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Write a multiplication equation that represents the question: how many 3/8's are in 5/4?

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Final Answer:

The multiplication equation representing "how many 3/8's are in 5/4" is
\( (5)/(4) * (8)/(3) = (10)/(3) \).

Step-by-step explanation:

To determine how many
\( (3)/(8) \)'s are in
\( (5)/(4) \), we use the concept of division as a multiplication of the reciprocal. This can be written as
\( (5)/(4) * (8)/(3) \). To solve, multiply the numerators (5 * 8) to get 40, and multiply the denominators (4 * 3) to get 12. The result,
\( (40)/(12) \), simplifies to
\( (10)/(3) \).

Understanding this calculation involves converting the whole number
\( (5)/(4) \) into a fraction. This means
\( (5)/(4) \) can be expressed as
\( (5)/(1) / (4)/(1) \), which is
\( (5)/(1) * (1)/(4) \). We want to find how many groups of
\( (3)/(8) \) are in
\( (5)/(4) \), hence the multiplication by
\( (8)/(3) \). This calculation yields
\( (10)/(3) \), indicating that
\( (10)/(3) \) of
\( (3)/(8) \) are present in
\( (5)/(4) \).

Therefore,
\( (10)/(3) \) represents the number of
\( (3)/(8) \)'s present within
\( (5)/(4) \). It implies that within
\( (5)/(4) \), there are
\( (10)/(3) \) groups of
\( (3)/(8) \).

User Ozgen
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