To change the following mixed number to a whole number, we can proceed as follows:
[tex]9\frac{5}{7}=9+\frac{5}{7}[/tex]When we have mixed numbers, we have the sum of an integer and a fraction. Then we need to add both numbers following the rules for adding fractions:
[tex]\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d+b\cdot c}{b\cdot d}[/tex]Now, we can add both numbers above:
[tex]\frac{9}{1}+\frac{5}{7}=\frac{9\cdot7+1\cdot5}{1\cdot7}=\frac{63+5_{}}{7}=\frac{68}{7}[/tex]We have an improper fraction that is equivalent to the mixed number. In both cases, if we "transform" both numbers to decimals, we will get:
[tex]9+\frac{5}{7}=9+0.714285714286=9.71428571429[/tex]And
[tex]\frac{68}{7}=9.71428571429[/tex]If we see the number