Q. As a fraction in simplest terms, what would you multiply the first number by to get the second?First number: 22 Second number: 7222⋅□=72
Divide to Find Ratio: To find the fraction that you multiply by the first number 22 to get the second number 72, you need to divide the second number by the first number.Calculation: 2272=3.272727...
Express as Fraction: The result of the division is a repeating decimal, which means we need to express it as a fraction. To do this, we can write the repeating decimal as a fraction with a numerator and denominator that represent the repeating pattern.Calculation: Since the repeating pattern is 27, we can express the fraction as 9927, which is the fraction form of the repeating decimal 0.272727...
Simplify Fraction: Now we need to simplify the fraction 9927 to its simplest form by finding the greatest common divisor (GCD) of the numerator and the denominator and then dividing both by that number.Calculation: The GCD of 27 and 99 is 27. So, we divide both the numerator and the denominator by 27.2727=1 and 2799=3.7
Correct Division: We correct the previous step by dividing 99 by 27 properly.Calculation: 99/27=3.666… which is incorrect because 99 is exactly divisible by 27.Correct Calculation: 99/27=3.7 is incorrect, the correct calculation is 99/27=3.
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