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Zorluk: KolayWrenches

A mechanic is organizing a set of standard fractional (SAE) combination wrenches on a magnetic tool rail. In what order should the mechanic arrange the following wrench sizes from smallest opening size to largest opening size?

  1. 15/16 in5/16\text{ in} wrench
  2. 23/8 in3/8\text{ in} wrench
  3. 37/16 in7/16\text{ in} wrench
  4. 41/2 in1/2\text{ in} wrench

Cevap

The correct sequence from smallest to largest opening size is 5/16 in5/16\text{ in}, 3/8 in3/8\text{ in}, 7/16 in7/16\text{ in}, and 1/2 in1/2\text{ in}.
To order fractional SAE wrenches from smallest to largest, express each size with a common denominator of 1616: 5/16 in5/16\text{ in}, 3/8 in=6/16 in3/8\text{ in} = 6/16\text{ in}, 7/16 in7/16\text{ in}, and 1/2 in=8/16 in1/2\text{ in} = 8/16\text{ in}. Comparing the numerators yields the sequence 5/16 in5/16\text{ in}, 3/8 in3/8\text{ in}, 7/16 in7/16\text{ in}, and 1/2 in1/2\text{ in}.

Adım Adım Çözüm

1
Convert each fraction to a common denominator of 16
5/16 in=5/16 in5/16\text{ in} = 5/16\text{ in}, 3/8 in=6/16 in3/8\text{ in} = 6/16\text{ in}, 7/16 in=7/16 in7/16\text{ in} = 7/16\text{ in}, and 1/2 in=8/16 in1/2\text{ in} = 8/16\text{ in}
Finding a common denominator allows direct comparison of fractional SAE wrench sizes.
2
Order the values by comparing their numerators
5/16<6/16<7/16<8/165/16 < 6/16 < 7/16 < 8/16
Since the denominators are identical, the size is directly proportional to the numerator.
3
List the original wrench sizes corresponding to the sorted order
5/16 in→3/8 in→7/16 in→1/2 in5/16\text{ in} \rightarrow 3/8\text{ in} \rightarrow 7/16\text{ in} \rightarrow 1/2\text{ in}
Restores the wrench labels to their standard commercial SAE sizing format.

Anahtar Kavram

Fractional SAE Wrench Sizing and Comparison
Tahmini Süre:45s
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