Solve the Fraction Expression: 2/7 + 1/2 - 7/14

Video Solution

Solution Steps

00:00 Solution

00:03 We want to find the least common denominator

00:06 Therefore we'll multiply by 2 and 7 respectively for the common denominator 14

00:09 Remember to multiply both numerator and denominator

00:23 Let's calculate the multiplications

00:34 We can see that the subtraction operation leaves us with 0

00:42 And this is the solution to the question

Step-by-Step Solution

To solve the expression $\frac{2}{7}+\frac{1}{2}-\frac{7}{14}$ , follow these steps:

Step 1: Find the least common multiple (LCM) of the denominators 7, 2, and 14. The LCM is 14.
Step 2: Convert each fraction to have the denominator of 14:
     $\frac{2}{7}$ becomes $\frac{2 \times 2}{7 \times 2} = \frac{4}{14}$
     $\frac{1}{2}$ becomes $\frac{1 \times 7}{2 \times 7} = \frac{7}{14}$
     $\frac{7}{14}$ remains $\frac{7}{14}$ since it's already over 14.
Step 3: Perform the operations in the expression $\frac{4}{14} + \frac{7}{14} - \frac{7}{14}$ :
First, add $\frac{4}{14} + \frac{7}{14} = \frac{11}{14}$ .
Then, subtract $\frac{11}{14} - \frac{7}{14} = \frac{4}{14}$ .
Step 4: The result is already simplified. Thus, the solution to the problem is $\frac{4}{14}$ .

Therefore, the solution to the problem is $\mathbf{\frac{4}{14}}$ , which corresponds to choice $\mathbf{3}$ .