7\div 12\div 3\div 4

{ "query": { "display": "$$7\\div\\:12\\div\\:3\\div\\:4$$", "symbolab_question": "PEMDAS#7\\div 12\\div 3\\div 4" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "\\frac{7}{144}", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$7\\div\\:12\\div\\:3\\div\\:4=\\frac{7}{144}$$", "input": "7\\div\\:12\\div\\:3\\div\\:4", "steps": [ { "type": "step", "primary": "Follow the PEMDAS order of operations", "meta": { "title": { "extension": "P-Parentheses<br/>E-Exponents<br/>M-Multiply<br/>D-Divide<br/>A-Add<br/>S-Subtract" } } }, { "type": "step", "primary": "Multiply and divide (left to right) " }, { "type": "step", "primary": "$$7\\div\\:12=\\frac{7}{12}$$", "result": "=\\frac{7}{12}\\div\\:3\\div\\:4" }, { "type": "interim", "title": "$$\\frac{7}{12}\\div\\:3=\\frac{7}{36}$$", "input": "\\frac{7}{12}\\div\\:3", "steps": [ { "type": "step", "primary": "Convert element to fraction: $$3=\\frac{3}{1}$$", "result": "=\\frac{7}{12}\\div\\:\\frac{3}{1}" }, { "type": "step", "primary": "Apply the fraction rule: $$\\frac{a}{b}\\div\\frac{c}{d}=\\frac{a}{b}\\times\\frac{d}{c}$$", "result": "=\\frac{7}{12}\\cdot\\:\\frac{1}{3}" }, { "type": "step", "primary": "Multiply fractions: $$\\frac{a}{b}\\cdot\\frac{c}{d}=\\frac{a\\:\\cdot\\:c}{b\\:\\cdot\\:d}$$", "result": "=\\frac{7\\cdot\\:1}{12\\cdot\\:3}" }, { "type": "step", "primary": "Multiply the numbers: $$7\\cdot\\:1=7$$", "result": "=\\frac{7}{12\\cdot\\:3}" }, { "type": "step", "primary": "Multiply the numbers: $$12\\cdot\\:3=36$$", "result": "=\\frac{7}{36}" } ], "meta": { "solvingClass": "StepsDiv", "interimType": "StepsDiv" } }, { "type": "step", "result": "=\\frac{7}{36}\\div\\:4" }, { "type": "interim", "title": "$$\\frac{7}{36}\\div\\:4=\\frac{7}{144}$$", "input": "\\frac{7}{36}\\div\\:4", "steps": [ { "type": "step", "primary": "Convert element to fraction: $$4=\\frac{4}{1}$$", "result": "=\\frac{7}{36}\\div\\:\\frac{4}{1}" }, { "type": "step", "primary": "Apply the fraction rule: $$\\frac{a}{b}\\div\\frac{c}{d}=\\frac{a}{b}\\times\\frac{d}{c}$$", "result": "=\\frac{7}{36}\\cdot\\:\\frac{1}{4}" }, { "type": "step", "primary": "Multiply fractions: $$\\frac{a}{b}\\cdot\\frac{c}{d}=\\frac{a\\:\\cdot\\:c}{b\\:\\cdot\\:d}$$", "result": "=\\frac{7\\cdot\\:1}{36\\cdot\\:4}" }, { "type": "step", "primary": "Multiply the numbers: $$7\\cdot\\:1=7$$", "result": "=\\frac{7}{36\\cdot\\:4}" }, { "type": "step", "primary": "Multiply the numbers: $$36\\cdot\\:4=144$$", "result": "=\\frac{7}{144}" } ], "meta": { "solvingClass": "StepsDiv", "interimType": "StepsDiv" } }, { "type": "step", "result": "=\\frac{7}{144}" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }