longdivision (0.3)/(0.5)

{ "query": { "display": "long division $$\\frac{0.3}{0.5}$$", "symbolab_question": "PRE_ALGEBRA#longdivision \\frac{0.3}{0.5}" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Decimals", "subTopic": "Long Division", "default": "0.6", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "Long Division $$\\frac{0.3}{0.5}:{\\quad}0.6$$", "input": "\\frac{0.3}{0.5}", "steps": [ { "type": "step", "primary": "Multiply the numerator and denominator by: $$10$$", "result": "\\frac{3}{5}" }, { "type": "interim", "title": "Divide $$3\\:$$by $$5\\:$$to get $$0$$", "input": "\\:", "result": "\\begin{array}{l}\\:\\:\\:\\:0.\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\5\\overline{|\\kern0.1em3.0}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\underline{0}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:30\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}", "steps": [ { "type": "step", "primary": "Divide $$3\\:$$by $$5\\:$$to get $$0$$", "result": "\\begin{array}{l}\\:\\:\\:\\:0\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\5\\overline{|\\kern0.1em3}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Multiply the quotient digit $$\\left(0\\right)\\:$$by the divisor $$5$$", "result": "\\begin{array}{l}\\:\\:\\:\\:0\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\5\\overline{|\\kern0.1em3}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\underline{0}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Subtract $$0\\:$$from $$3$$", "result": "\\begin{array}{l}\\:\\:\\:\\:0\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\5\\overline{|\\kern0.1em3}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\underline{0}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:3\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Add a decimal place and a zero to the dividend", "secondary": [ "Bring down the zero from the dividend" ], "result": "\\begin{array}{l}\\:\\:\\:\\:0.\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\5\\overline{|\\kern0.1em3.0}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\underline{0}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:30\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" } ], "meta": { "interimType": "Long Division Divide 3Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjAuRbUqF0v2PpVuPGQH4dLbLeu+MH3/4O31zRKyMpNuXtAM4L+5fXXw9GSOcy6r171nS37stqJ9UA5ZUYQx6VYBzP7ovb9THepx85Rpn8irs7nxrODmx8dzZSf6H8RiCJYJcsVfX4Rmu5Rvd+rH8nlXo7lPw9N3G2C1HSvsokLblI4V7GaPzKCvkEVvnnf/0yo=" } }, { "type": "interim", "title": "Divide $$30\\:$$by $$5\\:$$to get $$6$$", "input": "\\:", "result": "\\begin{array}{l}\\:\\:\\:\\:0.6\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\5\\overline{|\\kern0.1em3.0}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\underline{0}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:30\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\underline{30}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:0\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}", "steps": [ { "type": "step", "primary": "Divide $$30\\:$$by $$5\\:$$to get $$6$$", "result": "\\begin{array}{l}\\:\\:\\:\\:0.6\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\5\\overline{|\\kern0.1em3.0}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\underline{0}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:30\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Multiply the quotient digit $$\\left(6\\right)\\:$$by the divisor $$5$$", "result": "\\begin{array}{l}\\:\\:\\:\\:0.6\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\5\\overline{|\\kern0.1em3.0}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\underline{0}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:30\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\underline{30}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" }, { "type": "step", "primary": "Subtract $$30\\:$$from $$30$$", "result": "\\begin{array}{l}\\:\\:\\:\\:0.6\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\5\\overline{|\\kern0.1em3.0}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\underline{0}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:30\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\underline{30}\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\\\\\:\\:\\:\\:\\:\\:0\\:\\:\\:\\:\\:\\:\\:\\:\\:\\:\\end{array}" } ], "meta": { "interimType": "Long Division Divide 3Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjAuRbUqF0v2PpVuPGQH4dLbLeu+MH3/4O31zRKyMpNuXtAM4L+5fXXw9GSOcy6r171HuZEqMQNccyK/u6enCl8FenFpOMT1+ogKCuR3o6JGU5EQlrQ67quu86RDujFLtS6AGtqmoKo6OCem04M1ikDzmAN6jM2iQD4FjCSqUHgsiBuz1h9EeeslqEFkUZpNfj4=" } }, { "type": "step", "primary": "The solution for Long Division of $$\\frac{0.3}{0.5}\\:$$is $$0.6$$", "result": "0.6" } ], "meta": { "solvingClass": "StepsLongDivisionDecimals" } }, "meta": { "showVerify": true } }