Q. As a fraction in simplest terms, what would you multiply the first number by to get the second?First number: 14 Second number: 6214⋅□=62
Identify Numbers and Operation: Identify the numbers involved and the operation required.We need to find a fraction that, when multiplied by 14, gives us 62.
Set Up Equation: Set up the equation to solve for the fraction.Let the fraction be represented by x. The equation is then 14×x=62.
Solve for x: Solve for x by dividing both sides of the equation by 14.x=1462
Perform Division: Perform the division to find the value of x.x=1462x=4.42857142857…
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 62 as a multiple of 14 to find the simplest fraction.62 is not a multiple of 14, so we cannot express 1462 as a fraction of whole numbers. However, we can simplify the decimal to a fraction.
Convert Decimal to Fraction: Convert the decimal to a fraction. 4.42857142857… is approximately 473 when expressed as a mixed number. To convert this to an improper fraction, we multiply the whole number 4 by the denominator 7 and add the numerator 3. (4×7)+3=31 So, the fraction is 731.
Check Multiplication: Check if 731, when multiplied by 14, gives us 62.(731)×14=31×2=62
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