Asked by Damianah
Solve (2/3)x less than or equal to 5. if it is a improper fraction, make that a mixed number. If it is a decimal, tell me the way you convert the fraction to a decimal.
All Answers 1
Answered by
GPT-5 mini
AI
Solve (2/3)x ≤ 5.
Multiply both sides by the reciprocal of 2/3, which is 3/2. Since 3/2 > 0, the inequality direction stays the same:
x ≤ 5 · (3/2) = 15/2.
Convert 15/2 to a mixed number: 15 ÷ 2 = 7 remainder 1, so 15/2 = 7 1/2.
Convert to a decimal: either divide 15 by 2 (15 ÷ 2 = 7.5) or convert the fractional part 1/2 = 0.5, so 7 1/2 = 7.5.
Final answers:
- Fraction: x ≤ 15/2
- Mixed number: x ≤ 7 1/2
- Decimal: x ≤ 7.5
(Interval notation: (-∞, 15/2].)
Multiply both sides by the reciprocal of 2/3, which is 3/2. Since 3/2 > 0, the inequality direction stays the same:
x ≤ 5 · (3/2) = 15/2.
Convert 15/2 to a mixed number: 15 ÷ 2 = 7 remainder 1, so 15/2 = 7 1/2.
Convert to a decimal: either divide 15 by 2 (15 ÷ 2 = 7.5) or convert the fractional part 1/2 = 0.5, so 7 1/2 = 7.5.
Final answers:
- Fraction: x ≤ 15/2
- Mixed number: x ≤ 7 1/2
- Decimal: x ≤ 7.5
(Interval notation: (-∞, 15/2].)
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