Solve Fraction Division: 4/6 ÷ 3/7 Step-by-Step

Video Solution

Solution Steps

00:07 Let's solve this problem step by step.

00:11 Instead of dividing, we're going to multiply by the reciprocal.

00:16 This means we'll switch the numerator and denominator in the fraction.

00:21 Remember to multiply the numerators together, and the denominators together too.

00:26 Now, let's calculate these products.

00:32 Break down 28 into eighteen plus ten to make it easier.

00:38 Separate the fraction into a whole number and a remainder.

00:45 Remember, any number divided by itself equals one.

00:49 Next, reduce the fraction as much as you can.

00:53 Ensure you divide both the numerator and the denominator.

00:58 Let's calculate the quotients now.

01:01 Finally, convert the result into a mixed number.

01:05 And that's how we solve this problem!

Step-by-Step Solution

To solve the fraction division problem $\frac{4}{6} : \frac{3}{7}$ , follow these steps:

Simplify by finding the greatest common divisor (GCD) of 4 and 6, which is 2. Divide both the numerator and denominator by 2:

$\frac{4}{6} = \frac{4/2}{6/2} = \frac{2}{3}$

The reciprocal of $\frac{3}{7}$ is $\frac{7}{3}$ .

Step 3: Multiply the simplified first fraction by the reciprocal of the second.

$\frac{2}{3} \times \frac{7}{3} = \frac{2 \times 7}{3 \times 3} = \frac{14}{9}$

Divide 14 by 9, which gives a quotient of 1 and a remainder of 5:

$\frac{14}{9} = 1\frac{5}{9}$

Therefore, the solution to the problem is $1\frac{5}{9}$ .