(11/14 / 22/5) - ( 11/14 x 22/5) simplify?

Question

How do i solve this, plz show steps..

I know that division is by doing it times it's reciprocal

so (11/14 x 5/22) - ( 11/14 x 22/5)

which is (5/28) - ( 3 26/35) is this right?

but then how do i simplify?

Answer 1

11/14 x 5/22 = 5/2*14 = 5/28

11/14 x 22/5=242/70

5/28-242/70

take LCM and make denomiators same ,

350/1960 - 6776/1960 = 6426/1960 = 3  546/1960

Answer 2

= ([11/14]/[22/5]) - ([11/14][22/5])

= ([11/14][5/22]) - 121/35

= 5/28 - 121/35

= 25/140 - 484/140

= - 459/140

= - 3 39/140

Answer: - 3 39/140 or - 3.27 6/7 or - 3.28 approximated

Answer 3

(11/14 / 22/5) – ( 11/14 x 22/5)

= (11/14 ÷ 22/5) – ( 11/14 x 22/5)

= (11/14 × 5/22) – ( 11/14 x 22/5)

= (11× 5/14 ×22) – ( 11× 22/14× 5)

= (55/14 ×22) – ( 242/14× 5) ------------- LCM 14 × 110

= (55 × 4 – 242 × 22)/14 × 110

= (220 – 5324)/

= –5104/1540

= – 3.31

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Answer 4

(11/14 / 22/5) - ( 11/14 x 22/5).

Here we have the division of two fractions

minus the multiplication of two fractions.

The rule is that to divide by a fraction

is like multiplying by its reciprocal

And to multiply two fractions

we multiply the nominators for a new nominator

and multiply the denominators for a new denom.

(11/14 times 5/22)

simplify by dividing the mum. of 1st fr. and denom of 2nd

by11

1/14 times 5/2

5/28

We can simplify the second part by dividing the num. and denom

by 2

11/7 x 11/5

121/35

5/28 - 121/35

find the lowest common denom.

28 = 4 times 7

35 = 5 times 7

comm denom = 4 times 5 times 7 = 140

25/140 - 484/140

- 459/140

Answer 5

Don't convert into mixed numerals until the last step.

(11/14 x 5/22) - ( 11/14 x 22/5) = (5/28) - (24/7)

= (5/28) - (96/28) = -91/28

Answer 6

(11/14 / 22/5) - ( 11/14 x 22/5)

(11/14 x 5/22) - (11/14 x 22/5)

11/14 x (5/22 - 22/5)

11/14 x (25/110 - 484/110)

11/14 x (-459/110)

1/14 x (-459/10)

-459/140

Answer 7

(11/14 x 5/22) is 5/28

But check your answer for (11/14 x 22/5).  I got (121/35).

To subtract (5/28) - (121/35), the fractions must have the same denominators.

The least common multiple of 28 and 35 is 140.

(5/28) = 25/140

(121/35) = 484/140

(25/140) - (484/140) = -459/140

Answer 8

Ok  times top with top and bottom with bottom so

(11/14 x 5/22) = (11*5)/(14*22)=(55/308)

(11/14 x 22/5) = (11*22)/(14*5)=(242/70)

Now (55/308)-(242/70) = ( (55*70)-(204*308) )   / (308*70)

(3850-62832) / (21560) = -58982/21560 = -383/140

Hope that helps

Answer 9

(11/14 * 5/22 ) - ( 242/70 )

= ( 55/70 ) - ( 242/70)

= -187/70