Simplify the following:
8 + 1/4 - (6 + 15/32)
Put 6 + 15/32 over the common denominator 32. 6 + 15/32 = (32×6)/32 + 15/32:
8 + 1/4 - (32×6)/32 + 15/32
32×6 = 192:
8 + 1/4 - (192/32 + 15/32)
192/32 + 15/32 = (192 + 15)/32:
8 + 1/4 - (192 + 15)/32
8 + 1/4 - 207/32
Put 8 + 1/4 - 207/32 over the common denominator 32. 8 + 1/4 - 207/32 = (32×8)/32 + 8/32 - (207)/32:
(32×8)/32 + 8/32 - (207)/32
32×8 = 256:
256/32 + 8/32 - (207)/32
256/32 + 8/32 - 207/32 = (256 + 8 - 207)/32:
(256 + 8 - 207)/32
Answer: |57/32 = 1 25/32
