Question
ct answer from the drop-down menu. \( 6 \frac{5}{6} \) kilograms of rice. She cooked \( 2 \frac{1}{3} \) kilogra ams of rice does she have left to cook?
Ask by Klein Gordon. in the United Arab Emirates
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
She has \( 4 \frac{1}{2} \) kilograms of rice left to cook.
Solution
To determine how much rice she has left to cook, subtract the amount she cooked from the total amount she had.
**Total Rice:** \( 6 \frac{5}{6} \) kilograms
**Cooked Rice:** \( 2 \frac{1}{3} \) kilograms
**Step 1:** Convert the mixed numbers to improper fractions.
\[
6 \frac{5}{6} = \frac{6 \times 6 + 5}{6} = \frac{41}{6}
\]
\[
2 \frac{1}{3} = \frac{2 \times 3 + 1}{3} = \frac{7}{3}
\]
**Step 2:** Subtract the cooked rice from the total rice. To subtract, ensure both fractions have the same denominator.
\[
\frac{41}{6} - \frac{7}{3} = \frac{41}{6} - \frac{14}{6} = \frac{27}{6}
\]
**Step 3:** Simplify the result.
\[
\frac{27}{6} = 4 \frac{3}{6} = 4 \frac{1}{2}
\]
**Answer:** She has **\( 4 \frac{1}{2} \) kilograms** of rice left to cook.
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Extra Insights
To determine how much rice is left to cook, you need to subtract the amount already cooked from the total amount. First, convert the mixed numbers to improper fractions: \( 6 \frac{5}{6} = \frac{41}{6} \) kg and \( 2 \frac{1}{3} = \frac{7}{3} \) kg. Now, find a common denominator (which is 6 here) and convert \( \frac{7}{3} \) to \( \frac{14}{6} \) kg. Subtract the two: \( \frac{41}{6} - \frac{14}{6} = \frac{27}{6} \) kg. This simplifies to \( 4 \frac{1}{2} \) kg of rice left to cook. So, there you have it! You're ready to whip up some more delicious rice!