The following expression:
[tex]-10\frac{4}{7}-(-3)[/tex]
Can be rewritten using some notation for mixed fractions. Remember that:
[tex]-10\frac{4}{7}=-10-\frac{4}{7}[/tex]
Then:
[tex]-10\frac{4}{7}-(-3)=-10-\frac{4}{7}-(-3)[/tex]
Use the commutative property of the sum to bring together the integer part of the expression:
[tex]-10-\frac{4}{7}-(-3)=-10-(-3)-\frac{4}{7}[/tex]
Notice that -(-3) = +3, then:
[tex]-10-(-3)-\frac{4}{7}=-10+3-\frac{4}{7}[/tex]
Add the integers:
[tex]-10+3-\frac{4}{7}=-7-\frac{4}{7}[/tex]
Rewrite the number as a mixed fraction:
[tex]-7-\frac{4}{7}=-7\frac{4}{7}[/tex]
Therefore:
[tex]-10\frac{4}{7}-(-3)=-7\frac{4}{7}[/tex]
