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

00:00 Solve

00:03 Instead of division, we'll use multiplication by the reciprocal

00:09 We'll flip between the numerator and denominator of the fraction

00:17 Make sure to multiply numerator by numerator and denominator by denominator

00:25 Calculate the multiplications

00:33 Add with the common denominator

00:38 Calculate the numerator

00:42 Any number divided by itself always equals 1

00:45 And this is the solution to the question

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 $1$ .