Simplifying ratios involving fractions | Summary and Q&A

TL;DR

Learn how to simplify ratios involving fractions by finding a common denominator and forming equivalent fractions.

Key Insights

• 🥳 Simplifying ratios with fractions involves finding a common denominator and forming equivalent fractions.
• ✖️ Multiplying the numerator and denominator of a fraction by the same number maintains the fraction's value.
• 🥳 Canceling out common factors between the numerators can simplify the ratio further.
• 🥳 Understanding how to convert between mixed numbers and improper fractions is essential for simplifying ratios accurately.
• 🥳 The process of simplifying ratios with fractions can be applied to various mathematical problems and real-life scenarios.
• 🥳 Practice and familiarity with fractions are crucial for mastering the techniques of simplifying ratios.
• 🥳 Utilizing shortcuts and tricks can help simplify ratios more efficiently.

Transcript

good day in this video we're going to be simplifying ratios that involve fractions and it's a pretty simple thing to do you pardon the pun but uh like all things it just has its couple little tricks so this is the type of question you get asked with these uh so say for instance you are asked to simplify the following ratio uh 2 fths is 2 710 okay s... Read More

Questions & Answers

Q: How do you simplify a ratio involving fractions?

To simplify a ratio with fractions, find the lowest common denominator and change each fraction to an equivalent fraction with that denominator.

Q: What is the process for finding the lowest common denominator?

Compare the denominators and find the smallest number that both denominators can divide evenly into.

Q: What happens if the fractions in the ratio have different denominators?

Convert all fractions to equivalent fractions with a common denominator to make them comparable.

Q: How do you simplify the ratio further if there are common factors between the numerators?

Divide both the numerator and denominator by the common factor to simplify the ratio.

Summary & Key Takeaways

• To simplify a ratio with fractions, find the lowest common denominator and convert the fractions to equivalent fractions with that denominator.

• Multiply the numerator and denominator of each fraction by the same number to maintain equivalence.

• Cancel out any common factors between the numerators and simplify the ratio further if possible.