Answer: 11/12
Step-by-step explanation: Notice that 7/12 and 1/3 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.
The common denominator of 12 and 3 will be the least common multiple of 12 and 3 which is 12.
The fraction 7/12 already has a 12 in the denominator so we leave it alone.
To get a 12 in the denominator of 1/3, we multiply both the numerator and the denominator by 4 and we get the equivalent fraction 4/12.
Now we are adding like fractions.
To add like fractions, we simply add across the numerators.
7/12 + 4/12 = 11/12
Therefore, 7/12 + 1/3 = 11/12.
Write an equation system based on the problem
For an instance, e stands for the price of a carton of eggs, and b stands for the price of a loaf of bread
"Kate bought 3 cartons of eggs and 5 loaves of bread for $30.07" could be written as 3e + 5b = 30.07 (first equation)
"Melissa bought 2 cartons of eggs and 2 loaves of bread for $14.74" could be written as 2e + 2b = 14.74 (second equation)
Solve the equation system using elimination method
Eliminate b to find e. To eliminate b, we should equalize the coefficient of b.
3e + 5b = 30.07 (multiplied by 2)
2e + 2b = 14.74 (multiplied by 5)
-------------------------------------------
6e + 10b = 60.14
10e + 10b = 73.70
------------------------- - (substract)
-4e = -13.56
e = -13.56/-4
e = 3.39
The price for a carton of eggs is $3.39
Answer:
first
Step-by-step explanation:
Answer:
Combine like terms.
Step-by-step explanation:
3x+2y=16
