MathSpeak™ Grammar Rules
MathSpeak Logo

MathSpeak™ Core Specification

Grammar Rules

MathSpeak™ Website
More MathSpeak™ Examples
skip navigation bar

MathSpeak™ Settings:


Chapter:



Chapter 7 - Fractions

Verbose Brief Super-Brief
Fraction Indicators
Simple
Opening Start Fraction Start Frac Frac
Middle Over Over Over
Closing End Fraction End Frac End Frac
Nested Once
Opening Start Start Fraction Start Start Frac Nest Frac
Middle Over Over Over Over Nest Over
Closing End End Fraction End End Frac Nest End Frac
Nested Twice
Opening Start Start Start Fraction Start Start Start Frac Nest Twice Frac
Middle Over Over Over Over Over Over Nest Twice Over
Closing End End End Fraction End End End Frac Nest Twice End Frac
Continued Fraction Indicators
Outermost Fraction
Opening Continued Fraction Continued Frac Continued Frac
Middle Over Over Over
Closing [ends with ellipsis] [ends with ellipsis] [ends with ellipsis]
Inner Fractions
Opening Start Fraction Start Frac Frac
Middle Over Over Over
Closing [ends with the ellipsis] [ends with the ellipsis] [ends with the ellipsis]
Rule 7.1 - ID: fractions_SIM1
Example 1fractions_SIM1-01
Example as described below.
verbose
StartFraction 1 Over x EndFraction
Listen to MathSpeak
brief
StartFrac 1 Over x EndFrac
Listen to MathSpeak
superbrief
Frac 1 Over x EndFrac
Listen to MathSpeak
Comment on example 1
Example 2fractions_SIM1-02
Example as described below.
verbose
a minus StartFraction b plus c Over d minus e EndFraction times f
Listen to MathSpeak
brief
a minus StartFrac b plus c Over d minus e EndFrac times f
Listen to MathSpeak
superbrief
a minus Frac b plus c Over d minus e EndFrac times f
Listen to MathSpeak
Comment on example 2
Comment on rule 7.1
Rule 7.3 - ID: fractions_NESX1
Applies To
Nested Fractions
Description
For fractions that contain nested fractions, fraction indicators are used that convey the largest depth of nested fractions contained.
Example 2fractions_NESX1-02
Example as described below.
verbose
a 0 plus StartStartStartStartFraction 1 OverOverOverOver a 1 plus StartStartStartFraction 1 OverOverOver a 2 plus StartStartFraction 1 OverOver ellipsis plus StartFraction 1 Over a Subscript n Baseline EndFraction EndEndFraction EndEndEndFraction EndEndEndEndFraction
Listen to MathSpeak
brief
a 0 plus StartStartStartStartFrac 1 OverOverOverOver a 1 plus StartStartStartFrac 1 OverOverOver a 2 plus StartStartFrac 1 OverOver ellipsis plus StartFrac 1 Over a Sub n Base EndFrac EndEndFrac EndEndEndFrac EndEndEndEndFrac
Listen to MathSpeak
superbrief
a 0 plus Nest3Frac 1 Nest3Over a 1 plus NestTwiceFrac 1 NestTwiceOver a 2 plus NestFrac 1 NestOver ellipsis plus Frac 1 Over a Sub n Base EndFrac NestEndFrac NestTwiceEndFrac Nest3EndFrac
Listen to MathSpeak
Comment on example 2
Comment on rule 7.3
Rule 7.4 - ID: fractions_NUM1
Example 1fractions_NUM1-02
Example as described below.
verbose
one-half plus two-halves plus three-halves plus four-halves plus ellipsis equals sigma-summation Underscript n equals 1 Overscript infinity EndScripts StartFraction n Over 2 EndFraction
Listen to MathSpeak
brief
one-half plus two-halves plus three-halves plus four-halves plus ellipsis equals sigma-summation Underscript n equals 1 Overscript infinity EndScripts StartFrac n Over 2 EndFrac
Listen to MathSpeak
superbrief
one-half plus two-halves plus three-halves plus four-halves plus ellipsis equals sigma-summation Underscript n equals 1 Overscript infinity EndScripts Frac n Over 2 EndFrac
Listen to MathSpeak
Comment on example 1
Example 2fractions_NUM1-03
Example as described below.
verbose
StartFraction 20 Over 5 EndFraction times StartFraction 1 Over 100 EndFraction equals one-twenty-fifth
Listen to MathSpeak
brief
StartFrac 20 Over 5 EndFrac times StartFrac 1 Over 100 EndFrac equals one-twenty-fifth
Listen to MathSpeak
superbrief
Frac 20 Over 5 EndFrac times Frac 1 Over 100 EndFrac equals one-twenty-fifth
Listen to MathSpeak
Comment on example 2
Example 3fractions_NUM1-01
Example as described below.
verbose
StartFraction three-fifths Over 8 EndFraction equals three-fifths times one-eighth
Listen to MathSpeak
brief
StartFrac three-fifths Over 8 EndFrac equals three-fifths times one-eighth
Listen to MathSpeak
superbrief
Frac three-fifths Over 8 EndFrac equals three-fifths times one-eighth
Listen to MathSpeak
Note: This example is particularly difficult to transcribe directly to Nemeth Code. The next specification will include a setting that is beneficial for transcription.
Comment on example 3
Comment on rule 7.4
Comment on Chapter 7