Solve Fraction Division: 2/3 ÷ 3/8 Step-by-Step

Video Solution

Solution Steps

00:00 Solve

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

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

00:15 Make sure to multiply numerator by numerator and denominator by denominator

00:22 Let's calculate the products

00:28 Break down 16 into 9 plus 7

00:35 Break down the fraction into a whole number and remainder

00:41 Any number divided by itself always equals 1

00:47 Convert to a mixed fraction

00:50 And this is the solution to the question

Step-by-Step Solution

To solve the division of fractions $\frac{2}{3}$ by $\frac{3}{8}$ , we follow these steps:

Step 1: Identify the reciprocal of the second fraction $\frac{3}{8}$ . The reciprocal is $\frac{8}{3}$ .
Step 2: Multiply the first fraction $\frac{2}{3}$ by the reciprocal $\frac{8}{3}$ :

$\frac{2}{3} \times \frac{8}{3}$

$\frac{2 \times 8}{3 \times 3} = \frac{16}{9}$

Step 4: Simplify the resulting fraction, if possible. In this case, $\frac{16}{9}$ is already in its simplest form.
Step 5: Convert the improper fraction $\frac{16}{9}$ to a mixed number:

$16 \div 9 = 1$ remainder $7$ , so the mixed number is $1\frac{7}{9}$ .

Therefore, the solution to the problem is ${1\frac{7}{9}}$ .