Question

(-6/17)+(-5/17) Nd (-3/13)+(-2/13) .... please answer me fast... don't spam...​

Answer 1

Answer:

$\huge{\boxed{\rm{\red{Question}}}}$

The present age of Chahat and Arshi are in the ratio 2:3. After 12 9years, their age will be in the ratio 11:15. Find out the present age of Arshi.

$\huge{\boxed{\rm{\red{Answer}}}}$

$\large{\boxed{\boxed{\sf{Given \: that}}}}$

The present age of Chahat and Arshi are in the ratio 2:3

After 12 years, their age will be in the ratio 11:15

$\large{\boxed{\boxed{\sf{To \: find}}}}$

Present age of Arshi

$\large{\boxed{\boxed{\sf{Solution}}}}$

Present age of Arshi = 48 years

$\large{\boxed{\boxed{\sf{What \: the \: question \: says \: ?}}}}$

$\large{\boxed{\boxed{\sf{Let's \: understand \: the \: concept \: 1^{st}}}}}$

This question say that, there are two persons. Their names are Chahat and Arshi. The question is about their age. The present age of Chahat and Arshi are in a ratio of 2:3 Then the question say that after 12 years the ratio of their age will be 11:15. After that it asks to find the present age of Arshi.

$\large{\boxed{\boxed{\sf{How \: to \: do \: this \: question \: ?}}}}$

$\large{\boxed{\boxed{\sf{Let's \: see \: the \: procedure \: that \: is \: given \: below}}}}$

Firstly we have to assume their present age. We assume Chatat age as 2x and Arshi's age as 3x. Now, we have to use a formula to find their age. After that a result is come. Then, we get the cake of x that is 16. As we assume her age as 3x . Now we have to multiply 3 by 16 . Then we get a result that is 48. And it's the present age of Arshi.

$\large{\boxed{\boxed{\sf{Let's \: solve \: it \: properly}}}}$

$\large{\boxed{\boxed{\sf{Assumptions}}}}$

Let the present age of Chahat will be 2x.

Let the present age of Arshi will be 3x.

$\large{\boxed{\boxed{\sf{Full \: solution}}}}$

$\large\purple{\texttt{As we know that}}$

☯ We let the present age of Chahat will be 2x and we let the present age of Arshi will be 3x.

$\large\purple{\texttt{Now according to the given question}}$

$\large\purple{\texttt{Let's carry on,}}$

$\leadsto$ Chahat age + 12 ÷ Arshi age + 12 = 11 ÷ 15

$\leadsto$ 2x + 12 ÷ 3x + 12 = 11 ÷ 15

$\leadsto$ 15(2x+12) = 11(3x+12)

$\large\mathfrak\blue{This \: result \: 15(2x+12) = 11(3x+12) \: is \: come}$

$\large\mathfrak\blue{When \: we \: Cross \: multiply \: the \: values}$

$\large\purple{\texttt{Continuing....}}$

$\leadsto$ 30x + 12 = 33x + 132

$\large\purple{\texttt{Now we have to combining like terms}}$

$\large\purple{\texttt{Let's carry on,}}$

$\leadsto$ 180 - 132 = 33x - 30x

$\leadsto$ 48 = 3x

$\leadsto$ x = 48/3

$\leadsto$ x = 16

◖ Arshi's present age is given below

$\leadsto$ Arshi's present age = 3x

$\leadsto$ Arshi's present age = 3 × 16

$\leadsto$ Arshi's present age = 48

$\bold{\pink{\fbox{\red{Hence, her present age is 48 years}}}}$

$\large{\boxed{\boxed{\boxed{\boxed{\boxed{\sf{48 \: is \: the \: answer}}}}}}}$

Hope it's helpful !!

Thank you all :)

Answer 2

Class 6 - Maths - Fractions

7¾   (b) 5    (c) 2   (d) 10    (e) 9    (f) 8  

Answer:

(a) 7¾  = 7 + 3/4 = {(7 * 4) + 3}/4 = (28 + 3)/4 = 31/4 

(b) 5   = 5 + 6/7 = {(5 * 7) + 6}/7 = (35 + 6)/7 = 41/7

(c) 2   = 2 + 5/6 = {(2 * 6) + 5}/6 = (12 + 5)/6 = 17/6

(d)  10   = 10 + 3/5 = {(10 * 5) + 3}/5 = (50 + 3)/5 = 53/5

(e) 9   = 9 + 3/7 = {(9 * 7) + 3}/7 = (63 + 3)/7 = 66/7

(f) 8   = 8 + 4/9 = {(8 * 9) + 4}/9 = (72 + 4)/9 = 76/9

 

 

                                                                   Exercise 7.3

Question 1:

Write the fractions. Are all these fractions equivalent:

            

               

Answer:

(a) 1/2 , 2/4, 3/6, 4/8

Again, 1/2 = 2/4 = 3/6 = 4/8

Yes, all of these fractions are equivalent.

(b) 4/12, 3/9, 2/6, 1/3, 6/15

Now, 4/12 = 1/3, 3/9 = 1/3, 2/9 = 1/3, 6/15 = 2/5

So, these fractions are not equivalent.

