type the symbol on Windows

Hold Alt and type 8535 on the numpad. Or use Character Map.

  1. Step 1: Determine the UTF-8 encoding bit layout

    The character has the Unicode code point U+2157. In UTF-8, it is encoded using 3 bytes because its codepoint is in the range of 0x0800 to 0xffff.

    Therefore we know that the UTF-8 encoding will be done over 16 bits within the final 24 bits and that it will have the format: 1110xxxx 10xxxxxx 10xxxxxx
    Where the x are the payload bits.

    UTF-8 Encoding bit layout by codepoint range
    Codepoint RangeBytesBit patternPayload length
    U+0000 - U+007F10xxxxxxx7 bits
    U+0080 - U+07FF2110xxxxx 10xxxxxx11 bits
    U+0800 - U+FFFF31110xxxx 10xxxxxx 10xxxxxx16 bits
    U+10000 - U+10FFFF411110xxx 10xxxxxx 10xxxxxx 10xxxxxx21 bits
  2. Step 2: Obtain the payload bits:

    Convert the hexadecimal code point U+2157 to binary: 00100001 01010111. Those are the payload bits.

  3. Step 3: Fill in the bits to match the bit pattern:

    Obtain the final bytes by arranging the paylod bits to match the bit layout:
    11100010 10000101 10010111