Mixed Number Calculator
Mixed number to convert
Enter a mixed number, such as 5 and 3/8, to convert it
to a decimal and an improper fraction.
Decimal value
awaiting inputAwaiting input.
Enter a mixed number to convert.
- Improper fraction
- —
- Simplified fraction part
- —
- Percentage
- —
To convert a mixed number to a decimal, convert the fractional part to a decimal and add it to the whole number. 5 3/8 has a fractional part of 3/8 = 0.375, so the full value is 5 + 0.375 = 5.375.
A Whole Number Plus a Fraction
A mixed number combines a whole number and a proper fraction into one value, such as 5 3/8 — five whole units plus three-eighths more.
It's the same value as the improper fraction 43/8, just split apart for readability. Tape measures, recipes and everyday measurements almost always use mixed-number notation rather than an improper fraction, because "5 3/8 inches" is easier to picture than "43/8 inches" even though they mean exactly the same length.
The Mixed Number Formula
Two formulas cover both directions — to decimal, and to an improper fraction.
Q is the decimal value: the whole number plus the fraction's decimal value. Imp is the improper-fraction numerator, over the same denominator D.
- WThe whole number part, such as 5 in 5 3/8.
- NThe numerator of the fractional part, such as 3 in 5 3/8.
- DThe denominator of the fractional part, such as 8 in 5 3/8.
- QThe decimal value: W + (N ÷ D).
Worked calculation — 5 3/8
- 3 ÷ 8 = 0.375Convert the fractional part to a decimal
- 5 + 0.375 = 5.375Add the whole number
- (5 × 8) + 3 = 43For the improper fraction, multiply and add
5 3/8 = 5.375 = 43/8
Common Mixed Numbers as Decimals
Mixed numbers that come up constantly in measuring and cooking.
| Mixed number | Decimal |
|---|---|
| 1 1/2 | 1.5 |
| 2 3/4 | 2.75 |
| 3 1/8 | 3.125 |
| 5 3/8 | 5.375 |
| 7 5/16 | 7.3125 |
| 10 1/4 | 10.25 |
Converting Without a Calculator
- Convert only the fractional part to a decimal. For 7 5/16, that's 5 ÷ 16 = 0.3125.
- Add the whole number back on. 7 + 0.3125 = 7.3125.
- For an improper fraction instead, multiply the whole number by the denominator and add the numerator. (7 × 16) + 5 = 117, giving 117/16.
Frequently Asked Questions
What is 2 3/4 as a decimal?
2 3/4 as a decimal is 2.75. Convert the fractional part alone — 3/4 = 0.75 — then add it to the whole number: 2 + 0.75 = 2.75.
How do you turn a mixed number into an improper fraction?
Multiply the whole number by the denominator, add the numerator, then place that sum over the original denominator. For 2 3/4: (2 × 4) + 3 = 11, giving the improper fraction 11/4.
How do you turn an improper fraction back into a mixed number?
Divide the numerator by the denominator. The whole-number part of the answer becomes the mixed number's whole number, and the remainder — placed over the original denominator — becomes the fractional part. 11 ÷ 4 = 2 remainder 3, so 11/4 becomes 2 3/4.
Can a mixed number have an improper fraction as its fractional part?
No — in standard notation, the fractional part of a mixed number is always a proper fraction, with a numerator smaller than the denominator. If a calculation produces something like 2 5/4, it gets rewritten by carrying the extra whole unit forward: 5/4 = 1 1/4, so 2 5/4 becomes 3 1/4.
What is 5 3/8 in inches as a decimal?
5 3/8" equals 5.375" as a decimal. This is one of the standard fractional-inch markings found on any tape measure, since eighths are one of the common ruler graduations.
Decimal & Fraction Tools
Every other calculator in this cluster, one click away.