Subtracting Mixed Numbers and Fractions

TL;DR

Learn how to subtract mixed numbers and fractions, including examples with common denominators and unlike denominators.

Transcript

in this video we're going to talk about how to subtract mixed numbers and fractions so let's start with a simple example what is five and four-sevenths minus three over seven what's the answer so all we need to do because we have common denominators is we need to subtract these two fractions so 4 over 7 minus 3 over seven is one over seven so the f... Read More

Key Insights

• ❓ Subtraction of fractions with common denominators involves subtracting the numerators and keeping the common denominator.
• #️⃣ Mixed numbers can be expanded into a sum of a whole number and a fraction.
• ❎ Borrowing is necessary when subtracting fractions that result in a negative answer.

Questions & Answers

Q: How do you subtract fractions with common denominators?

To subtract fractions with common denominators, simply subtract the numerators and keep the common denominator. For example, 4/7 - 3/7 = 1/7.

Q: How do you subtract mixed numbers and fractions with common denominators?

Expand the mixed number into a sum of a whole number and a fraction. Subtract the fractions and simplify if necessary. For example, 5 and 4/9 - 8/9 = 5 and 5/9.

Q: What do you do when the result of subtracting fractions is negative?

In this case, you need to borrow 1 from the whole number. Expand the mixed number, convert 1 to the common denominator, and then subtract the fractions. For example, 6 and 4/9 - 8/9 becomes 5 + 9/9 + 4/9 - 8/9 = 5 and 5/9.

Q: How do you subtract mixed numbers and fractions with unlike denominators?

Find the least common denominator (LCD) and convert the fractions to the LCD. Subtract the fractions and simplify if necessary. For example, 7 and 8/9 - 4/5 = 7 and 17/45.

Summary & Key Takeaways

• In this video, the process of subtracting mixed numbers and fractions is explained.

• Common denominators are used to subtract fractions with the same denominator.

• Borrowing is necessary when subtracting fractions with unlike denominators.