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$As a fraction in simplest terms, what would you multiply the first number by to get the second? First number: 28 Second number: 26 28*◻=26$

As a fraction in simplest terms, what would you multiply the first number by to get the second? $\newline$ First number: $28$ Second number: $26$ $\newline$ $28 \cdot \square=26$

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Write multiplication expressions using exponents

Full solution

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

\newline

First number:

28

Second number:

26

\newline

28 \cdot \square=26

Identify Numbers and Operation: Identify the numbers involved and the operation needed. $\newline$ We need to find a fraction that when multiplied by the first number $28$ gives the second number $26$ .
Set Up Equation: Set up the equation to find the fraction. $\newline$ Let the fraction be represented by $x/y$ . We have: $\newline$ $28 \times (x/y) = 26$
Solve for Fraction: Solve for the fraction $\frac{x}{y}$ . $\newline$ To isolate $\frac{x}{y}$ , we divide both sides of the equation by $28$ : $\newline$ $\frac{x}{y} = \frac{26}{28}$
Simplify Fraction: Simplify the fraction on the right-hand side. $26$ and $28$ have a common factor of $2$ . Dividing both the numerator and the denominator by $2$ gives: $(x/y) = 13 / 14$
Check Result: Check the result. $\newline$ Multiplying $28$ by $\frac{13}{14}$ should give us $26$ : $\newline$ $28 \times \left(\frac{13}{14}\right) = \left(\frac{28}{14}\right) \times 13 = 2 \times 13 = 26$ $\newline$ This confirms that our fraction is correct.

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