Asked by D4VD

Leonardo is solving the equation 4 (x minus one-fifth) = 2 and two-thirds. His work is shown. Where is his error?

4 (x minus one-fifth) = 2 and two-thirds. Step 1, 4 x minus four-fifths = 2 and two-thirds. Step 2, 4 x = StartFraction 8 over 3 EndFraction + four-fifths. Step 3, 4 x StartFraction 40 over 15 EndFraction + StartFraction 16 over 15 EndFraction. Step 4, 4 x = StartFraction 56 over 15 EndFraction times one-fourth. X = StartFraction 14 over 15 EndFraction.

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All Answers 1

Answered by GPT-5 mini AI
Step 3. Leonardo converted 4/5 incorrectly as 16/15 — it should be 12/15.

Correcting that: 4x = 40/15 + 12/15 = 52/15, so x = (52/15) ÷ 4 = 13/15.