আজ স্কুলবাড়ির জানালায় সবুজ রং দিই - সমাধান

$23/5 = 4 + (3/5)$ [ $23$-এর মধ্যে $5$ চারবার আছে ]

$17/4 = 4 + (1/4)$ [ $17$-এর মধ্যে $4$ চারবার আছে ]

(ক) $21/4$

উত্তরঃ

মিশ্র ভগ্নাংশ

= $21/4$

= $5 + (1/4)$

(খ) $27/5$

উত্তরঃ

মিশ্র ভগ্নাংশ

= $27/5$

= $5 + (2/5)$

(গ) $38/5$

উত্তরঃ

মিশ্র ভগ্নাংশ

= $38/5$

= $7 + (3/5)$

(ঘ) $54/7$

উত্তরঃ

মিশ্র ভগ্নাংশ

= $54/7$

= $7 + (5/7)$

(ঙ) $51/8$

উত্তরঃ

মিশ্র ভগ্নাংশ

= $51/8$

= $6 + (3/8)$

$2 + (4/7)$

= $(2 \times 7 + 4)/7$

= $(14 + 4)/7$

= $18/7$

$6 + (1/2)$

= $(6 \times 2 + 1)/2$

= $(12 + 1)/2$

= $13/2$

$8 + (2/5)$

= $(8 \times 5 + 2)/5$

= $(40 + 2)/5$

= $42/5$

(ক) $3 + (5/7)$

= $(3 \times 7 + 5)/7$

= $(21 + 5)/7$

= $26/7$

(খ) $12 + (2/3)$

= $(12 \times 3 + 2)/3$

= $(36 + 2)/3$

= $38/3$

(গ) $33 + (1/2)$

= $(33 \times 2 + 1)/2$

= $(66 + 1)/2$

= $67/2$

(ঘ) $3 + (1/33)$

= $(3 \times 33 + 1)/33$

= $(99 + 1)/33$

= $100/33$

(ঙ) $6 + (5/3)$

= $(6 \times 3 + 5)/3$

= $(18 + 5)/3$

= $23/3$

(চ) $3 + (5/6)$

= $(3 \times 6 + 5)/6$

= $(18 + 5)/6$

= $23/6$

(ছ) $4 + (7/12)$

= $(4 \times 12 + 7)/12$

= $(48 + 7)/12$

= $55/12$

(জ) $10 + (5/8)$

= $(10 \times 8 + 5)/8$

= $(80 + 5)/8$

= $85/8$

(ঝ) $15 + (3/8)$

= $(15 \times 8 + 3)/8$

= $(120 + 3)/8$

= $123/8$

(ক) $12/5 + 10/3$

= $(12 \times 3 + 10 \times 5)/15$

= $(36 + 50)/15$

= $86/15$

(খ) $\{2 + (4/7)\} + \{4 + (3/4)\}$

= $18/7 + 19/4$

= $(18 \times 4 + 19 \times 7)/28$

= $(72 + 133)/28$

= $205/28$

(গ) $20/3 + 25/2 + 7/6$

= $(20 \times 2 + 25 \times 3 + 7 \times 1)/6$

= $(40 + 75 + 7)/6$

= $121/6$

(ঘ) $21/7 + 12/5 + 16/15$

= $(21 \times 15 + 12 \times 21 + 16 \times 7)/105$

= $(315 + 252 + 112)/105$

= $679/105$

(ঙ) $\{2 + (1/5)\} + \{1 + (4/15)\} + \{1 + (1/20)\}$

= $11/5 + 19/15 + 21/20$

= $(11 \times 12 + 19 \times 4 + 21 \times 3)/60$

= $(132 + 76 + 63)/60$

= $271/60$

পড়ে থাকবে, $\{12 + (2/3)\}$ মিটার – $\{2 + (5/11)\}$ মিটার

= $\{(38/3) – (27/11)\}$ মিটার

= $(38 \times 11 – 27 \times 3)/33$ মিটার

= $(418 – 81)/33$ মিটার

= $337/33$ মিটার = $10 + (7/33)$ মিটার

(ক) $\{3 + (2/15)\} – \{2 + (5/6)\}$

= $47/15 – 17/6$

= $(47 \times 2 – 17 \times 5)/30$

= $(94 – 85)/30$

= $9/30 = 3/10$

(খ) $8 – \{1 + (7/12)\}$

= $8 – (19/12)$

= $(8 \times 12 – 19)/12$

= $77/12$

= $6 + (5/12)$