{ "query": { "display": "simplify $$-\\frac{1}{2}\\cdot\\:\\frac{3}{4}$$", "symbolab_question": "SIMPLIFY#simplify -\\frac{1}{2}\\cdot \\frac{3}{4}" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "-\\frac{3}{8}", "decimal": "-0.375", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$-\\frac{1}{2}\\cdot\\:\\frac{3}{4}=-\\frac{3}{8}$$", "input": "-\\frac{1}{2}\\cdot\\:\\frac{3}{4}", "steps": [ { "type": "step", "primary": "Apply the fraction rule: $$\\frac{a}{b}\\cdot\\:\\frac{c}{d}=\\frac{a\\:\\cdot\\:\\:c}{b\\:\\cdot\\:\\:d}$$", "secondary": [ "$$\\frac{1}{2}\\cdot\\:\\frac{3}{4}=\\frac{1\\cdot\\:3}{2\\cdot\\:4}$$" ], "result": "=-\\frac{1\\cdot\\:3}{2\\cdot\\:4}" }, { "type": "step", "primary": "Multiply the numbers: $$1\\cdot\\:3=3$$", "result": "=-\\frac{3}{2\\cdot\\:4}" }, { "type": "step", "primary": "Multiply the numbers: $$2\\cdot\\:4=8$$", "result": "=-\\frac{3}{8}" } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }