Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction

Given:
1st fraction - 7/24
2nd fraction - 34/48

Rules in dividing fractions:

1) Get the reciprocal of the 2nd fraction.
34/48 becomes 48/34

2) Multiply the 1st fraction to the reciprocal of the 2nd fraction
7/24 * 48/34 = 7*48 / 24*34 = 336/816

3) Simplify the fraction
336/816 ⇒ 112/272 ⇒ 56/136 ⇒ 14/34 ⇒ 7/17

336 ÷ 3 = 112
816 ÷ 3 = 272

112 ÷ 2 =   56
272 ÷ 2 = 136

  56 ÷ 4 =   14
136 ÷ 4 =   34

  14 ÷ 2  =     7
  34 ÷ 2 =   17

7/24 ÷ 35/48 = 7/17

The answer is something i don’t know