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A carpenter had a 20-foot piece of lumber from which he cut three pieces. One piece was 6 1/2feet long and the other was 3 5/8 feet long. How long was the Remaining piece?

Sagot :

Total length: 20 feet
First piece: 6 ¹/₂ feet or 13/2 feet
Second piece:  3 ⁵/₈ feet or 29/8 feet
Third piece: x

Equation:
x = 20 - (13/2 + 29/8)
x = 20 - (52/8 + 29/8)
x = 20 - (81/8)
x = 160/8   -  81/8
x = 79/8

The third or remaining piece is 79/8 feet or 9 ⁷/₈ feet

Check:
52/8  +  29/8  + 79/8 = 20
160/8 = 20
20 = 20

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