Romero Stewart
02/06/2023 · Elementary School
a. Choose the best approximation for \( 7 \frac{1}{5} \cdot 1 \frac{4}{7} \). 16 14 7 8
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Step-by-step Solution
To find the best approximation for \( 7 \frac{1}{5} \cdot 1 \frac{4}{7} \), we first need to convert the mixed numbers to improper fractions.
\( 7 \frac{1}{5} = \frac{36}{5} \) and \( 1 \frac{4}{7} = \frac{11}{7} \)
Now, we can multiply these two fractions:
\( \frac{36}{5} \cdot \frac{11}{7} = \frac{396}{35} \)
To find the best approximation, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 7:
\( \frac{396}{35} = \frac{56}{5} \)
Therefore, the best approximation for \( 7 \frac{1}{5} \cdot 1 \frac{4}{7} \) is \( \frac{56}{5} \), which is closest to 11.2.
So, the best approximation is 11.
Quick Answer
The best approximation is 11.
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