- 5/6 divided by 5/7

1 answer

To divide fractions, you multiply by the reciprocal of the divisor.

So, to divide \( \frac{5}{6} \) by \( \frac{5}{7} \), you multiply \( \frac{5}{6} \) by the reciprocal of \( \frac{5}{7} \):

\[ \frac{5}{6} \div \frac{5}{7} = \frac{5}{6} \times \frac{7}{5} \]

Now, multiplying the numerators and the denominators:

\[ \frac{5 \times 7}{6 \times 5} = \frac{35}{30} \]

Next, simplify \( \frac{35}{30} \):

Both the numerator and the denominator can be divided by 5:

\[ \frac{35 \div 5}{30 \div 5} = \frac{7}{6} \]

So, \( \frac{5}{6} \div \frac{5}{7} = \frac{7}{6} \).