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Question
as a fraction in simplest terms, what would you multiply the first number by to get the second?
first number: 62 second number: 52
answer attempt 1 out of 2
62·□ = 52
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Step1: Let the multiplier be \( x \)
We have the equation \( 62 \times x = 52 \). To find \( x \), we can solve for \( x \) by dividing both sides of the equation by 62. So \( x=\frac{52}{62} \).
Step2: Simplify the fraction
To simplify \( \frac{52}{62} \), we find the greatest common divisor (GCD) of 52 and 62. The factors of 52 are 1, 2, 4, 13, 26, 52. The factors of 62 are 1, 2, 31, 62. The GCD of 52 and 62 is 2. We divide both the numerator and the denominator by 2: \( \frac{52\div2}{62\div2}=\frac{26}{31} \).
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\(\frac{26}{31}\)