How To Subtract Fractions From Whole Numbers 10 Steps

Example: 8−45{\displaystyle 8-{\frac {4}{5}}} =81−45{\displaystyle ={\frac {8}{1}}-{\frac {4}{5}}}

81−45{\displaystyle {\frac {8}{1}}-{\frac {4}{5}}} =8∗51∗5−45{\displaystyle ={\frac {85}{15}}-{\frac {4}{5}}} =405−45{\displaystyle ={\frac {40}{5}}-{\frac {4}{5}}}

405−45{\displaystyle {\frac {40}{5}}-{\frac {4}{5}}} =40−45{\displaystyle ={\frac {40-4}{5}}} = 365{\displaystyle {\frac {36}{5}}}

Example: Rewrite 365{\displaystyle {\frac {36}{5}}} as a mixed number. How many times does 5 fit evenly into 36? 5 x 7 = 35, so the whole number portion is 7. What’s left over? The whole number portion is equivalent to 355{\displaystyle {\frac {35}{5}}}, so solve 365{\displaystyle {\frac {36}{5}}} - 355{\displaystyle {\frac {35}{5}}} = 15{\displaystyle {\frac {1}{5}}} Combine the whole number and fraction: 365{\displaystyle {\frac {36}{5}}} = 715{\displaystyle 7{\frac {1}{5}}}

Example: 11−43{\displaystyle 11-{\frac {4}{3}}} =11−113{\displaystyle =11-1{\frac {1}{3}}} =10−13{\displaystyle =10-{\frac {1}{3}}}

10−13{\displaystyle 10-{\frac {1}{3}}} =9+1−13{\displaystyle =9+1-{\frac {1}{3}}}

=9+1−13{\displaystyle =9+1-{\frac {1}{3}}} =9+11−13{\displaystyle =9+{\frac {1}{1}}-{\frac {1}{3}}}

=9+1∗31∗3−13{\displaystyle =9+{\frac {13}{13}}-{\frac {1}{3}}} =9+33−13{\displaystyle =9+{\frac {3}{3}}-{\frac {1}{3}}}

=9+3−13{\displaystyle =9+{\frac {3-1}{3}}} =9+23{\displaystyle =9+{\frac {2}{3}}} =923{\displaystyle =9{\frac {2}{3}}}