{ "query": { "display": "simplify $$-9\\cdot\\:\\frac{1}{3}$$", "symbolab_question": "SIMPLIFY#simplify -9\\cdot \\frac{1}{3}" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "-3", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$-9\\cdot\\:\\frac{1}{3}=-3$$", "input": "-9\\cdot\\:\\frac{1}{3}", "steps": [ { "type": "step", "primary": "Convert element to fraction: $$9=\\frac{9}{1}$$", "result": "=-\\frac{9}{1}\\cdot\\:\\frac{1}{3}" }, { "type": "step", "primary": "Apply the fraction rule: $$\\frac{a}{b}\\cdot\\:\\frac{c}{d}=\\frac{a\\:\\cdot\\:\\:c}{b\\:\\cdot\\:\\:d}$$", "secondary": [ "$$\\frac{9}{1}\\cdot\\:\\frac{1}{3}=\\frac{9\\cdot\\:1}{1\\cdot\\:3}$$" ], "result": "=-\\frac{9\\cdot\\:1}{1\\cdot\\:3}" }, { "type": "interim", "title": "$$\\frac{9\\cdot\\:1}{1\\cdot\\:3}=3$$", "input": "\\frac{9\\cdot\\:1}{1\\cdot\\:3}", "steps": [ { "type": "interim", "title": "$$\\frac{9\\cdot\\:1}{1\\cdot\\:3}=\\frac{9}{3}$$", "input": "\\frac{9\\cdot\\:1}{1\\cdot\\:3}", "steps": [ { "type": "step", "primary": "Multiply the numbers: $$9\\cdot\\:1=9$$", "result": "=\\frac{9}{1\\cdot\\:3}" }, { "type": "step", "primary": "Multiply the numbers: $$1\\cdot\\:3=3$$", "result": "=\\frac{9}{3}" } ], "meta": { "solvingClass": "Solver2", "interimType": "Solver2", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7uV9rMl+3JXllH4P4znaeozDbq3M5/V1NyP/0M96JWzdV00rpv8+ZC6TM10tVCSHs0xDS+Y5aj0hl+F6LvDaAlpr3LwHUV0jBgzAMOoRZ7tsAiUGdeoKbruQww9ZXqqlnDNk3Nd5thevl7uGJEScqFKear9BvYS9tKjjJXWWp8z2wiNrEngO+NNvZ9sqNu+2V" } }, { "type": "step", "result": "=\\frac{9}{3}" }, { "type": "step", "primary": "Divide the numbers: $$\\frac{9}{3}=3$$", "result": "=3" } ], "meta": { "solvingClass": "Solver2", "interimType": "Solver2", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7uV9rMl+3JXllH4P4znaeozDbq3M5/V1NyP/0M96JWzdV00rpv8+ZC6TM10tVCSHsfkCf+nMW7U/lPepbkcCiqAeTV4u20zW11V5PLOwL6WtRaNLS+0XA0uw2kAP81u9Wea2BxbFQCAYhtZguklc3EQ==" } }, { "type": "step", "result": "=-3" } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }