Solve: (2/3 × 2/3) + 4/9 Fraction Expression

Question

23×23+49= \frac{2}{3}\times\frac{2}{3}+\frac{4}{9}=

Video Solution

Solution Steps

00:00 Solve
00:03 Make sure to multiply numerator by numerator and denominator by denominator
00:08 Calculate the multiplications
00:14 Add with the common denominator
00:18 Calculate the numerator
00:22 And this is the solution to the question

Step-by-Step Solution

To solve the given problem, we will follow these steps:

  • Step 1: Perform the multiplication of the fractions.
  • Step 2: Simplify the result, if applicable.
  • Step 3: Add the simplified fractional result to the given fraction, ensuring the denominators align properly.
  • Step 4: Simplify the final result, if necessary.

Let's go through each step:

Step 1: Multiply the fractions 23×23=2×23×3=49 \frac{2}{3} \times \frac{2}{3} = \frac{2 \times 2}{3 \times 3} = \frac{4}{9} .

Step 2: The result from step 1 is 49\frac{4}{9}, which cannot be further simplified.

Step 3: Add the result from Step 2 to 49\frac{4}{9} given in the problem:
We have two fractions 49\frac{4}{9} and 49\frac{4}{9}, and since they already have a common denominator, we add them directly:
49+49=4+49=89\frac{4}{9} + \frac{4}{9} = \frac{4 + 4}{9} = \frac{8}{9}.

Step 4: The fraction 89\frac{8}{9} is already in its simplest form.

Therefore, the solution to the problem is 89 \frac{8}{9} .

Answer

89 \frac{8}{9}