Question

multiply the sum of - 3 / 11 and 5 / 22 by the product of 4 /7 and -14 /9

Answer 1

Heya !!!




★ Sum of -3/11 and 5/22





=> -3 × 2 + 5 × 1 / 22






=> -6 + 5/22


=> -1/22



★ Product of 4/7 and -14/9





=> 4/7 × -14/9





=> ( 4 × -2) / ( 9 × 1)




=> -8/9




★ Multiplication of -1/22 and -8/9





=> -1/22 × -8/9




=> 8/198




=> 4/99





★ HOPE IT WILL HELP YOU ★

Answer 2

Concept:

Fraction is the comparison between two or more mathematical quantities and numbers etc.

Mathematical expression is an mathematical statement involves mathematical quantities, numbers, variables, mathematical operations and other mathematical components etc.

Given:

Given that, "multiply the sum of - 3 / 11 and 5 / 22 by the product of 4 /7 and -14 /9"

Find:

The product value of the above stated mathematical expression.

Solution:

Given arithmetical expression is, "multiply the sum of - 3 / 11 and 5 / 22 by the product of 4 /7 and -14 /9"

So we have to find the value of (-3/11 + 5/22)*((4/7)*(-14/9))

Now, the sum of -3/11 and 5/22 is given by

= -3/11 + 5/22

= (-3*2+5)/22, since LCM of 11,22 = 22

= (-6+5)/22

= -1/22

Now the product of 4/7 and -14/9 is given by

= (4/7)*(-14/9)

= - (4*14)/(7*9), since it is product of one negative and one positive so it gives negative

= -8/9

At last, the product of above two determined fractions is given by

= (-3/11 + 5/22)*((4/7)*(-14/9))

= (-1/22)*(-8/9)

= (1*8)/(22*9), since it is product of two negative so end result will be positive value

= 4/(11*9)

= 4/99

Hence the value of the expression "multiply the sum of - 3 / 11 and 5 / 22 by the product of 4 /7 and -14 /9" is given by 4/99.

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