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