Question

Evaluate \dfrac14c+3d

Answer 1

Answer:45/2

Step-by-step explanation:.

Answer 2

Answer:  $\frac{45}{2}$

Step-by-step explanation:

The exercise is: " Evaluate $\frac{1}{4}c + 3d$ when $c = 6$ and   $d = 7$

Given the following expression:

 $\frac{1}{4}c + 3d$

You can follow these steps in order to evaluate it:

 1. Substitute $c = 6$ and   $d = 7$ into the expression provided in the exercise:

  $\frac{1}{4}(6) + 3(7)$

2. Solve the multiplications. Remember that:

 $\frac{a}{b}*\frac{c}{d}=\frac{ac}{bd}$

Then:

 $=\frac{6}{4} +21$

3. Reduce the fraction. Notice that the numerator 6 and the denomiantor 4 can be both divided by 2. Then:

$=\frac{3}{2} +21$

4. Solve the addition:

$=\frac{3}{2} +\frac{21}{1}$

 Since the number 21 has a denominator 1, the Least Common Denominator is:

$LCD=2$

Then, the sum is:

$=\frac{3+42}{2}=\frac{45}{2}$