Question

Simplify: (3/2 x 1/6) +(5/2 x 7/2) -( 13/8. x 4/3)​

Answer 1

Answer:

Step-by-step explanation:

3/2 x 1/6 = 3/12=1/4=6/24

5/2 x 7/2 = 35 / 2 = 70/4= 420/24

13/8 x 4/3 = 52/24 = 26/12 = 13/6=52/24

6/24+420/24-52/24

426/24-52/24

374/24

Answer 2

Answer: $\frac{41}{6}$

Step-by-step explanation:

• Given: $(\frac{3}{2}*\frac{1}{6} )+(\frac{5}{2}*\frac{7}{2} )-(\frac{13}{8}*\frac{4}{3} )$
• To find: Simplify
• Solution: First we will perform addition and then subtraction according to BODMAS.

          $(\frac{3}{2}*\frac{1}{6} )+(\frac{5}{2}*\frac{7}{2} )-(\frac{13}{8}*\frac{4}{3} )$

     ⇒  $(\frac{1}{2}*\frac{1}{2} )+(\frac{5}{2}*\frac{7}{2} )-(\frac{13}{2}*\frac{1}{3} )$

     ⇒  $(\frac{1}{4})+(\frac{35}{4})-(\frac{13}{6})$

     ⇒ $9-\frac{13}{6}$

     ⇒ $\frac{41}{6}$

• Hence, the required answer is  $\frac{41}{6}$.

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