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As a fraction in simplest terms, what would you multiply the first number by to get the second? First number: 25 Second number: 24 25*◻=24

As a fraction in simplest terms, what would you multiply the first number by to get the second?\newlineFirst number: 2525 Second number: 2424\newline25⋅□=24 25 \cdot \square=24

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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?\newlineFirst number: 2525 Second number: 2424\newline25⋅□=24 25 \cdot \square=24
  1. Calculate Fraction: Determine the fraction needed to multiply 2525 to get 2424. To find this fraction, divide the second number by the first number. 2425=0.96\frac{24}{25} = 0.96 This is the decimal form of the fraction we are looking for.
  2. Convert to Fraction: Convert the decimal to a fraction.\newline0.960.96 can be written as 96100\frac{96}{100}.\newlineHowever, this fraction is not in simplest terms.
  3. Simplify Fraction: Simplify the fraction.\newlineBoth the numerator and the denominator can be divided by 44.\newline(96/4)/(100/4)=24/25(96/4) / (100/4) = 24/25
  4. Verify Simplified Fraction: Check that the simplified fraction when multiplied by 2525 gives 2424.2425×25=24×2525=24\frac{24}{25} \times 25 = \frac{24 \times 25}{25} = 24This confirms that our fraction is correct.

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