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$As a fraction in simplest terms, what would you multiply the first number by to get the second? First number: 20 Second number: 64 20*◻=64$

As a fraction in simplest terms, what would you multiply the first number by to get the second? $\newline$ First number: $20$ Second number: $64$ $\newline$ $20 \cdot \square=64$

Full solution

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

\newline

First number:

20

Second number:

64

\newline

20 \cdot \square=64

Identify Numbers and Operation: Identify the numbers involved and the operation required. $\newline$ We need to find a fraction that, when multiplied by the first number $20$ , gives us the second number $64$ .
Set Up Equation: Set up the equation to find the fraction. $\newline$ Let the fraction be represented by $x$ . The equation is then: $\newline$ $20 \times x = 64$
Solve for x: Solve for x by dividing both sides of the equation by $20$ . $x = \frac{64}{20}$
Simplify Fraction: Simplify the fraction. $\newline$ $64 / 20$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $4$ . $\newline$ $x = (64 / 4) / (20 / 4)$ $\newline$ $x = 16 / 5$
Check Result: Check the result. $\newline$ Multiply the simplified fraction by the first number to ensure it equals the second number. $\newline$ $20 \times (\frac{16}{5}) = (\frac{20}{5}) \times 16 = 4 \times 16 = 64$