Question

simplify using appropriate properties 8/9×4/5+5/6-9/5×8/9​

Answer 1

•Given

• 8/9×4/5+5/6-9/5×8/9

•To find

• simplified answer of 8/9×4/5+5/6-9/5×8/9

•Concept

➔ First we will find the L.C.M of 9,5 and 6. After finding the L.C.M, we will use the BODMAS rule and work out the answer.

B- bracket

O- of

D- division

M- multiplication

A- addition

S- subtraction

•Solution

➥ 8/9×4/5+5/6-9/5×8/9

➥L.C.M of 5,9 and 6 is 3×3×2×5 = 90

➥ 80×72+75-162×80/90

➥5760+75-12960/90

➥5835-1290/90

➥4545/90

➥99/18

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Answer 2

CONCEPT:
we want to use some common rules of mathematics like BODMAS and simple fractional calculation tools here.

BODMAS is the rule of order of arithmetic calculation.In every arithmetic calculation we have to follow  a basic rule called BODMAS.

this is the order

BO-bracket open(open the bracket first)

D-division(then do the division)

M-multiplication(then multiplication)

A-addition(then addition)

S-subtraction(then subtraction at last)

Also for fractional rules

we can ,multiply  terms directly (numerator*numerator)/(denominator/denominator).

for addition and subtraction we should make denominator equal then write the denominator common and add or substract the numerators and write it in top.

GIVEN:

here the problem 8/9*4/5+5/6-9/5*8/9

FIND:

find the solution using properties.

SOLUTION:

There is no bracket to open

So start with multiplication.

Here the terms given for multiplication are 8/9*4/5  and 9/5*8/9

8/9*4/5=8*4/9*5=32/45

9/5*8/9=9*8/5*9=72/45

so the whole term (8/9*4/5)+5/6-(9/5*8/9)can be written as 32/45+5/6-72/45

here 32/45-72/45=-40/45

so 8/9×4/5+5/6-9/5×8/9​=-40/45 +5/6

$\frac{-40}{45} +\frac{5}{6} =\frac{(-40*6)+(5*45)}{45*6} =\frac{-15}{270}$=

so the solution is -15/270=-3/54

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