One way is to find the prime factorization for the denominators which are 3 and 4. The prime factorization of 3 would be 1 x 3 and 4 would be 2 x 2. Since we only use prime numbers to find the prime factorization we would have 2 x 2 x 3 = 12 which give us the the least common denominator for 2/3 and 3/4. Final answer is 12.
Step-by-step explanation:
Simple, you need to think how many
1/5 can add up to give one here.(1)
(1/5)+(1/5)+1/5+1/5=5/5=1
Answer:
10/31
Step-by-step explanation:
The fraction of the class that is sophomores
There are 10 sophomores and a total of 31 students
sophomores 10
-------------------- = ------------
total 31
Answer:
5 dimes and 8 quarters
Step-by-step explanation:
<span>let number of hours of Isaac,Ruby and Svetlana worked be x,y and z respectively.
so y= x+6 ( equation 1)
note: Ruby (y) worked 6 hours more than Isaac (x)
z = 4 x y ( equation 2)
note : Svetlana (z) worked 4 times as many hours as Ruby (y)
x+y+z= 126 ( equation 3)
note: Together they (x,y,z) worked 126 hours.
substitute eqn 1 to eqn 3
so x+y+z= 126 becomes
y-6 + y+z-126
2y+z= 126+6
2y+z=132 (equation 4)
the substitute eqn 2 in eqn 4
so 2y+z=132 becomes
2y+4y=132
6y=132
y=132/6= 22
so y=22
substitute y value in equation 1
so y= x+6 becomes
x+6=22 and
x= 22-6 = 16
and substitute x and y values in equation 3
so 16+22+z= 126
38+z= 126
z= 126 -38 = 88
So the number of hours Isaac worked (x) is 16 hours
number of hours Ruby worked (y) is 22 hours
number of hours Svetlana worked (z) is 88 hours</span>
