Simplify (3/4+1/3)×41/3÷31/4

Question

(3/4+1/3)×41/3÷31/4

Answer 1

Assuming (¾+⅓)×41/3÷(31/4),

(9/12+4/12)×41/3×4/31,

13/12×41/3×4/31,

13/3×41/3×1/31,

(13×41)/(3×3×31)=533/279.

Answer 2

3 / 4 = 3 ∙ 3 / 3 ∙ 4 = 9 / 12

1 / 3 = 4 ∙ 1 / 4 ∙ 3 = 4 / 12

3 / 4 +1 / 3 = 9 / 12 + 4 / 12 = 13 / 12

 

( 3 / 4 + 1 / 3 ) × 41 / 3 ÷ 31/4 =

( 13 / 12 ) ∙ ( 41 / 3 ) / ( 31 / 4 ) =

( 13 ∙ 41 ) / ( 12 ∙ 3 ) / ( 31 / 4 ) =

( 533 / 36 ) / ( 31 / 4 ) =

( 533 ∙ 4 ) / ( 36 ∙ 31 ) =

533 ∙ 4 / 1116 =

( 533 ∙ 4 ) / ( 279 ∙ 4 ) =

533 / 279