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

Question

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

Video Solution

Solution Steps

00:00 Solve
00:03 We want to find the least common denominator
00:06 Multiply each fraction by the other denominator to find the common denominator
00:09 Remember to multiply both numerator and denominator
00:26 Calculate the multiplications
00:34 Add under the common denominator
00:38 Calculate the numerator
00:41 And this is the solution to the 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}