simplify 2/3*12

{ "query": { "display": "simplify $$\\frac{2}{3}\\cdot\\:12$$", "symbolab_question": "SIMPLIFY#simplify \\frac{2}{3}\\cdot 12" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "8", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\frac{2}{3}\\cdot\\:12=8$$", "input": "\\frac{2}{3}\\cdot\\:12", "steps": [ { "type": "step", "primary": "Convert element to fraction: $$12=\\frac{12}{1}$$", "result": "=\\frac{2}{3}\\cdot\\:\\frac{12}{1}" }, { "type": "step", "primary": "Apply the fraction rule: $$\\frac{a}{b}\\cdot\\:\\frac{c}{d}=\\frac{a\\:\\cdot\\:\\:c}{b\\:\\cdot\\:\\:d}$$", "result": "=\\frac{2\\cdot\\:12}{3\\cdot\\:1}" }, { "type": "interim", "title": "Cancel $$\\frac{2\\cdot\\:12}{3\\cdot\\:1}:{\\quad}8$$", "input": "\\frac{2\\cdot\\:12}{3\\cdot\\:1}", "steps": [ { "type": "step", "primary": "Multiply the numbers: $$3\\cdot\\:1=3$$", "result": "=\\frac{2\\cdot\\:12}{3}" }, { "type": "step", "primary": "Divide the numbers: $$\\frac{12}{3}=4$$", "result": "=2\\cdot\\:4" }, { "type": "step", "primary": "Multiply the numbers: $$2\\cdot\\:4=8$$", "result": "=8" } ], "meta": { "solvingClass": "Solver2", "interimType": "Generic Cancel Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s79Kg+idP5vLVrjUll6eMdYiBnejvvmgX6TBZ+UqGvUIhoHpYayvDNk2OAeHm77brGCUCWbkwGOY7PqKo3U/JLJViPMkvFOG2HVlu9rFa1bRD6yIbnXo9wyrl10e8A1aRWDhKgzQz6ydwDx+1M+eshtJ6rDsET7Z6O2XOO/AHVbWuJqVxX90jlMfh9fKn6dzC4" } }, { "type": "step", "result": "=8" } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }