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Avi and Micah are teammates on a track and field team. Avi's best long jump is times as long as Micah's. Avi's best long jump is meters. How long is Micah's best long jump?
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Q. Avi and Micah are teammates on a track and field team. Avi's best long jump is times as long as Micah's. Avi's best long jump is meters. How long is Micah's best long jump?
- Understand Relationship: Understand the relationship between Avi's and Micah's long jumps. Avi's best long jump is times as long as Micah's. This means that to find Micah's best long jump, we need to divide Avi's best long jump by .
- Convert to Improper Fractions: Convert the mixed numbers to improper fractions to make the division easier. is the same as when converted to an improper fraction. is the same as when converted to an improper fraction.
- Divide by Factor: Divide Avi's best long jump by the factor to find Micah's best long jump.We need to divide (Avi's long jump) by (the factor).To divide by a fraction, we multiply by its reciprocal.So, we multiply by .
- Perform Multiplication: Perform the multiplication.(\frac{7}{2}) \times (\frac{6}{7}) = (\frac{7 \times 6}{2 \times 7})\(\newline= \frac{42}{14}= 3\)
- Convert to Mixed Number: Convert the result back to a mixed number if necessary.Since the result is a whole number, there is no need to convert it to a mixed number. Micah's best long jump is meters.
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