What will be the reciprocal of 4/9 × 45/36

Mathematics

2 answers:

Arisa [49]3 years ago

4 0

(4/9)×(45/36) = (4/9)×(5/4) = 5/9
Reciprocal of 5/9 is 9/5

fenix001 [56]3 years ago

3 0

Answer:

$\frac{9}{5}$

Step-by-step explanation:

$\frac{4}{9}$ × $\frac{45}{36}$

= $\frac{4}{9}$ × $\frac{5}{4}$ ( cancel 4 on numerator/ denominator )

$\frac{5}{9}$

Given a number n then its reciprocal is $\frac{1}{n}$

Then the reciprocal of $\frac{5}{9}$ is

$\frac{1}{\frac{5}{9} }$ = $\frac{9}{5}$

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