Calculation: 8 3 / 4 △ 0.375 × (7-2 1 / 14 × 2 1 / 3) + 1 / 6]

Calculation: 8 3 / 4 △ 0.375 × (7-2 1 / 14 × 2 1 / 3) + 1 / 6]

=8 and 3 / 4 △ [3 / 8 × (7-29 / 14 × 7 / 3) + 1 / 6]
=8 and 3 / 4 △ [3 / 8 × (7-29 / 6) + 1 / 6]
=8 and 3 / 4 △ (3 / 8 × 13 / 6 + 1 / 6)
=8 and 3 / 4 (39 / 48 + 8 / 48)
=35/4÷47/48
=420/47
=8 and 44 / 47

Is there a simple method for 3 / 4 × 0.375 + 3 / 8 × 3.25

It's much easier to convert a decimal into a fraction: 0.375 = 3 / 8, 3.25 = 13 / 4, and then extract the common factor 3 / 8 to get
3/8×4=1.5

A simple method for the addition of rational numbers: 0.375 + 2 / 3 + (- 1 / 6) + (- 1 / 8)

375 + 2 / 3 + (- 1 / 6) + (- 1 / 8)
=3/8＋2/3-1/6-1/8
=(3/8-1/8）＋(2/3-1/6)
=2/8+3/6
=1/4+2/4
=3 / 4 (3 / 4)