Mixed Number — 3 2/3 — free printable diagram

What is 3 2/3 as an improper fraction?

3 2/3 is a mixed number — 3 wholes and two thirds. Written as an improper fraction it is 11/3, and as a decimal it is about 3.667.

Mixed number

3 2/3

Improper fraction

11/3

Whole part

3

Fraction part

2/3

As a decimal

≈ 3.667

• To turn a mixed number into an improper fraction, multiply the whole number by the denominator and add the numerator, keeping the same denominator: (3 × 3) + 2 = 11, so 3 2/3 = 11/3.
• Going the other way, divide the top by the bottom: 11 ÷ 3 = 3 remainder 2, which is 3 wholes and 2/3 left over.
• As a decimal, 3 2/3 is about 3.667.
• The picture shows 3 complete shapes shaded plus two thirds of one more, which is what a mixed number is: a whole number and a fraction written together.