Answered

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Evaluate the expression.
-2/3(1.5÷0.25÷5/4)-5/6

Evaluate The Expression 23150255456 class=

Sagot :

varshamittal029

The value of the given expression is  -121/ 30.

BODMAS stands for Bracket Of Division Multiplication Addition and Subtraction. It is basically the rule of the order in which a mathematical expression must be solved.

Here, we are given an expression- -2/3 (1.5 ÷ 0.25 ÷ 5/4) -5/6

It can be written as -2/3 (15/10 ÷ 25/ 100 ÷ 5/4) -5/6

= -2/3 (3/2 ÷  1/4 ÷ 5/4) -5/6

As per the rules of BODMAS, we first deal with the terms inside the bracket-

(3/2 ÷  1/4 ÷ 5/4) = (3/2 × 4 × 4/5)

= (3 × 2 × 4/5)

= 24/5

Thus, the expression becomes-

-2/3 (24/5) -5/6

= -48/ 15 - 5/6

LCM of 15 and 6 is 60

⇒ -(48 × 4)/ 60 - (5 × 10)/ 60

-192/ 60 - 50/ 60

= (-192 - 50)/ 60

= -242/ 60

= -121/ 30

Learn more about BODMAS here-

https://brainly.in/question/3982019

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