Question 2:

Write the fraction and pair up the equivalent fractions to each row:

                 

        

Answer:

(a) 1/2                        (ii) 4/8 = 1/2

(b) 4/6 = 2/3              (iv) 8/12 = 2/3

(c) 3/9 = 1/3              (i) 6/18 = 1/3

(d) 2/8 = 1/4              (v) 4/16 = 1/4

(e) 3/4                        (iii) 12/16 = 3/4

Question 3:

Replace        in each of the following by the correct number:

(a) 2/7 = 8/                   (b) 5/8 = 10/                 (c) 3/5 =      /20

(d) 45/60 = 15/            (e) 18/24 =    /4

Answer:

(a) 2/7 = (2*4)/(7*4) = 8/                    (b) 5/8 = (5*2)/(8*2)= 10/                   

 (c) 3/5 = (3*4)/(5*4) =       /20

(d) 45/60 = (45/3)/(60/3) = 15/                   (e) 18/24 = (18/6)/(24/6) = /4

Question 4:

Find the equivalent fraction of 3/5 having:

(a) denominator 20   (b) numerator 9   (c) denominator 30   (d) numerator 27

Answer:

(a) 3/5 = (3*4)/(5*4) = 12/20                (b) 3/5 = (3*3)/(5*3) = 9/15

(a) 3/5 = (3*6)/(5*6) = 18/30                (a) 3/5 = (3*9)/(5*9) = 27/45

Question 5:

Find the equivalent fraction of 36/48 with:

(a) numerator 9   (b) denominator 4

Answer:

(a) 36/48 = (36/4)/(48/4) = 9/12

(b) 36/48 = (36/12)/(48/12) = 3/4

Question 6:

Check whether the given fractions are equivalent:

(a) 5/9, 30/54       (b) 3/10, 12/50           (c) 7/13, 5/11

Answer:

(a) 5/9, 30/54 = (5*6)/(9*6), 30/54 = 30/54, 30/54

So, 5/9, 30/54 are equivalent fractions.

(b) 3/10, 12/50 = (3*5)/(10*5), 12/50 = 15/50, 12/50

So, 3/10, 12/50 are not equivalent fractions.

(a) 7/13, 5/11 = (7*11)/(13*11), (5*13)/(11*13)  = 77/143, 65/143

So, 7/13, 5/11 are not equivalent fractions.

Question 7:

Reduce the following fractions to simplest form:

(a) 48/60  (b) 150/60  (c) 84/98  (d) 12/52  (e) 7/28

Answer:

(a) 48/60 = 4/5       {48 and 60 are divided by 12} 

(b) 150/60 = 5/2    {150 and 60 are divided by 30}

(c) 84/98 = 6/7       {84 and 98 are divided by 14}

(d) 12/52 = 3/13    {12 and 52 are divided by 4}

(e) 7/28 = 1/4         {7 and 28 are divided by 7}

 

Question 8:

Ramesh had 20 pencils, Sheelu had 50 pencils and Jamaal had 80 pencils. After 4 months,

Ramesh used up 10 pencils, Sheelu used up 25 pencils and Jamaal used up 40 pencils.

What fraction did each use up? Check is each has used up an equal fraction of her/his

pencils?

Answer:

Ramesh:                                                      Sheelu: 

Total pencils = 20                                       Total pencils = 50

Used pencils = 10                                       Used pencils = 25 

Fraction = 10/20 = 1/2                              Fraction = 50/25 = 1/2

Jamaal:

Total pencils = 80

Used pencils = 40

Fraction = 40/80 = 1/2

Since, all of them used half of their pencils, therefore each one used up equal fraction of pencils.

Question 9:

Match the equivalent fractions and write two more for each:

(i) 250/400                         (a) 2/3

(ii) 180/200                      (b) 2/5

(iii) 660/990                     (c) 1/2

(iv) 180/360                     (d) 5/8

(v) 220/550                      (e) 9/10

 

Answer:

(a) 250/400 = 25/40    {250 and 400 are divided by 10}

                       = 5/8       {25 and 40 are divided by 5}

So, (a) 250/400 = (d) 5/8

(b) 180/200 = 18/20   {180 and 200 are divided by 10}

                       = 9/10     {18 and 20 are divided by 2}

So, (b) 180/200 = (e) 9/10

(c) 660/990 = 66/99    {660 and 990 are divided by 10}

                       = 6/9       {66 and 99 are divided by 11}

                       = 2/3       {6 and 9 are divided by 3}

So, (a) 660/990 = (a) 2/3

(d) 180/360 = 18/36    {180 and 360 are divided by 10}

                       = 1/2        {18 and 36 are divided by 18}

So, (d) 180/360 = (c) 1/2

(e) 220/550 = 22/55    {220 and 550 are divided by 10}

                       = 2/5       {22 and 55 are divided by 11}

So, (e) 220/550 = (b) 2/5

  

                                                                     Exercise 7.4

Question 1:

Write shaded portion as fraction. Arrange them in ascending and descending order using correct sign ‘<’, ‘>’, ‘=’ between the fractions:

                       

          

(c) Sho