How do you simplify $5 \frac{1}{4} \div 2 \frac{1}{3}$ $5 1/4 div 2 1/3$ ?

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Answer 1 · 2016-07-04T21:29:42

You first rewrite both terms into proper fractions:

$= \frac{21}{4} \div \frac{7}{3}$ $=21/4div7/3$

Then, because division is multiplying by the inverse, you write:
$= \frac{21}{4} \times \frac{3}{7}$ $=21/4xx3/7$

Since $21 = 3 \times 7$ $21=3xx7$ :
$=(3xxcancel7)/4xx3/cancel7$
$=(3xx3)/4=9/4=2 1/4$

How do you simplify 5 1/4 div 2 1/3514÷2135 1/4 div 2 1/3?