Question

From a rope of 40 m 50 cm, pieces of equal size is cut.If each piece is 2 m 1/4 cm long, find the number of pieces cut off?​

Answer 1

$\huge\fbox\pink{✯Answer✯}$

$\huge\boxed{\fcolorbox{purple}{ink}{GIVEN:}}$

• Length of the rope=40m ,50cm

$= 40m ,50cm \times \frac{1}{100}$

$1m = 100 \: and \: 1cm = \frac{1}{100} m$

$= 40 + \frac{50}{100} m$

$= \frac{400 + 5}{10} = \frac{405}{10}$

Length of pieces of rope to be made

$=2 \frac{1}{4} = \frac{9}{4} m$

Number of pieces

$\frac{ \frac{405}{10} }{ \frac{9}{4} }$

$= \frac{405}{10} \times \frac{4}{9}$

$\frac{405 \times 4}{10 \times 9}$

$= \frac{45 \times 2}{5} = 9 \times 2 = 18 \: pieces$

${∴18  \: pieces \: of \: rope \: can \: be \: made \: of \: length}$

$= 2 \frac{1}{4} m \: each$

$\huge\boxed{\dag\sf\red{Thanks}\dag}$

Answer 2

Answer:

$Length of pieces of rope to be made</p><p></p><p>=2 \frac{1}{4} = \frac{9}{4} m=241=49m</p><p></p><p>Number of pieces</p><p></p><p>\frac{ \frac{405}{10} }{ \frac{9}{4} }4910405</p><p></p><p>= \frac{405}{10} \times \frac{4}{9}=10405×94</p><p></p><p>\frac{405 \times 4}{10 \times 9}10×9405×4</p><p></p><p>= \frac{45 \times 2}{5} = 9 \times 2 = 18 \: pieces=545×2=9×2=18pieces</p><p></p><p>{∴18  \: pieces \: of \: rope \: can \: be \: made \: of \: length}∴18 piecesofropecanbemadeoflength</p><p></p><p>= 2 \frac{1}{4} m \: each=241meach</p><p></p><p>$