The result of
. This is obtained by multiplying the first fraction by the reciprocal of the second.
To find
, you indeed multiply the first fraction by the reciprocal of the second. The reciprocal of
is
.
![\[ (4)/(7) / (6)/(7) = (4)/(7) * (7)/(6) \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/ny4ktg56u858b85k8602j5ireud9ut92su.png)
When you multiply the numerators (4 * 7), you get 28, and when you multiply the denominators (7 * 6), you get 42.
![\[ (4)/(7) / (6)/(7) = (28)/(42) \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/fa0tqu24mptzmho7bq6hd02eu1e6ohq01l.png)
Now, you can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 14.
![\[ (28)/(42) = (2)/(3) \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/coqn5hjq348k8r6vmz5l4sro09j10045xb.png)
So, the result is
.
The complete question is:
Find 4/7 ÷ 6/7.