simplify-3-(-1/2)

{ "query": { "display": "simplify $$-3-\\left(-\\frac{1}{2}\\right)$$", "symbolab_question": "SIMPLIFY#simplify -3-(-\\frac{1}{2})" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "-\\frac{5}{2}", "decimal": "-2.5", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$-3-\\left(-\\frac{1}{2}\\right)=-\\frac{5}{2}$$", "input": "-3-\\left(-\\frac{1}{2}\\right)", "steps": [ { "type": "step", "primary": "Apply rule: $$a-\\left(-b\\right)=a+b$$", "secondary": [ "$$-3-\\left(-\\frac{1}{2}\\right)=-3+\\frac{1}{2}$$" ], "result": "=-3+\\frac{1}{2}" }, { "type": "interim", "title": "$$-3+\\frac{1}{2}=-\\frac{5}{2}$$", "input": "-3+\\frac{1}{2}", "steps": [ { "type": "interim", "title": "Convert $$-3\\:$$to fraction $$:{\\quad}\\frac{-6}{2}$$", "input": "-3", "steps": [ { "type": "step", "primary": "Apply the fraction rule: $$a=\\frac{ab}{b}$$", "result": "=\\frac{-3\\cdot\\:2}{2}" }, { "type": "step", "primary": "Multiply the numbers: $$3\\cdot\\:2=6$$", "result": "=\\frac{-6}{2}" } ], "meta": { "solvingClass": "Solver2", "interimType": "Join Convert Element to Fractions Title 1Eq" } }, { "type": "step", "result": "=\\frac{-6}{2}+\\frac{1}{2}" }, { "type": "interim", "title": "$$\\frac{-6}{2}+\\frac{1}{2}=\\frac{-5}{2}$$", "input": "\\frac{-6}{2}+\\frac{1}{2}", "steps": [ { "type": "step", "primary": "Apply the fraction rule: $$\\frac{a}{c}+\\frac{b}{c}=\\frac{a+b}{c}$$", "result": "=\\frac{-6+1}{2}" }, { "type": "step", "primary": "Add the numbers: $$-6+1=-5$$", "result": "=\\frac{-5}{2}" } ], "meta": { "solvingClass": "Solver2", "interimType": "Solver2", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s71mBq23rOvw1jOhQrNzVJlNUvKfYRwyr3bSr0Zzzy5PsgJ/ZZA32ZInFBpDtxBfiKXYGCmiBF99lesmXZ9iIfJ9ueGYCLivTVa7ASYeP5iBoBQWSKkTMaeKjhStadH/wDDKbxwUtuOGbApnxzfOtZ7o8HngzwGsnWOCHTnnaGU9Qkt3WiGR7ZaCaXvz77bMjS" } }, { "type": "step", "result": "=\\frac{-5}{2}" }, { "type": "step", "primary": "Apply the fraction rule: $$\\frac{-a}{b}=-\\frac{a}{b}$$", "result": "=-\\frac{5}{2}" } ], "meta": { "solvingClass": "Solver2", "interimType": "Solver2", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7DfRbDQNMgZ5gH/nQfIKICHyRHuGw7+tM5METTDj6vVHDFYNeJ0RX0LOwY+dS7jXMRdpYcAIab/l9DlHDcuD8tR7y43bBcnGmWQmuGlctIa6xPVlkEHblqvHEB374GSacC3BZzXNQTQmLw4mfdRpLMg==" } }, { "type": "step", "result": "=-\\frac{5}{2}" } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }