What is the value of the expression 3a+b/2 when a=1/4 And b=3/2 ?
Responses
−3/8
negative fraction 3 over 8
9/8
fraction 9 over 8
9/2
9/2
To find the value of the expression 3a+b/2 when a=1/4 and b=3/2, you simply substitute the given values into the expression.
First, let's substitute a=1/4 and b=3/2 into the expression:
3(1/4) + (3/2)/2
Next, simplify the expression:
3/4 + (3/2) * (1/2)
Multiply the fractions:
3/4 + 3/4
Combine like terms by adding the fractions:
(3+3)/4
Simplify the numerator:
6/4
Divide the numerator by the denominator:
6 divided by 4 equals 3/2
Therefore, the value of the expression 3a+b/2 when a=1/4 and b=3/2 is 3/2, which is equivalent to the fraction 3 over 2.
To find the value of the expression 3a+b/2 when a = 1/4 and b = 3/2, you can substitute the given values of a and b into the expression.
Substituting a = 1/4 and b = 3/2 into the expression, we get:
3(1/4) + (3/2)/2
Now let's simplify this step by step:
Step 1: Simplify 3(1/4) by multiplying the whole number 3 with the fraction 1/4.
3(1/4) = 3/4
Step 2: Simplify (3/2)/2 by dividing the fraction 3/2 by the whole number 2.
(3/2) / 2 = 3/4
Now, we have:
3/4 + 3/4 = 6/4
To simplify this fraction further, we can divide both the numerator and the denominator by their greatest common divisor, which is 2.
Dividing both 6 and 4 by 2, we get:
6/4 = 3/2
Therefore, the value of the expression 3a+b/2 when a = 1/4 and b = 3/2 is 3/2.