Question

Please answer this question

Evaluate the following:

(a) 5/ 4 x -1/ 15
(b) 8/9 ÷ 2

Answer 1

Answer:

Step-by-step explanation:

a) 5/4 × ( - 1/ 15 )

= [( 5 × (-1 ) ] / ( 4 × 15 )

= - 5 / 60 (∵ + × - = - )

= - 1 / 12 is the answer. ( ∵ 5 × 12 = 60 )

b) ( 8/9) ÷ 2

= (8 / 9 )× ( 1 / 2 )

= ( 8 × 1 ) / ( 9 × 2 )

= 8 / 18

= 4 / 9 is the answer. (∵ 2 × 4 = 8 ; 2 × 9 = 18 )

Answer 2

• We have to evaluate the above expression by using the given data.

            Given data:-

             $a) \frac{5}{4} \times \frac{-1}{15} \\b) \frac{8}{9} \div 2.$

          To find:- Value of above expression.

          Solution:-

• To solve the above equation we will follow the BODMAS rule.

• BODMAS is an order of mathematic operations.

• BODMAS rule is to be followed while solving expressions in mathematics. It stands for,

           B= bracket

           O= order of power or rules

           D= division

           M= multiplication

           A= addition

           S=subtraction

         Therefore,

        A)

          $\begin{array}{l}\frac{5}{4} \times \frac{-1}{15} \\=\frac{5 \times-1}{4 \times 15} \\=\frac{-5}{60} \\=\frac{-5 \div 5}{60 \div 5} \\=-\frac{1}{12}\\=-0.083.\end{array}$

       B)

          $\frac{8}{9} \div 2\\\Rightarrow\frac{4}{9}\\\Rightarrow 0.44.$

Hence we will get the value $\frac{5}{4} \times \frac{-1}{15}=-0.083$ and  $\frac{8}{9} \div 2=0.44.$