Solve Mixed Fraction Operations: (2/3 ÷ 3/4) + 1/9

Complete the following exercise:

$\frac{2}{3}:\frac{3}{4}+\frac{1}{9}=\text{?}$

Video Solution

Solution Steps

00:05 Let's solve this problem step by step.

00:09 Here's a helpful tip: instead of dividing, we can multiply by the reciprocal. This makes things easier!

00:16 To find the reciprocal, we simply flip the fraction upside down - the numerator becomes the denominator, and vice versa.

00:24 Now, remember this important rule: when multiplying fractions, multiply the numerators together, and do the same for the denominators.

00:32 Let's work out these multiplications carefully.

00:38 Now we can add the fractions using a common denominator.

00:43 Let's calculate the numerator part next.

00:47 Here's an important fact to remember: whenever you divide a number by itself, you always get 1.

00:54 And there we have it! We've successfully solved the problem. Great job following along!

Step-by-Step Solution

To solve this fraction problem, follow these steps:

Step 1: Evaluate the Division:
The expression starts with $\frac{2}{3} \div \frac{3}{4}$ . To divide fractions, multiply by the reciprocal:
$\frac{2}{3} \times \frac{4}{3} = \frac{2 \times 4}{3 \times 3} = \frac{8}{9}$
Step 2: Add Fractions:
Now add $\frac{8}{9}$ to $\frac{1}{9}$ . Since the denominators are the same, add the numerators directly:
$\frac{8}{9} + \frac{1}{9} = \frac{8 + 1}{9} = \frac{9}{9} = 1$

Thus, the solution to the expression $\frac{2}{3}:\frac{3}{4} + \frac{1}{9}$ is $1$ .