simplify-2/3 (4)

{ "query": { "display": "simplify $$-\\frac{2}{3}\\left(4\\right)$$", "symbolab_question": "SIMPLIFY#simplify -\\frac{2}{3}(4)" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "-\\frac{8}{3}", "decimal": "-2.66666…", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$-\\frac{2}{3}\\left(4\\right)=-\\frac{8}{3}$$", "input": "-\\frac{2}{3}\\left(4\\right)", "steps": [ { "type": "step", "primary": "Apply rule: $$\\left(a\\right)=a$$", "secondary": [ "$$\\left(4\\right)=4$$" ], "result": "=-\\frac{2}{3}\\cdot\\:4" }, { "type": "interim", "title": "$$-\\frac{2}{3}\\cdot\\:4=-\\frac{8}{3}$$", "input": "-\\frac{2}{3}\\cdot\\:4", "steps": [ { "type": "step", "primary": "Convert element to fraction: $$4=\\frac{4}{1}$$", "result": "=-\\frac{2}{3}\\cdot\\:\\frac{4}{1}" }, { "type": "step", "primary": "Apply the fraction rule: $$\\frac{a}{b}\\cdot\\:\\frac{c}{d}=\\frac{a\\:\\cdot\\:\\:c}{b\\:\\cdot\\:\\:d}$$", "secondary": [ "$$\\frac{2}{3}\\cdot\\:\\frac{4}{1}=\\frac{2\\cdot\\:4}{3\\cdot\\:1}$$" ], "result": "=-\\frac{2\\cdot\\:4}{3\\cdot\\:1}" }, { "type": "step", "primary": "Multiply the numbers: $$2\\cdot\\:4=8$$", "result": "=-\\frac{8}{3\\cdot\\:1}" }, { "type": "step", "primary": "Multiply the numbers: $$3\\cdot\\:1=3$$", "result": "=-\\frac{8}{3}" } ], "meta": { "solvingClass": "Solver2", "interimType": "Solver2", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7Fttm4q7S2mos9pC71Jn+QNCJQnWqrWtlg/QxLoY1NEsJQJZuTAY5js+oqjdT8kslR29adphO3O6onHv5A35LP/8//6/nV5O4fb8Xgwi7marI6IxQKE4RYEB00rYAOIjtN5K1Q4IlVT1BquZgdg1dO5XHEOoAtuxLo7UJ0uiKECg=" } }, { "type": "step", "result": "=-\\frac{8}{3}" } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }