Mrs. Lim bought some white rice and some brown rice. She cooked an equal amount of white and brown rice. She had \(\frac{3}{4}\) of the white rice and \(\frac{3}{8}\) of the brown rice left.

What fraction of the rice that Mrs. Lim bought was cooked?

Question

21-11-2024
Mathematics

Middle School

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Mrs. Lim bought some white rice and some brown rice. She cooked an equal amount of white and brown rice. She had \(\frac{3}{4}\) of the white rice and \(\frac{3}{8}\) of the brown rice left.

What fraction of the rice that Mrs. Lim bought was cooked?

Answer :

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Final answer:

Mrs Lim cooked 7/16 of the total rice she bought. This is calculated by averaging the fractions of cooked white rice (1/4) and brown rice (5/8).

Explanation:

This question is about finding the fraction of rice that was cooked from Mrs Lim's purchase. Mrs Lim had 3/4 of the white rice and 3/8 of the brown rice left. However, we know that she cooked an equal amount of each. Therefore, if we take 1 (representing the whole amount of rice) and subtract the fraction that remains uncooked, we get the fraction of rice that was cooked.

For white rice, this calculation is 1 - 3/4 = 1/4. For brown rice, it's 1 - 3/8 = 5/8.

Because Mrs Lim cooked an equal amount of brown and white rice, we need to find a common fraction that represents this same quantity for each. To find this, take an average of the two cooked fractions: (1/4 + 5/8) / 2 = 7/16. Therefore, Mrs Lim cooked 7/16 of the total rice she bought.

Learn more about Fractions here:

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Mrs. Lim bought some white rice and some brown rice. She cooked an equal amount of white and brown rice. She had \(\frac{3}{4}\) of the white rice and \(\frac{3}{8}\) of the brown rice left.What fraction of the rice that Mrs. Lim bought was cooked?

Answer :

Final answer:

Explanation:

Learn more about Fractions here:

Other Questions

Mrs. Lim bought some white rice and some brown rice. She cooked an equal amount of white and brown rice. She had \(\frac{3}{4}\) of the white rice and \(\frac{3}{8}\) of the brown rice left.

What fraction of the rice that Mrs. Lim bought was cooked?