1.

Raju ate \(\frac{3}{8}\) part of a pizza and Adam ate \(\frac{3}{10}\)part of the remaining pizza. Then Renu ate \(\frac{4}{7}\) part of the pizza that was left. What fraction of the pizza is still left?1. \(\frac{1}{8}\)2. \(\frac{3}{16}\)3. \(\frac{1}{4}\)4. \(\frac{5}{12}\)

Answer» Correct Answer - Option 2 : \(\frac{3}{16}\)

Given:

Raju ate \(\frac{3}{8}\) part of a pizza and Adam ate \(\frac{3}{10}\)part of the remaining pizza. Then Renu ate \(\frac{4}{7}\) part of the pizza that was left.

Concept Used:

Concept of fractional substraction

Calculation:

Let, the total pizza is 1 part

Raju ate \(\frac{3}{8}\) part

Remaining (1 - 3/8) part

⇒ 5/8 part

Adam ate \(\frac{3}{10}\)part of the remaining pizza

⇒ Adam ate (5/8 × 3/10) = 15/80 = 3/16 part of the total pizza

Total pizza is eaten (3/8 + 3/16) 

⇒ 9/16 part

Remaining pizza (1 - 9/16)

⇒ 7/16 part

Then Renu ate \(\frac{4}{7}\) part of the pizza

Renu ate (7/16 × 4/7) = 1/4 part of the pizza

Together they ate (3/8 + 3/16 + 1/4) part

⇒ 13/16 part

The fraction of the pizza till left (1 - 13/16)

⇒ 3/16 part

∴ 3/16 fraction of the pizza is still left.



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