// Numbas version: exam_results_page_options {"name": "Multiply two fractions (some negative numbers)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"parts": [{"prompt": "
This question tests a student's ability to multiply two fractions. Some of the numerators or denominators will be negative.
", "licence": "Creative Commons Attribution 4.0 International"}, "preamble": {"js": "document.createElement('fraction');\ndocument.createElement('numerator');\ndocument.createElement('denominator');", "css": "fraction {\n display: inline-block;\n vertical-align: middle;\n}\nfraction > numerator, fraction > denominator {\n float: left;\n width: 100%;\n text-align: center;\n line-height: 2.5em;\n}\nfraction > numerator {\n border-bottom: 1px solid;\n padding-bottom: 5px;\n}\nfraction > denominator {\n padding-top: 5px;\n}\nfraction input {\n line-height: 1em;\n}\n\nfraction .part {\n margin: 0;\n}\n\n.table-responsive, .fractiontable {\n display:inline-block;\n}\n.fractiontable {\n padding: 0; \n border: 0;\n}\n\n.fractiontable .tddenom \n{\n text-align: center;\n}\n\n.fractiontable .tdnum \n{\n border-bottom: 1px solid black; \n text-align: center;\n}\n\n\n.fractiontable tr {\n height: 3em;\n}\n"}, "variables": {"c": {"templateType": "anything", "name": "c", "group": "Ungrouped variables", "definition": "random(-99..99 except -1..1)", "description": "Numerator of the second fraction.
"}, "d": {"templateType": "anything", "name": "d", "group": "Ungrouped variables", "definition": "random(2..99)", "description": "Denominator of the second fraction.
"}, "b": {"templateType": "anything", "name": "b", "group": "Ungrouped variables", "definition": "random(2..99)", "description": "Denomnator of the first fraction.
"}, "a": {"templateType": "anything", "name": "a", "group": "Ungrouped variables", "definition": "random(-99..99 except -1..1)", "description": "Numerator of the first fraction.
"}}, "statement": "Multiply the following fractions using the formula $\\dfrac{a}{b}\\times\\dfrac{c}{d}=\\frac{\\boxed{a}\\times \\boxed{c}}{\\boxed{b}\\times \\boxed{d}}=\\frac{\\boxed{a\\times c}}{\\boxed{b\\times d}}$.
\nAn example of a correct calculation would be $\\dfrac{2}{3}\\times\\dfrac{-4}{5}=\\frac{\\boxed{2}\\times\\boxed{-4}}{\\boxed{3}\\times\\boxed{5}}=\\frac{\\boxed{-8}}{\\boxed{15}}$.
\nNote the final fraction should be left as it is and should not be entered in lowest form (if this is different).
", "advice": "The correct calculation is $\\dfrac{\\var{a}}{\\var{b}}\\times\\dfrac{\\var{c}}{\\var{d}}=\\frac{\\boxed{\\var{a}}\\times\\boxed{\\var{c}}}{\\boxed{\\var{b}}\\times\\boxed{\\var{d}}}=\\frac{\\boxed{\\var{a*c}}}{\\boxed{\\var{b*d}}}$.
", "type": "question", "contributors": [{"name": "Anthony Brown", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/799/"}]}]}], "contributors": [{"name": "Anthony Brown", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/799/"}]}