// Numbas version: finer_feedback_settings {"name": "Arithmetic of Fractions 3", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Arithmetic of Fractions 3", "tags": [], "metadata": {"description": "

Multlipying and subtracting mixed numbers. It is expected that a calculator is used to perform this question.

", "licence": "None specified"}, "statement": "

Calculate the following, giving your answer to two decimal places:

", "advice": "

Firstly convert mixed numbers to improper fractions, for example:

$a\\frac{b}{c}=\\frac{(a\\times c)+b}{c}$

So,

$\\var{x}\\simplify{{a}/{b}}$ = $\\simplify{{n1}/{b}}$

$\\var{y}\\simplify{{c}/{d}}$ = $\\simplify{{n2}/{d}}$

$\\var{z}\\simplify{{f}/{g}}$ = $\\simplify{{n3}/{g}}$

And, the question becomes:

$\\simplify{{n1}/{b}} \\times \\simplify{{n2}/{d}} - \\simplify{{n3}/{g}}$

Consider Order of Operations, multiplication is performed before addition or subtraction.

$\\simplify{({n1}*{n2})/({b}*{d})} - \\simplify{{n3}/{g}}$

Lastly, the fractions are subtracted and the answer expressed to two decimal places

$\\var{ans_r}$

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$\\var{x}\\simplify{{a}/{b}} \\times \\var{y}\\simplify{{c}/{d}} - \\var{z}\\simplify{{f}/{g}}$

[[0]]

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