Question

Ayuda con suma y resta de fracciones espero me puedan resolver estos ejercicios con procedimiento ya que no pude muchas gracias.

1) (1/2 + 1/3) / (5/12 - 1/6)

2) (1/3 - 1/4) / 2/3

3) 5/(4/1/4 - 1/8)

4) (1/2 + 1/3) / (5/12 - 1/16)

5) (3/4 + 1/6) / (3/10 + 1/15)

Answer 1

1.-  (1/2 + 1/3 ) / ( 5/12 - 1/6 ) = ( 3 + 2 )/6 ÷ ( 30 - 12 )/12 = 5/6 ÷ 8/12
= ( 5 x 12 ) / ( 6 x 18 ) = 60/108 = 30/54 = 15/27 = 5/9

2.- ( 1/3 - 1/4 ) / 2/3 = ( 4 - 3 ) / 12 ÷ 2/3 = 1/12 ÷ 2/3 = ( 3 x 1 ) / ( 12 x 2 )
= 3 / 24 = 1/8

3.- 5 / ( 4/14 - 1/8 ) = 5 / ( 4/1/1/4 - 1/8 ) = 5 / ( 16 - 1/8 ) = 5 / ( (128 - 1) / 8 )
= 5/1 / 127/8 = 40/127

4.- ( 1/2 + 1/3 ) / 5/12 - 1/16 ) = ( 3 + 2 ) / 6 / (20 - 3)/48 = 5/6 / 17/48 
= 240/102 = 120/51 = 40/17 = 2⁶/₁₇

5.- ( 3/4 + 1/6 ) / ( 3/10 + 1/15 ) = ( 9 + 2 ) / 12 / ( 9 + 2 ) /30 = 11/12 / 11/30
= ( 3 x11 ) / ( 12 x 11 ) = 30/12 = 5/2 = 2 ¹/₂