We have hundreds of course questions with personalized recommendations + Account 100% premium
Let's begin by writing the exercise as a fraction:
Next we'll factor the numerator of the fraction into a smaller multiplication exercise:
Let's now reduce the 4 in both the numerator and denominator of the fraction:
\( 100-(5+55)= \)
Factoring reveals hidden common factors between numerator and denominator! Writing 12 as 4 × 3 shows the 4 that cancels with 4 in the denominator.
No! You can only cancel identical factors. Different variables like a and b are completely separate, and different numbers like 3 and 7 don't cancel.
You're done when no common factors remain between numerator and denominator. Check each number and variable - if nothing appears in both top and bottom, you're finished!
Treat the entire multiplication as one denominator: . Then factor and cancel as usual. The key is identifying what multiplies together.
It's often better to keep factors separate like 7x⋅4b so you can easily spot common factors with the numerator. Only multiply out after canceling.
Get unlimited access to all 18 Commutative, Distributive and Associative Properties questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime