Question

simplify please explain it please​

Answer 1

Answer:

Given:-

Simplify - $7 \ \frac{1}{3} ÷ \frac{2}{3} \ \ of \ \ 2 \ \frac{1}{5} + 1 \ \frac{3}{8} ÷ 2 \ \frac{3}{4} - 1 \ \frac{1}{2}$

To Find:-

The given sum.

Note:-

●》According to "BODMAS" first bracket should be solved, then 'of', then division, then multiplication, then addition, then subtraction.

●》Mixed fraction should be changed to improper fraction during calculations.

●》Two fractions can't be divided easily , for that we use reciprocal , for example - 2/3 ÷ 4/5 changes to 2/3 × 5/4.

●》Denominators of two or more than two fractions should be equal during addition and subtraction.

Solution:-

☆ According to note first and second point ( BODMAS, mixed fraction changes )~

▪︎$\frac{22}{3} ÷ \frac{2}{3} \ \ of \ \ \frac{11}{5} + \frac{11}{8} ÷ \frac{11}{4} - \frac{3}{2}$

☆ Let's solve 'of'

▪︎$\frac{22}{3} ÷ \frac{22}{15} + \frac{11}{8} ÷ \frac{11}{4} - \frac{3}{2}$

☆ According to note third point ( reciprocal )~

▪︎$\frac{22}{3} × \frac{15}{22} + \frac{11}{8} × \frac{4}{11} - \frac{3}{2}$

☆ Let's multiply

▪︎$\frac{5}{1} + \frac{1}{2} - \frac{3}{2}$

☆ As you can see denominators are not same, according to note fourth point

( L.C.M )~

L.C.M is = 2, so let's make denominator 2 , no need to make any changes where denominator is 2

▪︎$\frac{5}{1} × \frac{2}{2} + \frac{1}{2} - \frac{3}{2}$

▪︎$\frac{10}{2} + \frac{1}{2} - \frac{3}{2}$

☆ Let's add

▪︎$\frac{11}{2} - \frac{3}{2}$

☆ Let's subtract

▪︎$\frac{7}{2}$

☆ Here, it can be changed to mixed fraction~

▪︎$3 \ \frac{1}{2}$

Answer:-

Hence, the value is = $3 \ \frac{1}{2}$

:)

Answer 2

Answer:

Given:-

Simplify - 7 \ \frac{1}{3} ÷ \frac{2}{3} \ \ of \ \ 2 \ \frac{1}{5} + 1 \ \frac{3}{8} ÷ 2 \ \frac{3}{4} - 1 \ \frac{1}{2} 7

3

1

÷

3

2

of 2

5

1

+1

8

3

÷2

4

3

−1

2

1

To Find:-

The given sum.

Note:-

●》According to "BODMAS" first bracket should be solved, then 'of', then division, then multiplication, then addition, then subtraction.

●》Mixed fraction should be changed to improper fraction during calculations.

●》Two fractions can't be divided easily , for that we use reciprocal , for example - 2/3 ÷ 4/5 changes to 2/3 × 5/4.

●》Denominators of two or more than two fractions should be equal during addition and subtraction.

Solution:-

☆ According to note first and second point ( BODMAS, mixed fraction changes )~

▪︎ \frac{22}{3} ÷ \frac{2}{3} \ \ of \ \ \frac{11}{5} + \frac{11}{8} ÷ \frac{11}{4} - \frac{3}{2}

3

22

÷

3

2

of

5

11

+

8

11

÷

4

11

−

2

3

☆ Let's solve 'of'

▪︎ \frac{22}{3} ÷ \frac{22}{15} + \frac{11}{8} ÷ \frac{11}{4} - \frac{3}{2}

3

22

÷

15

22

+

8

11

÷

4

11

−

2

3

☆ According to note third point ( reciprocal )~

▪︎ \frac{22}{3} × \frac{15}{22} + \frac{11}{8} × \frac{4}{11} - \frac{3}{2}

3

22

×

22

15

+

8

11

×

11

4

−

2

3

☆ Let's multiply

▪︎ \frac{5}{1} + \frac{1}{2} - \frac{3}{2}

1

5

+

2

1

−

2

3

☆ As you can see denominators are not same, according to note fourth point

( L.C.M )~

L.C.M is = 2, so let's make denominator 2 , no need to make any changes where denominator is 2

▪︎ \frac{5}{1} × \frac{2}{2} + \frac{1}{2} - \frac{3}{2}

1

5

×

2

2

+

2

1

−

2

3

▪︎ \frac{10}{2} + \frac{1}{2} - \frac{3}{2}

2

10

+

2

1

−

2

3

☆ Let's add

▪︎ \frac{11}{2} - \frac{3}{2}

2

11

−

2

3

☆ Let's subtract

▪︎ \frac{7}{2}

2

7

☆ Here, it can be changed to mixed fraction~

▪︎ 3 \ \frac{1}{2} 3

2

1

Answer:-

Hence, the value is = 3 \ \frac{1}{2} 3

2

1

:)