Question

Simplify {(3 * 2.333 + 2)/3} / (1/10 of 100 + 4.8181).

Answer 1

={(3*2.333+2)/3}/1/10*100+4.8181
=(6.999+2)/(10+4.8181)*3
=8.999/14.8181*3
=8.999/44.4543
=89990000/444543000
=89990/444543
=2.02

Answer 2

Answer:

$\frac{\frac{(3\times 2.33...)}{3}}{\frac{1}{10}\:of\:100+4.8181...)}=\frac{77}{163}$

Step-by-step explanation:

Note: It may be like this {(3×2.333..+2)/3}/(1/10 of 100+4.8181...)

$Let \:x = 2.33</p><p>...----(1)$

/* multiply equation (1) by 10, we get

=> 10x = 23.333....---(2)

subtract equation (1) from (2) , we get

$\implies 9x = 21$

$\implies x = \frac{21}{3}$

$\implies x = 7---(3)$

$And \\Let \: y = 4.8181..--(4)$

/* multiply equation (4) by 100, we get

$100y = 481.8181..---(5)$

/* Subtract equation (4) from (5) , we get

$\implies 99y = 477$

$\implies y =\frac{477}{99}$

$\implies y = \frac{53}{11}--(6)$

$Now, \\\frac{\frac{(3\times 2.33...)}{3}}{\frac{1}{10}\:of\:100+4.8181...)}$

$=\frac{\frac{3\times 7}{3}}{\frac{1}{10}\times 100+\frac{53}{11}}$

$=\frac{7}{10+\frac{53}{11}}$

$=\frac{7}{\frac{110+53}{11}}$

$=7 \times \frac{11}{163}\\=\frac{77}{163}$

Therefore,

$\frac{\frac{(3\times 2.33...)}{3}}{\frac{1}{10}\:of\:100+4.8181...)}=\frac{77}{163}$

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