2.75 as a Fraction

2.75 as a fraction is 11/4, or 2 3/4 as a mixed number.

Result

Answer

2.75 = \textcolor{#0b5c56}{\frac{11}{4} = 2\frac{3}{4}}

2.75 as a fraction is 11/4, or 2 3/4 as a mixed number.

  • Mixed number: \displaystyle 2\frac{3}{4}
  • Percent: 275%
232 3/4

Step-by-step solution

The problem

2.75

  1. Write the digits over 100. 2.75 has 2 decimal places, so put the digits (without the point) over 1 followed by 2 zeros.

    = \textcolor{#0b5c56}{\frac{275}{100}}

  2. Simplify. Write both as prime factors:\begin{aligned} 275 &= 5^{2} \times 11 \\[6pt] 100 &= 2^{2} \times 5^{2} \end{aligned}The factors they share give the greatest common factor (GCF): \displaystyle 5^{2} = 25. Divide the top and bottom by 25.

    = \frac{275 \div 25}{100 \div 25} = \textcolor{#0b5c56}{\frac{11}{4}}

  3. Write it as a mixed number. 11 ÷ 4 = 2 remainder 3: the whole number is 2 and 3 is the new numerator.

    11 \div 4 = 2\ \text{R}\ 3
    = \textcolor{#0b5c56}{2\frac{3}{4}}

All the working together

\begin{aligned} &2.75 \\[8pt] &= \frac{275}{100} && \textcolor{#5b6660}{\textsf{over 100}} \\[8pt] &= \frac{275 \div 25}{100 \div 25} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt] &= \frac{11}{4} \\[8pt] &= \textcolor{#0b5c56}{2\frac{3}{4}} && \textcolor{#5b6660}{\textsf{mixed number}}\end{aligned}

2.75 in other forms

Fraction (simplest form)11/4
Mixed number2 3/4
Before simplifying275/100
Percent275%
The other way11/4 as a decimal

Nearby decimals as fractions

DecimalFractionPercent
2.55/2250%
2.5551/20255%
2.613/5260%
2.6553/20265%
2.727/10270%
2.7511/4275%
2.814/5280%
2.8557/20285%
2.929/10290%
2.9559/20295%
3.0561/20305%

Frequently asked questions

What is 2.75 as a fraction?

2.75 as a fraction is 11/4, or 2 3/4 as a mixed number. 2.75 has 2 decimal places, so write the digits over 100: 275/100. Divide the top and bottom by 25 (their greatest common factor) to get 11/4.

What is 2.75 as a percent?

2.75 is 275%: multiply by 100 (move the decimal point two places to the right).

Is 11/4 the simplest form?

Yes. 11 and 4 have no common factor other than 1, because the greatest common factor 25 was divided out of 275/100.

More decimals as fractions

Any other decimal, including longer repeating ones: use the Decimal to Fraction Calculator, or look it up on the printable fraction chart.