Question

What fraction of the original pizza did Teddy eat for dinner?​

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 = $\huge{\frac{1}{20}}$ (Ans)

(Hope this helps you)