Fraction calculators

Mixed Number Calculator

Enter mixed numbers the way you read them — 2 1/4 — and get the regrouping, the common denominators, and the simplified answer shown step by step. Converters below turn any result into its improper-fraction or decimal form.

  • add, subtract, convert
  • enter 2 1/4 with a space
  • improper and decimal forms
  • answers simplified

Visual subtraction tool

See how fraction parts become ready to subtract

Make the parts match, regroup one whole when you need more pieces, then take away the second amount.

Type the full expression

Examples: 3/4 - 1/6, 2 - 3/4, or 2 1/4 - 1 2/3.

Visual explanation

Notice the part sizes

notice

The fractions name different-sized pieces, so they are not ready to subtract yet.

First amount9/4

2 wholes

Amount to take away5/3

1 whole

1/4 part
1/3 part

These pieces are not the same size yet.

What it computes

Four things, all simplified

CapabilityHow it worksExample
Add and subtract mixed numbersEnter two mixed numbers — or mixed with fractions and wholes — and watch the regrouping happen bar by bar.2 1/4 − 1 2/3 = 7/12
Convert to improper fractionsThe multiply-add-keep formula turns 2 3/4 into 11/4 and back, with the remainder shown.2 3/4 = 11/4
Convert to decimalsAny mixed number reads as a decimal: the fraction part divides out, 3/4 = 0.75.2 3/4 = 2.75
Compare mixed numbersSame denominators or not, see which mixed number sits further along the number line.2 1/2 > 2 1/3

How to enter a problem

Four steps: type, operate, read, convert

1. Type the whole number, a space, then the fraction

Mixed numbers read as 2 1/4 — whole first, one space, then numerator/denominator. The calculator also accepts improper entries like 9/4 and plain wholes like 2.

2. Pick the operation and the second number

Use − for subtraction, + for addition, × and ÷ where the guides support them. This page’s tool focuses on the subtraction case, which needs regrouping most often.

3. Read the simplified answer

Results finish in lowest terms, with improper fractions regrouped into mixed numbers: 2 1/4 − 1 2/3 gives 7/12, and 1 1/2 − 1/2 gives the whole number 1.

4. Convert the answer if the question asks

The converters below turn any answer into its improper-fraction or decimal form — 7/12 stays 7/12, but 1 1/2 becomes 3/2 or 1.5 on request.

Interactive calculator

Mixed Number to Improper Fraction Calculator

Rewrite the same amount in either direction and see the multiplication, addition, division, and remainder steps.

Conversion direction

Try an example

Result

2 3/4

= (2 × 4 + 3)/4

= 11/4

Both forms use the same pieces; only the writing changes.
Mixed form: 2 wholes and 3/411/4
Improper form: count every selected part11/4

Light and dark blue separate complete wholes from the leftover part. The selected pieces never move; the notation changes.

Interactive calculator

Mixed Number to Decimal Calculator

Keep the whole number, convert the fractional part, and see every step before the final decimal.

Try an example

Result

2 3/4

= 11/4

= 2 + 3 ÷ 4

= 2.75

Keep the same pieces visible before reading their decimal value.
Mixed form: 2 wholes and 3/411/4
Improper form: count every selected part11/4

Light and dark blue separate complete wholes from the leftover part. The selected pieces never move; the notation changes.

What the calculator does inside

For 2 1/4 − 1 2/3, the tool matches the fraction parts first — quarters and thirds become twelfths — then regroups one whole because 3/12 cannot cover 8/12: 2 3/12 becomes 1 15/12. Subtracting leaves 7/12, already in lowest terms. Every step is the same arithmetic the guides teach, shown so the answer can be checked rather than just copied.

The converters run the companion skills. The improper converter applies multiply-add-keep (2 3/4 → (2 × 4 + 3)/4 = 11/4), and the decimal converter divides the fraction part out (3/4 = 0.75, so 2 3/4 = 2.75). Between the three tools, a mixed number can enter in any form and leave in any form.

Learn the regrouping method the calculator follows

Common questions

Mixed Number Calculator FAQ

Type the first mixed number (2 1/4), the operation (− or +), and the second number, then read the step-by-step result. The tool regroups wholes automatically: 2 1/4 − 1 2/3 shows 2 3/12 − 1 8/12 = 1 15/12 − 1 8/12 = 7/12.