a) Answer:
=13 1/3
Solution by separating parts
Eliminating a negative and changing our operation.
=9+413
Rewriting our equation with parts separated
=9+4+13
Solving the whole number parts
9+4=13
Combining the whole and fraction parts
13+13=1313
Solution by Formulas
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
91−−133
Applying the fractions formula for subtraction,
=(9×3)−(−13×1)1×3
=27−−133
=403
Simplifying 40/3, the answer is
=13 1/3
b) Answer:
=−13 1/3
Solution by separating parts
Eliminating a negative and changing our operation.
=−413−9
Rewriting our equation with parts separated
=−4−13−9
Solving the whole number parts
−4−9=−13
Combining the whole and fraction parts
−13−13=−1313
Solution by Formulas
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
−133+−91
Applying the fractions formula for addition,
=(−13×1)+(−9×3)3×1
=−13+−273
=−403
Simplifying -40/3, the answer is
=−13 1/3
c) Answer:
=4 2/3
Solution by separating parts
Eliminating a negative and changing our operation.
=−413+9
Rewriting our equation with parts separated
=−4−13+9
Solving the whole number parts
−4+9=5
Combining the whole and fraction parts
5−13=423
Solution by Formulas
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
−133−−91
Applying the fractions formula for subtraction,
=(−13×1)−(−9×3)3×1
=−13−−273
=143
Simplifying 14/3, the answer is
=4 2/3
d) Answer:
=−4 2/3
Solution by separating parts
Rewriting our equation with parts separated
=−9+4+13
Solving the whole number parts
−9+4=−5
Combining the whole and fraction parts
−5+13=−423
Solution by Formulas
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
−91+133
Applying the fractions formula for addition,
=(−9×3)+(13×1)1×3
=−27+133
=−143
Simplifying -14/3, the answer is
=−4 2/3
