2. Find the GCF of 88,100 Method 1. List out all factors of each number, and find the first common one. Factors of 88: 1,2,4,8,11,22,44,88 Factors of 100: 1,2,4,5,10,20,25,50,100 Therefore the GCF is 4 Method 2. List all prime factors of each denominator and find the intersection of these primes. Prime factors of 88: 2,2,2,11 Prime factors of 100: 2,2,5,5 2*2=4 Therefore the GCF is 4
3. Divide both the numerator and the denominator by the GCF (88/4)/(100/4)
This problem is pretty simple. Since we cannot divide this we can change the division sign into a multiplication, but to do this we need to also take the reciprocal of 2/3, which means we flip th number so it becomes 3/2. Now we can simply multiply. (1/4)*(3/2) which should give you 3/8
1/5. If 4 pieces of gum are each divided into 5 parts, that will mean there will be 20 smaller parts (5*4=20). Each person will get one part of each piece of gum. If there are 4 pieces of gum originally, this means each person gets 4 small pieces of gum If each person gets 4 small pieces of gum and there are 20 small pieces altogether, that makes the fraction 4/20 Since 4 and 20 are both divisible by 4, that makes the simplified answer 1/5.