Dividing Mixed Numbers

The 'keep change flip' method simplifies the process of converting division by a fraction to multiplication by its reciprocal, making it easier to solve.

First, convert each mixed number into an improper fraction. Then, convert the division problem to a multiplication problem using 'keep change flip'. Multiply the two improper fractions and finally, convert the result back to a mixed number.

The improper fraction for 8 and 2/3 is 26/3.

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

'Keep change flip' is a method to convert a division problem into a multiplication problem. You keep the first fraction, change division to multiplication, and flip the second fraction.

You can simplify by canceling out common factors between the numerators and denominators before multiplying.

The final answer to the first example as a mixed number is 2 and 2/3.

To convert an improper fraction back to a mixed number, divide the numerator by the denominator to get the whole number, and the remainder becomes the new numerator over the original denominator.

The improper fractions for 3 and 3/2 and 1 and 1/2 are 38/2 and 7/2, respectively.

If the numbers cannot be simplified, you multiply the numerators and the denominators directly.

The final answer to the second example as a mixed number is 2 and 6/35.

The key concept in dividing mixed numbers is converting them to improper fractions, performing the multiplication, and then converting the result back to a mixed number.

We convert division to multiplication in the 'keep change flip' method because multiplying by the reciprocal is equivalent to dividing by the original number.

The final result may or may not be simplified, depending on whether the numerator and denominator have common factors other than 1.

Finding the highest multiple just under the numerator helps in converting the improper fraction back to a mixed number by determining the whole number part of the mixed number.

There are no specific shortcuts for dividing mixed numbers; the standard method involves converting to improper fractions and then multiplying.

Keeping the denominator the same ensures that the fractions are equivalent and can be properly multiplied or divided.

The result is a mixed number if the numerator is greater than the denominator after multiplication.

The 'keep change flip' method simplifies the process of converting division by a fraction to multiplication by its reciprocal, making it easier to solve.

First, convert each mixed number into an improper fraction. Then, convert the division problem to a multiplication problem using 'keep change flip'. Multiply the two improper fractions and finally, convert the result back to a mixed number.