Sasi Math (Revised for 1024)

Scroll:Real number system >> Rational number >> saq (4414)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

List five rational numbers between $\frac{3}{6}$ and $\frac{6}{7.}$

Answer:_______________

List five rational numbers between $\frac{3}{10}$ and $\frac{10}{4.}$

Answer:_______________

List five rational numbers between $\frac{3}{9}$ and $\frac{7}{2.}$

Answer:_______________

List five rational numbers between $\frac{2}{9}$ and $\frac{8}{4.}$

Answer:_______________

List five rational numbers between $\frac{4}{8}$ and $\frac{6}{4.}$

Answer:_______________

List five rational numbers between $\frac{3}{10}$ and $\frac{7}{4.}$

Answer:_______________

List five rational numbers between $\frac{4}{6}$ and $\frac{8}{4.}$

Answer:_______________

List five rational numbers between $\frac{4}{10}$ and $\frac{9}{4.}$

Answer:_______________

List five rational numbers between $\frac{3}{6}$ and $\frac{5}{7.}$

Answer:_______________

10)

List five rational numbers between $\frac{3}{5}$ and $\frac{10}{3.}$

Answer:_______________

List five rational numbers between $\frac{3}{6}$ and $\frac{6}{7.}$

Answer: $\frac{22}{42}$ , $\frac{23}{42}$ , $\frac{24}{42}$ , $\frac{25}{42}$ , $\frac{26}{42}$

SOLUTION 1 :

Soln :

Let us first written the given rational numbers with the same denominators.

Now , $\frac{3}{6}$ = $\frac{3}{6}$ x $\frac{7}{7}$ = $\frac{21}{42}$

and. $\frac{6}{7}$ = $\frac{6}{7}$ x $\frac{6}{6}$ = $\frac{36}{42}$

$\frac{22}{42}$ , $\frac{23}{42}$ , $\frac{24}{42}$ , $\frac{25}{42}$ , $\frac{26}{42}$ are the five required rational numbers.

List five rational numbers between $\frac{3}{10}$ and $\frac{10}{4.}$

Answer: $\frac{13}{40}$ , $\frac{14}{40}$ , $\frac{15}{40}$ , $\frac{16}{40}$ , $\frac{17}{40}$

SOLUTION 1 :

Soln :

Let us first written the given rational numbers with the same denominators.

Now , $\frac{3}{10}$ = $\frac{3}{10}$ x $\frac{4}{4}$ = $\frac{12}{40}$

and. $\frac{10}{4}$ = $\frac{10}{4}$ x $\frac{10}{10}$ = $\frac{100}{40}$

$\frac{13}{40}$ , $\frac{14}{40}$ , $\frac{15}{40}$ , $\frac{16}{40}$ , $\frac{17}{40}$ are the five required rational numbers.

List five rational numbers between $\frac{3}{9}$ and $\frac{7}{2.}$

Answer: $\frac{7}{18}$ , $\frac{8}{18}$ , $\frac{9}{18}$ , $\frac{10}{18}$ , $\frac{11}{18}$

SOLUTION 1 :

Soln :

Let us first written the given rational numbers with the same denominators.

Now , $\frac{3}{9}$ = $\frac{3}{9}$ x $\frac{2}{2}$ = $\frac{6}{18}$

and. $\frac{7}{2}$ = $\frac{7}{2}$ x $\frac{9}{9}$ = $\frac{63}{18}$

$\frac{7}{18}$ , $\frac{8}{18}$ , $\frac{9}{18}$ , $\frac{10}{18}$ , $\frac{11}{18}$ are the five required rational numbers.

List five rational numbers between $\frac{2}{9}$ and $\frac{8}{4.}$

Answer: $\frac{9}{36}$ , $\frac{10}{36}$ , $\frac{11}{36}$ , $\frac{12}{36}$ , $\frac{13}{36}$

SOLUTION 1 :

Soln :

Let us first written the given rational numbers with the same denominators.

Now , $\frac{2}{9}$ = $\frac{2}{9}$ x $\frac{4}{4}$ = $\frac{8}{36}$

and. $\frac{8}{4}$ = $\frac{8}{4}$ x $\frac{9}{9}$ = $\frac{72}{36}$

$\frac{9}{36}$ , $\frac{10}{36}$ , $\frac{11}{36}$ , $\frac{12}{36}$ , $\frac{13}{36}$ are the five required rational numbers.

List five rational numbers between $\frac{4}{8}$ and $\frac{6}{4.}$

Answer: $\frac{17}{32}$ , $\frac{18}{32}$ , $\frac{19}{32}$ , $\frac{20}{32}$ , $\frac{21}{32}$

SOLUTION 1 :

Soln :

Let us first written the given rational numbers with the same denominators.

