Evaluate for each expression m = 2/5 and n = 1/2
1) 2m + n
2) 2m - n
Please explain so I can understand the rest of the questions.
2m + n
(2 * 2/5) + 1/2 = 4/5 + 1/2
4/5 + 1/2 = 8/10 + 5/10 = 13/10 = 1 3/10
I'll be glad to check your work for the second problem.
Replace the m's with 2/5 and the n's with 1/2
2 multiplied times 2/5 + 1/2
2/1 times 2/5 = 4/5
4/5 + 1/2 you need a common denominator of 10 to finish the problem
8/10 + 5/10 = 13/10 or 1 3/10
Do the same thing for #2, but you will be subtracting 5/10 from 8/10
1. 2(2/5) + 1/2 = 4/5 + 1/2 = .8 + .5 = 1.3 = 1 3/10
2. Using the information above, you should be able to do this one yourself.
To evaluate each expression, we will substitute the values of m and n into the expressions and perform the necessary calculations.
Given that m = 2/5 and n = 1/2, we can now evaluate the expressions:
1) 2m + n:
Substituting the values of m and n:
2(2/5) + 1/2
To calculate this, we first simplify 2(2/5) by multiplying the numerator (2) by the whole number (2) and dividing by the denominator (5):
(4/5) + 1/2
To add these fractions, we need a common denominator, which is the LCM (Least Common Multiple) of 5 and 2, which is 10.
Converting the fractions to have a denominator of 10:
(4/5) + (5/10)
Now that both fractions have the same denominator, we can add them:
(4/5) + (5/10) = (8/10) + (5/10) = 13/10
So, 2m + n is equal to 13/10.
2) 2m - n:
Substituting the values of m and n:
2(2/5) - 1/2
Again, we simplify 2(2/5) by multiplying the numerator (2) by the whole number (2) and dividing by the denominator (5):
(4/5) - 1/2
To subtract these fractions, we still need a common denominator, which is still 10.
Converting the fractions to have a denominator of 10:
(4/5) - (5/10)
Now we can subtract the fractions:
(4/5) - (5/10) = (8/10) - (5/10) = 3/10
So, 2m - n is equal to 3/10.
Now you can apply the same process to evaluate other expressions by substituting the given values and performing the required calculations.