Subtracting mixed numbers with unlike denominators with regroup

What is a mixed number?

• A whole number only, such as 2.

• A fraction only, such as 3/4.

• A whole number combined with a fraction, such as 2 3/4.

• A decimal number, such as 2.75.

What does it mean to simplify a fraction?

• To convert a fraction into a decimal form.

• To reduce a fraction to its lowest terms, where the numerator and denominator have no common factors other than 1.

• To multiply the numerator and denominator by the same number.

• To add the numerator and denominator together.

What is a common denominator?

• A shared multiple of the denominators of two or more fractions, allowing them to be added or subtracted.

• A number that is the same as the numerator in a fraction.

• The largest denominator among a set of fractions.

• A fraction that has a value of one.

What is regrouping in subtraction?

• A method of adding numbers together

• A technique for borrowing from a higher place value to subtract a smaller place value

• A way to simplify fractions

• A process of rounding numbers to the nearest ten

What is the first step in subtracting mixed numbers?

• Convert the mixed numbers to improper fractions.

• Add the whole numbers together first.

• Subtract the whole numbers first.

• Convert the improper fractions to mixed numbers.

What is an improper fraction?

• A fraction where the numerator is less than the denominator, such as 3/4.

• A fraction where the numerator is equal to the denominator, such as 5/5.

• A fraction where the numerator is greater than or equal to the denominator, such as 9/4.

• A fraction that cannot be simplified further.

What is the process of subtracting fractions with unlike denominators?

• 1. Find the least common denominator, convert each fraction to an equivalent fraction with the LCD, and subtract the numerators while keeping the common denominator.

• 2. Add the numerators and denominators of the fractions directly.

• 3. Multiply both fractions by their denominators and then subtract the results.

• 4. Convert both fractions to decimals and then subtract them.