What is a mixed number?

A mixed number is a number that combines a whole number and a fraction, representing amounts that are more than a whole but include a fractional part.

Convert the improper fraction 9/4 to a mixed number.

9/4 can be converted to a mixed number by dividing 9 by 4, which gives 2 with a remainder of 1. Therefore, 9/4 = 2 ¼.

What is the whole number part of the mixed number 5 ⅗?

The whole number part of the mixed number 5 ⅗ is 5.

Fill in the blank: The denominator of a fraction indicates how many ___ make up one whole.

Equal parts

True or False: The mixed number 3 ¾ is equal to the improper fraction 15/4.

True

How do you add the mixed numbers 1 ½ and 2 ⅔?

Add mixed numbers by finding common denominators.

• Convert to improper fractions.

• Sum whole numbers and fractions.

• Combine results for final answer.

What does the numerator of a fraction represent?

The numerator of a fraction represents the number of parts of the whole that are being considered.

Convert the mixed number 4 ⅗ to an improper fraction.

To convert 4 ⅗ to an improper fraction, multiply 4 by 5 (which equals 20) and then add 3. The result is 23, so 4 ⅗ = 23/5.

Fill in the blank: Mixed numbers are often used in ___ and recipes.

Cooking

True or False: When adding mixed numbers, the fractions must always have the same denominator.

True

What is the result of subtracting 2 ¼ from 5 ¾?

3 ½

The result is three and a half.

• Find a common denominator.

• Subtract whole numbers first.

• Combine results for final answer.

What is the term for a fraction where the numerator is greater than or equal to the denominator?

Improper fraction

Fill in the blank: The mixed number 3 ⅔ is between ___ and ___.

3 and 4

Convert the improper fraction 17/3 to a mixed number.

Divide 17 by 3, which gives 5 with a remainder of 2. Therefore, 17/3 = 5 ²/₃.

What is the process for comparing two mixed numbers?

Compare whole numbers first.

• Identify whole number parts.

• Larger whole number is greater.

• Compare fractions if whole numbers are equal.

Fill in the blank: To represent the mixed number 2 ¾ on a number line, you would place a point between ___ and ___.

2 and 3

True or False: You can add whole numbers and fractions separately without regrouping.

False. Regrouping may be necessary if the sum of the fractions exceeds one whole.

What is the sum of 3 ⅖ and 1 ⅗?

Add the whole numbers: 3 + 1 = 4. Add the fractions: ⅖ + ⅗ = 1. Therefore, 3 ⅖ + 1 ⅗ = 4.

Fill in the blank: The process of converting a mixed number to an improper fraction involves multiplying the whole number by the ___ and adding the numerator.

Denominator

What does the fraction part of a mixed number represent?

The fraction part represents the additional portion of the next whole unit.

Convert the improper fraction 17/5 to a mixed number.

To convert 17/5 to a mixed number, divide 17 by 5, which equals 3 with a remainder of 2. Therefore, 17/5 = 3 ²/₅.

What is the sum of the mixed numbers 2 ¼ and 3 ½?

The sum is 5 ¾.

• Add whole numbers first.

• Find common denominator for fractions.

• Combine results for final answer.

When subtracting 4 ¼ from 1 ¾, what is the result?

Result is negative three three-fourths.

• Requires regrouping to subtract.

• 1 ¾ is less than 4 ¼.

• Final result is negative.