Solve the Fraction Addition: 2/11 + 1/2 Step by Step

Question

211+12= \frac{2}{11}+\frac{1}{2}=

Video Solution

Solution Steps

00:04 Let's tackle this math problem. Ready?
00:07 First, we need to find the least common denominator.
00:11 So, multiply each fraction by the other fraction's denominator.
00:15 Remember, multiply both the numerator and the denominator to keep the fractions balanced.
00:30 Next, let's calculate these multiplications, step by step.
00:38 Now, add the results using the common denominator.
00:42 And calculate the numerator to find our answer.
00:45 Great work! And that's how we solve this question.

Step-by-Step Solution

To solve this problem, we first find a common denominator for 211\frac{2}{11} and 12\frac{1}{2}. The denominators are 11 and 2, and their product gives a common denominator of 2222.

Next, we adjust each fraction:

  • 211\frac{2}{11} is adjusted to 2×222=422\frac{2 \times 2}{22} = \frac{4}{22}.
  • 12\frac{1}{2} is adjusted to 1×1122=1122\frac{1 \times 11}{22} = \frac{11}{22}.

Now, add the adjusted fractions:

422+1122=4+1122=1522\frac{4}{22} + \frac{11}{22} = \frac{4 + 11}{22} = \frac{15}{22}

Therefore, the solution to the problem is 1522\frac{15}{22}.

The correct answer from the choices provided is 1522\frac{15}{22}.

Answer

1522 \frac{15}{22}