Question

Divide 4 1/6 ÷ 9 3/8​

Answer 1

Answer: $\frac{4}{9}$

Step-by-step explanation:

First you have to convert the mixed number into improper fraction.

$\frac{25}{6}$ ÷ $\frac{75}{8}$

Then you have to change the ÷ sign to multiplication. For this you have to turn the second fraction upside down. (reciprocal)

=$\frac{25}{6}$ x $\frac{8}{75}$

After that if you have any common factors within the fractions then you can simplify.

You can't simplify numerators with numerators or denominators with denominators.

You have to simplify numerators with denominators and vice versa

Here, 25 and 75 both can be divided by 25.

6 and 8 both can be divided by 2.

SO we can simplify it as,

=$\frac{1}{3}$ x $\frac{4}{3}$

Finally while multiplying you have to multiply the numerator with numerator and denominator with denominator.

=$\frac{4}{9}$