Divide. 2/3÷3/4 express your answer in simplest form. enter your answer in the box.

8/9

Step-by-step explanation:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

23×43=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

2×43×3=89

This fraction cannot be reduced.

Therefore:

23÷34=89

Solution by Formulas

Apply the fractions formula for division, to

23÷34

and solve

2×43×3

=89

Therefore:

23÷34=89

Step-by-step explanation:

The division of fractions consists in reversing the SECOND FRACTION, that is, changing the denominator for the numerator and changing the numerator for the denominator. Then, the two fractions are multiplied. So:

÷=

To multiply fractions, you multiply the numerator of one fraction by the numerator of the other and the denominator of a fraction by the denominator of the other. In this case:

Finally: ÷=

Given ÷, another simple method is to multiply the numerator of the first fraction by the denominator of the second fraction and place the result in the numerator of the final fraction. On the other hand, you multiply the denominator of the first fraction by the numerator of the second fraction and write the result in the denominator of the final fraction. This method is called the cross method.

By performing this last method you get the same result as in the previous method.