Leonardo is solving the equation 4(x−15)=223. His work is shown. Where is his error? Leonardo's Work 4 times open paren x minus 1 fifth close paren is equal to 2 and 2 thirds 4 x minus 4 fifths is equal to 2 and 2 thirds step 1 4 x is equal to 8 thirds plus 4 fifths step 2 4 x is equal to 40 over 15 plus 16 over 15 step 3 4 x is equal to 56 over 15 times 1 fourth step 4 x is equal to 14 over 15
Step 1 is correct: adding 4/5 to both sides gives 4x = 8/3 + 4/5. In step 2, 4/5 was incorrectly rewritten as 16/15; with denominator 15, 4/5 = 12/15. So the error is in step 2.
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