Solve: (2/3 × 1/3) + 2/9 Fraction Expression

Question

23×13+29= \frac{2}{3}\times\frac{1}{3}+\frac{2}{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
00:20 Calculate the numerator
00:26 And this is the solution to the question

Step-by-Step Solution

To solve this problem, let's follow these steps:

  • Step 1: Multiply the fractions. Calculate 23×13 \frac{2}{3} \times \frac{1}{3} .
  • Step 2: Add the product to another fraction. Add the result to 29 \frac{2}{9} .

Now, let's work through the calculations:

Step 1: Multiply 23\frac{2}{3} by 13\frac{1}{3}.

The formula for multiplying fractions is:

ab×cd=a×cb×d \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} .

Substitute the values:

23×13=2×13×3=29 \frac{2}{3} \times \frac{1}{3} = \frac{2 \times 1}{3 \times 3} = \frac{2}{9} .

Step 2: Add 29\frac{2}{9} to the product.

We found in Step 1 that 23×13=29 \frac{2}{3} \times \frac{1}{3} = \frac{2}{9} .

Now add 29+29=2+29=49 \frac{2}{9} + \frac{2}{9} = \frac{2 + 2}{9} = \frac{4}{9} .

Therefore, the solution to the expression is 49 \frac{4}{9} .

Answer

49 \frac{4}{9}