x/4 = 1/2

{ "query": { "display": "$$\\frac{x}{4}=\\frac{1}{2}$$", "symbolab_question": "EQUATION#\\frac{x}{4}=\\frac{1}{2}" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Equations", "subTopic": "Linear", "default": "x=2", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\frac{x}{4}=\\frac{1}{2}{\\quad:\\quad}x=2$$", "input": "\\frac{x}{4}=\\frac{1}{2}", "steps": [ { "type": "interim", "title": "Multiply both sides by $$4$$", "input": "\\frac{x}{4}=\\frac{1}{2}", "result": "x=2", "steps": [ { "type": "step", "primary": "Multiply both sides by $$4$$", "result": "\\frac{4x}{4}=\\frac{1\\cdot\\:4}{2}" }, { "type": "interim", "title": "Simplify", "input": "\\frac{4x}{4}=\\frac{1\\cdot\\:4}{2}", "result": "x=2", "steps": [ { "type": "interim", "title": "Simplify $$\\frac{4x}{4}:{\\quad}x$$", "input": "\\frac{4x}{4}", "steps": [ { "type": "step", "primary": "Divide the numbers: $$\\frac{4}{4}=1$$", "result": "=x" } ], "meta": { "solvingClass": "Solver", "interimType": "Generic Simplify Specific 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7SCKEdUA/7cyMuosqsAC6py061ljBSPJeENOw2efoSWt2cZ6LAXMcKee6PSyjLEFrRSpN33oxZMojoqvYhvSJACLkpiVA7S8UT8ieezZKu6pGP78T+jbVOT+cMph/GMdP" } }, { "type": "interim", "title": "Simplify $$\\frac{1\\cdot\\:4}{2}:{\\quad}2$$", "input": "\\frac{1\\cdot\\:4}{2}", "steps": [ { "type": "step", "primary": "Multiply the numbers: $$1\\cdot\\:4=4$$", "result": "=\\frac{4}{2}" }, { "type": "step", "primary": "Divide the numbers: $$\\frac{4}{2}=2$$", "result": "=2" } ], "meta": { "solvingClass": "Solver", "interimType": "Generic Simplify Specific 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7CLfSHLR0CGVpdHoWBOzGCgfha7uJwsPTE0M5ka20xmerju+5Z51e/ZZSD3gRHwjBSLdINoPD2MyLmUXT+YnlMpjcBIL5pmo83UMFZRSzJsX2ZtRI1DM2w8NfReVgoYl74r/6t4IGCo7rqtJpyhrZXg==" } }, { "type": "step", "result": "x=2" } ], "meta": { "interimType": "Generic Simplify 0Eq" } } ], "meta": { "interimType": "Multiply Both Sides Specific 1Eq", "gptData": "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" } } ], "meta": { "solvingClass": "Equations", "practiceLink": "/practice/linear-equations-practice", "practiceTopic": "Linear Equations" } }, "plot_output": { "meta": { "plotInfo": { "variable": "x", "plotRequest": "\\frac{x}{4}=\\frac{1}{2}" }, "showViewLarger": true } }, "meta": { "showVerify": true } }