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$As a fraction in simplest terms, what would you multiply the first number by to get the second? First number: 72 Second number: 30 72*◻=30$

As a fraction in simplest terms, what would you multiply the first number by to get the second? $\newline$ First number: $72$ Second number: $30$ $\newline$ $72 \cdot \square=30$

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Add, subtract, multiply, or divide two fractions

Full solution

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

\newline

First number:

72

Second number:

30

\newline

72 \cdot \square=30

Divide $30$ by $72$ : To find the fraction that you would multiply by $72$ to get $30$ , you need to divide $30$ by $72$ . $\newline$ Calculation: $\frac{30}{72}$
Simplify fraction $\frac{30}{72}$ : Simplify the fraction $\frac{30}{72}$ by finding the greatest common divisor (GCD) of $30$ and $72$ . The GCD of $30$ and $72$ is $6$ . Now divide both the numerator and the denominator by $6$ . Calculation: $\left(\frac{30}{6}\right) / \left(\frac{72}{6}\right) = \frac{5}{12}$
Check simplest form: Check to ensure that $\frac{5}{12}$ is the simplest form of the fraction. $\newline$ Both $5$ and $12$ are prime to each other, meaning they have no common divisors other than $1$ . $\newline$ Therefore, $\frac{5}{12}$ is indeed in simplest form.

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