{ "query": { "display": "$$21\\div\\:3+7-5+\\left(45\\div\\:5\\right)+9$$", "symbolab_question": "PEMDAS#21\\div 3+7-5+(45\\div 5)+9" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "27", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$21\\div\\:3+7-5+\\left(45\\div\\:5\\right)+9=27$$", "input": "21\\div\\:3+7-5+\\left(45\\div\\:5\\right)+9", "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": "interim", "title": "Calculate within parentheses $$\\left(45\\div\\:5\\right)\\::{\\quad}9$$", "input": "45\\div\\:5", "steps": [ { "type": "step", "primary": "$$45\\div\\:5=9$$", "result": "=9" } ], "meta": { "interimType": "Pemdas Parentheses Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7PCZD5WeCykFHVUFQ89SuO+bjFwgh/Xyt5C4lb4Aj1dy/HO1nr20Sgpp2uFT6oysv6QJYXY+4F/xCDHAC9bpcIcHEgh0m9FShG2MFoySYlGri3tqMkRaC3wB3QxhoH5dVDECiUeOVDuZGfazHVHVioWRLd2VwIqlBNByF6663syQZMez7am3fnLExOzZWWF4iun/1OTCDBTVV7E774pTDOdn9XnyjpLMj3j4Gy/obVn1vF4beSc75298eU8ZAo3NX" } }, { "type": "step", "result": "=21\\div\\:3+7-5+9+9" }, { "type": "interim", "title": "Multiply and divide (left to right) $$21\\div\\:3\\::{\\quad}7$$", "input": "21\\div\\:3", "steps": [ { "type": "step", "primary": "$$21\\div\\:3=7$$", "result": "=7" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7PCZD5WeCykFHVUFQ89SuO6kIt1SFg+vFUXFLySylYy9kNJt7b7Bzjx8vSh/hjW01dpQSEBOqwRNiAczc+hZ4y6LQm4u9wDGvvcmqZ4fMYnlOvdRQ8eFufBA9XY2bsR8SG1AiRXBLOV3wzVdRKPM1N/C30sSftAIFS6Qkpy19IkqZYY9oS23eK9kho9PePsCLXhbADX2gvyKfNKNkOFNCSxaqJfsL/VhcGsmp2caWN4Cx9sbN8RO8g/PEkiwQpDFM" } }, { "type": "step", "result": "=7+7-5+9+9" }, { "type": "interim", "title": "Add and subtract (left to right) $$7+7-5+9+9\\::{\\quad}27$$", "input": "7+7-5+9+9", "steps": [ { "type": "step", "primary": "$$7+7=14$$", "result": "=14-5+9+9" }, { "type": "step", "primary": "$$14-5=9$$", "result": "=9+9+9" }, { "type": "step", "primary": "$$9+9=18$$", "result": "=18+9" }, { "type": "step", "primary": "$$18+9=27$$", "result": "=27" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=27" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }