Question

find the value of 3,1 by 9+_(5,2by7)​

Answer 1

Answer:

+(2

7

2

−1

3

1

)×1

4

3

=2.67

Step-by-step explanation:

Given : Expression \frac{3}{5}+(2\frac{2}{7}-1\frac{1}{3})\times 1\frac{3}{4}

5

3

+(2

7

2

−1

3

1

)×1

4

3

To find : The value of the expression ?

Solution :

Step 1 - Write the expression,

\frac{3}{5}+(2\frac{2}{7}-1\frac{1}{3})\times 1\frac{3}{4}

5

3

+(2

7

2

−1

3

1

)×1

4

3

Step 2 - Solve the mixed fraction,

=\frac{3}{5}+(\frac{16}{7}-\frac{4}{3})\times \frac{7}{4}=

5

3

+(

7

16

−

3

4

)×

4

7

Step 3 - Apply distributive property, a(b+c)=ab+aca(b+c)=ab+ac

=\frac{3}{5}+\frac{16}{7}\times \frac{7}{4}-\frac{4}{3}\times \frac{7}{4}=

5

3

+

7

16

×

4

7

−

3

4

×

4

7

=\frac{3}{5}+4-\frac{7}{3}=

5

3

+4−

3

7

Step 4 - Solve,

=\frac{9+60-35}{15}=

15

9+60−35

=\frac{34}{15}=

15

34

=2.67=2.67