Now , $\frac{4}{8}$ = $\frac{4}{8}$ x $\frac{4}{4}$ = $\frac{16}{32}$

and. $\frac{6}{4}$ = $\frac{6}{4}$ x $\frac{8}{8}$ = $\frac{48}{32}$

$\frac{17}{32}$ , $\frac{18}{32}$ , $\frac{19}{32}$ , $\frac{20}{32}$ , $\frac{21}{32}$ are the five required rational numbers.

List five rational numbers between $\frac{3}{10}$ and $\frac{7}{4.}$

Answer: $\frac{13}{40}$ , $\frac{14}{40}$ , $\frac{15}{40}$ , $\frac{16}{40}$ , $\frac{17}{40}$

SOLUTION 1 :

Soln :

Let us first written the given rational numbers with the same denominators.

Now , $\frac{3}{10}$ = $\frac{3}{10}$ x $\frac{4}{4}$ = $\frac{12}{40}$

and. $\frac{7}{4}$ = $\frac{7}{4}$ x $\frac{10}{10}$ = $\frac{70}{40}$

$\frac{13}{40}$ , $\frac{14}{40}$ , $\frac{15}{40}$ , $\frac{16}{40}$ , $\frac{17}{40}$ are the five required rational numbers.

List five rational numbers between $\frac{4}{6}$ and $\frac{8}{4.}$

Answer: $\frac{17}{24}$ , $\frac{18}{24}$ , $\frac{19}{24}$ , $\frac{20}{24}$ , $\frac{21}{24}$

SOLUTION 1 :

Soln :

Let us first written the given rational numbers with the same denominators.

Now , $\frac{4}{6}$ = $\frac{4}{6}$ x $\frac{4}{4}$ = $\frac{16}{24}$

and. $\frac{8}{4}$ = $\frac{8}{4}$ x $\frac{6}{6}$ = $\frac{48}{24}$

$\frac{17}{24}$ , $\frac{18}{24}$ , $\frac{19}{24}$ , $\frac{20}{24}$ , $\frac{21}{24}$ are the five required rational numbers.

List five rational numbers between $\frac{4}{10}$ and $\frac{9}{4.}$

Answer: $\frac{17}{40}$ , $\frac{18}{40}$ , $\frac{19}{40}$ , $\frac{20}{40}$ , $\frac{21}{40}$

SOLUTION 1 :

Soln :

Let us first written the given rational numbers with the same denominators.

Now , $\frac{4}{10}$ = $\frac{4}{10}$ x $\frac{4}{4}$ = $\frac{16}{40}$

and. $\frac{9}{4}$ = $\frac{9}{4}$ x $\frac{10}{10}$ = $\frac{90}{40}$

$\frac{17}{40}$ , $\frac{18}{40}$ , $\frac{19}{40}$ , $\frac{20}{40}$ , $\frac{21}{40}$ are the five required rational numbers.

List five rational numbers between $\frac{3}{6}$ and $\frac{5}{7.}$

Answer: $\frac{22}{42}$ , $\frac{23}{42}$ , $\frac{24}{42}$ , $\frac{25}{42}$ , $\frac{26}{42}$

SOLUTION 1 :

Soln :

Let us first written the given rational numbers with the same denominators.

Now , $\frac{3}{6}$ = $\frac{3}{6}$ x $\frac{7}{7}$ = $\frac{21}{42}$

and. $\frac{5}{7}$ = $\frac{5}{7}$ x $\frac{6}{6}$ = $\frac{30}{42}$

$\frac{22}{42}$ , $\frac{23}{42}$ , $\frac{24}{42}$ , $\frac{25}{42}$ , $\frac{26}{42}$ are the five required rational numbers.

10)

List five rational numbers between $\frac{3}{5}$ and $\frac{10}{3.}$

Answer: $\frac{10}{15}$ , $\frac{11}{15}$ , $\frac{12}{15}$ , $\frac{13}{15}$ , $\frac{14}{15}$

SOLUTION 1 :

Soln :

Let us first written the given rational numbers with the same denominators.

Now , $\frac{3}{5}$ = $\frac{3}{5}$ x $\frac{3}{3}$ = $\frac{9}{15}$

and. $\frac{10}{3}$ = $\frac{10}{3}$ x $\frac{5}{5}$ = $\frac{50}{15}$

$\frac{10}{15}$ , $\frac{11}{15}$ , $\frac{12}{15}$ , $\frac{13}{15}$ , $\frac{14}{15}$ are the five required rational numbers.