Mixed Number — 2 3/4 — free printable diagram

What is 2 3/4 as an improper fraction?

2 3/4 is a mixed number — 2 wholes and three quarters. Written as an improper fraction it is 11/4, and as a decimal it is 2.75.

Mixed number

2 3/4

Improper fraction

11/4

Whole part

2

Fraction part

3/4

As a decimal

2.75

• To turn a mixed number into an improper fraction, multiply the whole number by the denominator and add the numerator, keeping the same denominator: (2 × 4) + 3 = 11, so 2 3/4 = 11/4.
• Going the other way, divide the top by the bottom: 11 ÷ 4 = 2 remainder 3, which is 2 wholes and 3/4 left over.
• As a decimal, 2 3/4 = 2.75.
• The picture shows 2 complete shapes shaded plus three quarters of one more, which is what a mixed number is: a whole number and a fraction written together.