tammybradley tammybradley
  • 22-02-2018
  • Mathematics
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Is 12/42=10/35 a true proportion

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zrh2sfo
zrh2sfo zrh2sfo
  • 22-02-2018
Yes, they both are 2/7

Proof: Left-hand side

Simplify the following:
12/42

The gcd of 12 and 42 is 6, so 12/42 = (6×2)/(6×7) = 6/6×2/7 = 2/7:
Answer:  2/7
Right-hand side:

Simplify the following:
10/35
The gcd of 10 and 35 is 5, so 10/35 = (5×2)/(5×7) = 5/5×2/7 = 2/7:
Answer:  2/7
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