Dividing Fractions by Fractions - a Step-by-Step Guide

When dividing fractions, remainders are not typically encountered since the division results in another fraction. However, if there is a remainder, it can be expressed as a mixed number or a fraction with a larger denominator.

To divide a fraction by another fraction, use the phrase 'keep, change, flip'. Keep the first fraction the same, change division to multiplication, and flip the second fraction.

The result of dividing 47/3 by 7 is 4/3.

The result of dividing 4/3 by 9/2 is 2/3.

The result of dividing 4/7 by 8/21 is 3/2.

You can simplify the fraction 12/18 by dividing both the numerator and the denominator by their greatest common divisor, which is 6. This gives you the fraction 2/3.

Canceling out numbers when multiplying fractions simplifies the calculation and makes it easier to find the answer.

The cancellation method involves breaking down the numerator and denominator of the fractions into smaller factors and canceling out any common factors before multiplying.

You can simplify 4/7 divided by 8/21 by breaking down 21 into 7 * 3 and 8 into 4 * 2, then canceling out the common factors of 4 and 7, resulting in 3/2.

Keeping the first fraction the same ensures that you are dividing by the correct fraction and not altering the original problem.

If you don't change division to multiplication, you will not be performing the correct operation and will not get the right answer.

Flipping a fraction means inverting it, so the numerator becomes the denominator and vice versa.

Yes, after dividing two fractions, you can simplify the resulting fraction by finding and dividing by the greatest common divisor of the numerator and the denominator.

The 'keep, change, flip' method is a mnemonic device that helps you remember the steps to divide fractions correctly: keep the first fraction, change division to multiplication, and flip the second fraction.

Apply the cancellation method when you can identify common factors between the numerators and denominators of the fractions being multiplied.

The final step after performing the 'keep, change, flip' method is to multiply the numerators and then multiply the denominators of the fractions.

Yes, you can divide a fraction by a whole number by first converting the whole number to a fraction with a denominator of 1, then applying the 'keep, change, flip' method.

You can simplify the fraction 84/126 by dividing both the numerator and the denominator by their greatest common divisor, which is 42. This gives you the fraction 2/3.

The result of dividing 5/8 by 3/5 is 25/24.

To divide a fraction by a mixed number, first convert the mixed number to an improper fraction, then apply the 'keep, change, flip' method to divide by the improper fraction.

When dividing fractions, remainders are not typically encountered since the division results in another fraction. However, if there is a remainder, it can be expressed as a mixed number or a fraction with a larger denominator.

To divide a fraction by another fraction, use the phrase 'keep, change, flip'. Keep the first fraction the same, change division to multiplication, and flip the second fraction.