1 ÷ (1 and 1 / 6-8 and 3 / 4 × 2 / 7) + 7 / 18 ÷ 14 / 27

1 ÷ (1 and 1 / 6-8 and 3 / 4 × 2 / 7) + 7 / 18 ÷ 14 / 27

Two out of nine divided by two out of seven divided by fourteen out of fifteen

Two out of nine divided by two out of seven divided by fourteen out of fifteen
=2/9x 7/2 x 15/14
=2x7x15/(9x2x14)
=5 / 6 (5 / 6)

Five sixths divided by two and seven ninths divided by 14 fifths

Five sixths divided by two and seven ninths divided by 14 fifths
=5/6*9/25*15/14
=5*9*15/(6*25*14）
=27/28

9 ^ (M + 3) × 27 ^ (M + 1) △ 3 ^ (4m + 7) = 81, find M

9^（m+3)×27^（m+1）÷3^（4m+7）=81
3^（2m+6)×3^（3m+3）÷3^（4m+7）=81
3^(2m+6+3m+3-4m-7)=3^4
2m+6+3m+3-4m-7=4
m+2=4
m=2