Mixed Number — 1 3/4 — free printable diagram

What is 1 3/4 as an improper fraction?

1 3/4 is a mixed number — 1 whole and three quarters. Written as an improper fraction it is 7/4, and as a decimal it is 1.75.

Mixed number

1 3/4

Improper fraction

7/4

Whole part

1

Fraction part

3/4

As a decimal

1.75

• To turn a mixed number into an improper fraction, multiply the whole number by the denominator and add the numerator, keeping the same denominator: (1 × 4) + 3 = 7, so 1 3/4 = 7/4.
• Going the other way, divide the top by the bottom: 7 ÷ 4 = 1 remainder 3, which is 1 whole and 3/4 left over.
• As a decimal, 1 3/4 = 1.75.
• The picture shows 1 complete shape shaded plus three quarters of one more, which is what a mixed number is: a whole number and a fraction written together.