simplify 2/9*6/5

{ "query": { "display": "simplify $$\\frac{2}{9}\\cdot\\:\\frac{6}{5}$$", "symbolab_question": "SIMPLIFY#simplify \\frac{2}{9}\\cdot \\frac{6}{5}" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "\\frac{4}{15}", "decimal": "0.26666…", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\frac{2}{9}\\cdot\\:\\frac{6}{5}=\\frac{4}{15}$$", "input": "\\frac{2}{9}\\cdot\\:\\frac{6}{5}", "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\\:6}{9\\cdot\\:5}" }, { "type": "interim", "title": "Cancel $$\\frac{2\\cdot\\:6}{9\\cdot\\:5}:{\\quad}\\frac{4}{15}$$", "input": "\\frac{2\\cdot\\:6}{9\\cdot\\:5}", "steps": [ { "type": "step", "primary": "Factor the number: $$6=3\\cdot\\:2$$", "result": "=\\frac{2\\cdot\\:3\\cdot\\:2}{9\\cdot\\:5}" }, { "type": "step", "primary": "Factor the number: $$9=3\\cdot\\:3$$", "result": "=\\frac{2\\cdot\\:3\\cdot\\:2}{3\\cdot\\:3\\cdot\\:5}" }, { "type": "step", "primary": "Cancel the common factor: $$3$$", "result": "=\\frac{2\\cdot\\:2}{3\\cdot\\:5}" }, { "type": "interim", "title": "$$\\frac{2\\cdot\\:2}{3\\cdot\\:5}=\\frac{4}{15}$$", "input": "\\frac{2\\cdot\\:2}{3\\cdot\\:5}", "steps": [ { "type": "step", "primary": "Multiply the numbers: $$2\\cdot\\:2=4$$", "result": "=\\frac{4}{3\\cdot\\:5}" }, { "type": "step", "primary": "Multiply the numbers: $$3\\cdot\\:5=15$$", "result": "=\\frac{4}{15}" } ], "meta": { "solvingClass": "Solver2", "interimType": "Solver2", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s76wwMXmpSw8uHSAcJv7PDwnbQ3sBL30EdVMkKdh2itgRV00rpv8+ZC6TM10tVCSHs0xDS+Y5aj0hl+F6LvDaAlpSfvO6YSv0NdJowfE0lOH1IkJXPLzAqCpmPE8kLSnwipEhVdJrKJeu4w9yVImkm8+KdxiXqpKOqR8Yo3oSZpEscVfaNUbNnvQHnbUTm4aYo" } }, { "type": "step", "result": "=\\frac{4}{15}" } ], "meta": { "solvingClass": "Solver2", "interimType": "Generic Cancel Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s79Kg+idP5vLVrjUll6eMdYgtZrO3yD6HqWem4EHiw0X7HEHFG6ArX/giiBOWjyVT0q47vuWedXv2WUg94ER8IwS4jh5S+xiF00tXucjkeAXijeh7+jKEzLb7VNCEMF3Z/kINumtumxzrqx0/LiInMz9Ce8LZm/APxLH49QpDIwB2+ZuqpdItYYc/TpwTKmU0S" } }, { "type": "step", "result": "=\\frac{4}{15}" } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }