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$As a fraction in simplest terms, what would you multiply the first number by to get the second? First number: 12 Second number: 14 12*◻=14$

As a fraction in simplest terms, what would you multiply the first number by to get the second? $\newline$ First number: $12$ Second number: $14$ $\newline$ $12 \cdot \square=14$

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Full solution

Q. As a fraction in simplest terms, what would you multiply the first number by to get the second?

\newline

First number:

12

Second number:

14

\newline

12 \cdot \square=14

Divide to Find Fraction: To find the fraction that you multiply by the first number $12$ to get the second number $14$ , you need to divide the second number by the first number. $\newline$ Calculation: $\frac{14}{12}$
Simplify Result: Simplify the fraction obtained from the division. $\newline$ Calculation: $\frac{14}{12} = \frac{7}{6}$ (Divide both numerator and denominator by their greatest common divisor, which is $2$ )
Check for Simplest Form: Check to ensure that the fraction $\frac{7}{6}$ is in its simplest form by confirming there are no common divisors between $7$ and $6$ other than $1$ . $\newline$ Since $7$ is a prime number and $6$ is not a multiple of $7$ , the fraction is indeed in its simplest form.

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