Mixed Number — 3 1/4 — free printable diagram

What is 3 1/4 as an improper fraction?

3 1/4 is a mixed number — 3 wholes and one quarter. Written as an improper fraction it is 13/4, and as a decimal it is 3.25.

Mixed number

3 1/4

Improper fraction

13/4

Whole part

3

Fraction part

1/4

As a decimal

3.25

• 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 × 4) + 1 = 13, so 3 1/4 = 13/4.
• Going the other way, divide the top by the bottom: 13 ÷ 4 = 3 remainder 1, which is 3 wholes and 1/4 left over.
• As a decimal, 3 1/4 = 3.25.
• The picture shows 3 complete shapes shaded plus one quarter of one more, which is what a mixed number is: a whole number and a fraction written together.