the notebook
[tex]1 \frac{5}{6} - \frac{7}{8} = \frac{11}{6} - \frac{7}{8} = \frac{11}{6} - \frac{7}{8} = \frac{44}{24} - \frac{21}{24} = \frac{23}{24} [/tex]
explanation
..........................................................................
We import fractions to a common denominator
[tex]1 \frac{5}{6} - \frac{7}{8} = [/tex]
5/6 < 7/8
you have to convert a mixed number to improper fraction
[tex]1 \frac{5}{6} - \frac{7}{8} = ( \frac{6}{6} * \frac{5}{6} ) - \frac{7}{8} = \frac{11}{6} - \frac{7}{8} [/tex]
Do not subtract fractions with different denominators ( the denominator is the number below the line )
We import fractions to a common denominator
We are looking for common multiple of the numbers 6 and 8 ( denominators ). Factorization
6 : 2 = 3 8 : 2 = 4
3 : 3 = 1 4 : 2 = 2
2 : 2 = 1
table
---------------------------------------------------------
factors ! 2 ! 2 ! 2 ! 3 ! the multiplication
---------------------------------------------------------
number 6 ! 2 ! ! ! 3 !
---------------------------------------------------------
number 8 ! 2 ! 2 ! 2 ! !
---------------------------------------------------------
common denominator : 2 * 2 * 2 * 3 = 24
[tex] \frac{11}{6} - \frac{7}{8} = \frac{11*4}{6*4} - \frac{7*3}{8*3} = \frac{44}{24} - \frac{21}{24} = \frac{23}{24} [/tex]
