Question

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

Answer 1

`\huge{\boxed{(1)/(7)}}`

To divide by a fraction, you multiply by its reciprocal. (Find the reciprocal by flipping the numerator and denominator.)
`(1)/(8) / (7)/(8) = (1)/(8) * (8)/(7)`

Multiply the numerators together and multiply the denominators together.
`(1)/(8) * (8)/(7) = (1*8)/(8*7) = (8)/(56)`

Divide both the numerator and the denominator by
`8` to simplify the fraction.
`(8 / 8)/(56 / 8) = \boxed{(1)/(7)}`