Elementary Algebra Q4 | Pierce College math assessment sample MDTP | Summary and Q&A

TL;DR

Learn how to subtract fractions with different denominators by finding the lowest common multiple (LCM) and making equivalent fractions.

Key Insights

• ❓ Subtracting fractions with different denominators requires finding the LCM to make equivalent fractions.
• 👂 The LCM is found by listing the multiples of each denominator and finding the common multiple.
• ✖️ To make equivalent fractions, multiply the numerator and denominator of each fraction by the same number.

Transcript

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Questions & Answers

Q: How do you subtract fractions with different denominators?

To subtract fractions with different denominators, find the LCM of the denominators, make equivalent fractions, subtract the numerators, and keep the denominator the same.

Q: How do you find the LCM of two numbers?

To find the LCM of two numbers, list the multiples of each number and find the smallest common multiple. In this case, list the multiples of the denominators and find their common multiple.

Q: What do you do to make equivalent fractions?

To make equivalent fractions, multiply both the numerator and denominator of each fraction by the same number. This ensures that the fractions have the same denominator and can be subtracted.

Q: How do you simplify the resulting fraction?

To simplify the resulting fraction, find the greatest common factor (GCF) of the numerator and denominator. Divide both by the GCF to reduce the fraction to its simplest form.

Summary & Key Takeaways

• When subtracting fractions with different denominators, find the LCM of the denominators to make equivalent fractions.

• To find the LCM, list the multiples of each denominator and find the common multiple.

• Multiply both the numerator and denominator of each fraction by the same number to make equivalent fractions.

• Subtract the numerators and keep the denominator the same. Simplify the resulting fraction if possible.