Question

#14-11: Simplify this complex fraction. 1/8 / 7/8

Answer 1

$\huge{\boxed{\frac{1}{7}}}$

To divide by a fraction, you multiply by its reciprocal. (Find the reciprocal by flipping the numerator and denominator.) $\frac{1}{8} \div \frac{7}{8} = \frac{1}{8} * \frac{8}{7}$

Multiply the numerators together and multiply the denominators together. $\frac{1}{8} * \frac{8}{7} = \frac{1*8}{8*7} = \frac{8}{56}$

Divide both the numerator and the denominator by $8$ to simplify the fraction. $\frac{8 \div 8}{56 \div 8} = \boxed{\frac{1}{7}}$