simplify 2/5*1/6

{ "query": { "display": "simplify $$\\frac{2}{5}\\cdot\\:\\frac{1}{6}$$", "symbolab_question": "SIMPLIFY#simplify \\frac{2}{5}\\cdot \\frac{1}{6}" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "\\frac{1}{15}", "decimal": "0.06666…", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\frac{2}{5}\\cdot\\:\\frac{1}{6}=\\frac{1}{15}$$", "input": "\\frac{2}{5}\\cdot\\:\\frac{1}{6}", "steps": [ { "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\\:1}{5\\cdot\\:6}" }, { "type": "interim", "title": "Cancel $$\\frac{2\\cdot\\:1}{5\\cdot\\:6}:{\\quad}\\frac{1}{15}$$", "input": "\\frac{2\\cdot\\:1}{5\\cdot\\:6}", "steps": [ { "type": "step", "primary": "Multiply the numbers: $$2\\cdot\\:1=2$$", "result": "=\\frac{2}{5\\cdot\\:6}" }, { "type": "step", "primary": "Cancel the numbers: $$\\frac{2}{6}=\\frac{1}{3}$$", "result": "=\\frac{1}{5\\cdot\\:3}" }, { "type": "step", "primary": "Multiply the numbers: $$5\\cdot\\:3=15$$", "result": "=\\frac{1}{15}" } ], "meta": { "solvingClass": "Solver2", "interimType": "Generic Cancel Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s79Kg+idP5vLVrjUll6eMdYj7tCyhHCzN6XQLpuMv7IevTQjq48NuLIAiUnoEuRMqYq47vuWedXv2WUg94ER8IwY0NUKoQlII0kEO2XvUOerOjeh7+jKEzLb7VNCEMF3Z/kINumtumxzrqx0/LiInMz4qmnIyvCtxw1R9LS7PmuJEuLlIpnUSQvo7Sg9WXMvqP" } }, { "type": "step", "result": "=\\frac{1}{15}" } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }