Question

Tick (✓) the correct option.
$question. \: \frac{1}{6} + ( \frac{55}{14} - \frac{1}{2} ) \: is \: the \: reciprocal \: of$
$option \: a. \: 3\frac{28}{42}$
$option \: b. \: 4 \frac{29}{151}$
$option \: c. \: \frac{42}{150}$
$option \: d. \: 3 \frac{25}{42}$
Please show step explanation​

Answer 1

Answer:

$1/6+[55/14-1/2]$

Step-by-step explanation:

$1+6/55*2-14*1/14*2]$

$1/6+[110-14/28]$

$1/6+96/28$

By cross multiplication,

$96*6+28*1/28*6=604/168=3.595238095238095$

as it is a reciprocal of options lets first check option a

a.$42*3+28/42=126+28/42=154/42=3.67$ (approx.)

b.$151*4+29/151=604+29/151=633/151=4.19205298013245$

c.$42/150=0.28(exact)$

d$42*3+25/42=151/42=3.595238095238095$.

so it is optionD,

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Answer 2

Answer:

Step-by-step explanation:

1+6/55*2-14*1/14*2]1+6/55∗2−14∗1/14∗2]

1/6+[110-14/28]1/6+[110−14/28]

1/6+96/281/6+96/28

By cross multiplication,

96*6+28*1/28*6=604/168=3.59523809523809596∗6+28∗1/28∗6=604/168=3.595238095238095

as it is a reciprocal of options lets first check option a

a.42*3+28/42=126+28/42=154/42=3.6742∗3+28/42=126+28/42=154/42=3.67 (approx.)

b.151*4+29/151=604+29/151=633/151=4.19205298013245151∗4+29/151=604+29/151=633/151=4.19205298013245

c.42/150=0.28(exact)42/150=0.28(exact)

d42*3+25/42=151/42=3.59523809523809542∗3+25/42=151/42=3.595238095238095 .

so it is optionD,

Please mark me the brainliest