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As a fraction in simplest terms, what would you multiply the first number by to get the second?
First number: 14 Second number: 62

14*◻=62

As a fraction in simplest terms, what would you multiply the first number by to get the second?\newlineFirst number: 1414 Second number: 6262\newline14=62 14 \cdot \square=62

Full solution

Q. As a fraction in simplest terms, what would you multiply the first number by to get the second?\newlineFirst number: 1414 Second number: 6262\newline14=62 14 \cdot \square=62
  1. Identify Numbers and Operation: Identify the numbers involved and the operation required.\newlineWe need to find a fraction that, when multiplied by 1414, gives us 6262.
  2. Set Up Equation: Set up the equation to solve for the fraction.\newlineLet the fraction be represented by xx. The equation is then 14×x=6214 \times x = 62.
  3. Solve for x: Solve for x by dividing both sides of the equation by 1414.x=6214x = \frac{62}{14}
  4. Perform Division: Perform the division to find the value of xx.x=6214x = \frac{62}{14}x=4.42857142857x = 4.42857142857\ldots
  5. Simplify Fraction: Since we need the fraction in simplest terms, we recognize that the division does not result in a whole number. We can express 6262 as a multiple of 1414 to find the simplest fraction.\newline6262 is not a multiple of 1414, so we cannot express 6214\frac{62}{14} as a fraction of whole numbers. However, we can simplify the decimal to a fraction.
  6. Convert Decimal to Fraction: Convert the decimal to a fraction. 4.428571428574.42857142857\ldots is approximately 4 374\ \frac{3}{7} when expressed as a mixed number. To convert this to an improper fraction, we multiply the whole number 44 by the denominator 77 and add the numerator 33. (4×7)+3=31(4 \times 7) + 3 = 31 So, the fraction is 317\frac{31}{7}.
  7. Check Multiplication: Check if 317\frac{31}{7}, when multiplied by 1414, gives us 6262.(317)×14=31×2=62\left(\frac{31}{7}\right) \times 14 = 31 \times 2 = 62

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