Question

how is the multiplicative inverse of 22/7=7/22

Answer 1

Answer:

because inverse means reverse so reverse of 22/7 is 7/22

Answer 2

$\underline {\pink{ Existence \:of \: multiplicative \: inverse : }}$

$Every \: non \:zero \: rational\: number\:\frac{a}{b}$

$has \: multiplicative \:inverse \:\frac{b}{a} .$

$\boxed{ \blue{ \frac{a}{b} \times \frac{b}{a} = \frac{b}{a} \times \frac{a}{b} = 1 }}$

$Here, multiplicative \:inverse \:of \:\frac{22}{7}$

$is \:\green{ \frac{7}{22} .}$

$i.e., \frac{22}{7} \times\green { \frac{7}{22}} = 1$

Therefore.,

$\green { \frac{7}{22}\: is \: multiplicative \:inverse \:of \:\frac{22}{7}}$

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