Converting Mixed Numbers to Improper Fractions

6 Questions

What is the first step in converting a mixed number to an improper fraction?

Multiply the denominator by the whole number part

Convert the mixed number 3 2/5 to an improper fraction.

17/5

What is the advantage of using mixed numbers in real-world applications?

They are often used in real-world applications, such as cooking or measurement, because they are more intuitive and easy to understand.

Compare the mixed number 1 3/4 and the improper fraction 7/4. Are they equal?

Yes, they are equal.

What is the purpose of converting a mixed number to an improper fraction when comparing them?

To compare the numerators and denominators of the two fractions.

Convert the mixed number 2 5/6 to an improper fraction.

17/6

Study Notes

Converting Mixed Numbers to Improper Fractions

A mixed number is a combination of a whole number and a proper fraction, e.g., 2 3/4
To convert a mixed number to an improper fraction:
1. Multiply the denominator by the whole number part
2. Add the numerator to the product
3. Write the result as an improper fraction

Example: + Convert 2 3/4 to an improper fraction + Multiply denominator (4) by whole number part (2): 4 × 2 = 8 + Add numerator (3) to the product: 8 + 3 = 11 + Write as an improper fraction: 11/4

Comparing Mixed and Improper Fractions

Mixed numbers and improper fractions are two ways to express the same value
Mixed numbers are often used in real-world applications, such as cooking or measurement
Improper fractions are often used in mathematical operations, such as addition and subtraction
To compare mixed numbers and improper fractions:
- Convert the mixed number to an improper fraction
- Compare the numerators and denominators of the two fractions

Example: + Compare 2 3/4 and 11/4 + Convert 2 3/4 to an improper fraction: 11/4 + Compare numerators (11) and denominators (4): they are the same, so the fractions are equal