Question

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Answer 1

Question :--- we have to find what fraction of the original pizza did teddy eat for dinner ?

Given:--- Lucas divided his pizza into three equal parts ...

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As one pizza was divided into three equal parts so, each friend got 1/3 part of pizza ..

His friend teddy also got the same part of the pizza ...

Now teddy eat 5/8 of the pizza in lunch and further 2/5 of the pizza in dinner ..

He eat in lunch = 5/8 of 1/3 = 5/8 * 1/3 = 5/24 part .

so, remaining part = 1/3 - 5/24 =(8-5)/24 = 3/24 = 1/8 part ...

Now he ate 2/5 part in dinner ..

so, in dinner he eat = 2/5 of 1/8 = 2/5 * 1/8 = 1/20 part ..

so, teddy eat fraction of original part for dinner is = 1/20 (Ans)

(Hope this helps you)

Answer 2

Answer:

1 / 20

Step-by-step explanation:

Let original pizza is represented by x

ATQ, Lucas divided whole pizza in to three parts then

Each part is represented by x and distribute three parts between his two freinds and himself

one of his friend out of two is Teddy.

ATQ, Teddy eats 5/8 of his piece as lunch

So, Teddy eats amount of pizza in lunch

= ( 5/8 ) x

Remaining part of pizza that Teddy have after Teddy eat his lunch

= x - ( 5 / 8 )x

= ( 8x - 5x )/ 8

= 3 x / 8

ATQ, 2/5 part of remaining part of pizza after Teddy eat his lunch was eaten by Teddy in his dinner = (2/5) × ( 3x / 8)

= 3x / 20

Fraction of Part of pizza eaten by Teddy in his dinner

= part of pizza used as dinner/Total

pizza

= ( 3x / 20 ) / 3x

= 1 / 20