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Prime Factoring 2 - Sample Math Practice Problems
The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.
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Complexity=30, Mode=reduce
Step 1. Give in the numerator and denominator expressed in terms
of their prime factors.
Step 2. Leave out common factors and put the remaining factors.
Step 3. Multiply the factors back out to give the final reduced fraction.
e.g. 25/70 = (52) / (2 * 5 * 7) = 5 / (2 * 7) = 5/14
Your typed answers should something like the parts between equal signs here:
25/70 = (5^2)/(2 * 5 * 7) = 5/(2 * 7) = 5/14
Answers
Complexity=30, Mode=fraction
Convert the fraction so that both the numerator and denominator
are expressed in terms of their prime factors. Do not simplify.
Example: 12/25 = (2^2 * 3) / (5^2)
Complexity=30, Mode=reduce
Step 1. Give in the numerator and denominator expressed in terms
of their prime factors.
Step 2. Leave out common factors and put the remaining factors.
Step 3. Multiply the factors back out to give the final reduced fraction.
e.g. 25/70 = (52) / (2 * 5 * 7) = 5 / (2 * 7) = 5/14
Your typed answers should something like the parts between equal signs here:
25/70 = (5^2)/(2 * 5 * 7) = 5/(2 * 7) = 5/14
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