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

7/24 : 35/48

= 7/24 * 48/35. 7 into 35 is 5. 24 into 48 is 2.

= 2/5