Sasi Math (Revised for 1024)

Scroll:Real number system >> Rational number >> saq (4409)

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.

The sumof two rational numbers is $\frac{5}{4.}$ If one of the number is $\frac{2}{9}$ , find the other.

Answer:_______________

The sumof two rational numbers is $\frac{7}{6.}$ If one of the number is $\frac{3}{10}$ , find the other.

Answer:_______________

The sumof two rational numbers is $\frac{5}{3.}$ If one of the number is $\frac{6}{10}$ , find the other.

Answer:_______________

The sumof two rational numbers is $\frac{3}{3.}$ If one of the number is $\frac{8}{9}$ , find the other.

Answer:_______________

The sumof two rational numbers is $\frac{5}{2.}$ If one of the number is $\frac{3}{5}$ , find the other.

Answer:_______________

The sumof two rational numbers is $\frac{8}{5.}$ If one of the number is $\frac{8}{7}$ , find the other.

Answer:_______________

The sumof two rational numbers is $\frac{7}{2.}$ If one of the number is $\frac{6}{7}$ , find the other.

Answer:_______________

The sumof two rational numbers is $\frac{5}{2.}$ If one of the number is $\frac{4}{8}$ , find the other.

Answer:_______________

The sumof two rational numbers is $\frac{3}{4.}$ If one of the number is $\frac{2}{5}$ , find the other.

Answer:_______________

10)

The sumof two rational numbers is $\frac{1}{5.}$ If one of the number is $\frac{4}{7}$ , find the other.

Answer:_______________

The sumof two rational numbers is $\frac{5}{4.}$ If one of the number is $\frac{2}{9}$ , find the other.

Answer: $\frac{37}{36}$

SOLUTION 1 :

Given :

Sum of two rational numbers = $\frac{5}{4}$

Given number + Required number = $\frac{5}{4}$

$\frac{2}{9}$ + Required number = $\frac{5}{4}$

Required number = $\frac{5}{4}$ - $\frac{2}{9}$

= $\frac{(45-8)}{36}$

= $\frac{(37)}{(36)}$

= $\frac{37}{36}$

The sumof two rational numbers is $\frac{7}{6.}$ If one of the number is $\frac{3}{10}$ , find the other.

Answer: $\frac{13}{15}$

SOLUTION 1 :

Given :

Sum of two rational numbers = $\frac{7}{6}$

Given number + Required number = $\frac{7}{6}$

$\frac{3}{10}$ + Required number = $\frac{7}{6}$

Required number = $\frac{7}{6}$ - $\frac{3}{10}$

= $\frac{(70-18)}{60}$

= $\frac{(52)}{(60)}$

= $\frac{13}{15}$

The sumof two rational numbers is $\frac{5}{3.}$ If one of the number is $\frac{6}{10}$ , find the other.

Answer: $\frac{16}{15}$

SOLUTION 1 :

Given :

Sum of two rational numbers = $\frac{5}{3}$

Given number + Required number = $\frac{5}{3}$

$\frac{6}{10}$ + Required number = $\frac{5}{3}$

Required number = $\frac{5}{3}$ - $\frac{6}{10}$

= $\frac{(50-18)}{30}$

= $\frac{(32)}{(30)}$

= $\frac{16}{15}$

The sumof two rational numbers is $\frac{3}{3.}$ If one of the number is $\frac{8}{9}$ , find the other.

Answer: $\frac{1}{9}$

SOLUTION 1 :

Given :

Sum of two rational numbers = $\frac{3}{3}$

Given number + Required number = $\frac{3}{3}$

$\frac{8}{9}$ + Required number = $\frac{3}{3}$

Required number = $\frac{3}{3}$ - $\frac{8}{9}$

= $\frac{(27-24)}{27}$

= $\frac{(3)}{(27)}$

= $\frac{1}{9}$

The sumof two rational numbers is $\frac{5}{2.}$ If one of the number is $\frac{3}{5}$ , find the other.

Answer: $\frac{19}{10}$

SOLUTION 1 :

Given :

Sum of two rational numbers = $\frac{5}{2}$

Given number + Required number = $\frac{5}{2}$

$\frac{3}{5}$ + Required number = $\frac{5}{2}$

Required number = $\frac{5}{2}$ - $\frac{3}{5}$

= $\frac{(25-6)}{10}$

= $\frac{(19)}{(10)}$

= $\frac{19}{10}$

The sumof two rational numbers is $\frac{8}{5.}$ If one of the number is $\frac{8}{7}$ , find the other.

Answer: $\frac{16}{35}$

SOLUTION 1 :

Given :

Sum of two rational numbers = $\frac{8}{5}$

Given number + Required number = $\frac{8}{5}$

$\frac{8}{7}$ + Required number = $\frac{8}{5}$

Required number = $\frac{8}{5}$ - $\frac{8}{7}$

= $\frac{(56-40)}{35}$

= $\frac{(16)}{(35)}$

= $\frac{16}{35}$

The sumof two rational numbers is $\frac{7}{2.}$ If one of the number is $\frac{6}{7}$ , find the other.

Answer: $\frac{37}{14}$

SOLUTION 1 :

Given :

Sum of two rational numbers = $\frac{7}{2}$

Given number + Required number = $\frac{7}{2}$

$\frac{6}{7}$ + Required number = $\frac{7}{2}$

Required number = $\frac{7}{2}$ - $\frac{6}{7}$

= $\frac{(49-12)}{14}$

= $\frac{(37)}{(14)}$

= $\frac{37}{14}$

The sumof two rational numbers is $\frac{5}{2.}$ If one of the number is $\frac{4}{8}$ , find the other.

Answer: $\frac{2}{1}$

SOLUTION 1 :

Given :

Sum of two rational numbers = $\frac{5}{2}$

Given number + Required number = $\frac{5}{2}$

$\frac{4}{8}$ + Required number = $\frac{5}{2}$

Required number = $\frac{5}{2}$ - $\frac{4}{8}$

= $\frac{(40-8)}{16}$

= $\frac{(32)}{(16)}$

= $\frac{2}{1}$

The sumof two rational numbers is $\frac{3}{4.}$ If one of the number is $\frac{2}{5}$ , find the other.

Answer: $\frac{7}{20}$

SOLUTION 1 :

Given :

Sum of two rational numbers = $\frac{3}{4}$

Given number + Required number = $\frac{3}{4}$

$\frac{2}{5}$ + Required number = $\frac{3}{4}$

Required number = $\frac{3}{4}$ - $\frac{2}{5}$

= $\frac{(15-8)}{20}$

= $\frac{(7)}{(20)}$

= $\frac{7}{20}$

10)

The sumof two rational numbers is $\frac{1}{5.}$ If one of the number is $\frac{4}{7}$ , find the other.

Answer: $\frac{-13}{35}$

SOLUTION 1 :

Given :

Sum of two rational numbers = $\frac{1}{5}$

Given number + Required number = $\frac{1}{5}$

$\frac{4}{7}$ + Required number = $\frac{1}{5}$

Required number = $\frac{1}{5}$ - $\frac{4}{7}$

= $\frac{(7-20)}{35}$

= $\frac{(-13)}{(35)}$

= $\frac{-13}{35}$