2.2 as a Fraction – 11/5 (2 1/5), with Steps

Q: What is 2.2 as a fraction?

2.2 as a fraction is 11/5, or 2 1/5 as a mixed number. 2.2 has 1 decimal place, so write the digits over 10: 22/10. Divide the top and bottom by 2 (their greatest common factor) to get 11/5.

Q: What is 2.2 as a percent?

2.2 is 220%: multiply by 100 (move the decimal point two places to the right).

2.2 as a Fraction

2.2 as a fraction is 11/5, or 2 1/5 as a mixed number.

Result

Answer

2.2 = \textcolor{#0b5c56}{\frac{11}{5} = 2\frac{1}{5}}

2.2 as a fraction is 11/5, or 2 1/5 as a mixed number.

Mixed number: \displaystyle 2\frac{1}{5}
Percent: 220%

Step-by-step solution

The problem

2.2

Write the digits over 10. 2.2 has 1 decimal place, so put the digits (without the point) over 1 followed by 1 zero.
= \textcolor{#0b5c56}{\frac{22}{10}}
Simplify. List the factors of each:
Factors of 22: 1, 2, 11, 22
Factors of 10: 1, 2, 5, 10
The greatest common factor (GCF) is 2. Divide the top and bottom by 2.
= \frac{22 \div 2}{10 \div 2} = \textcolor{#0b5c56}{\frac{11}{5}}
Write it as a mixed number. 11 ÷ 5 = 2 remainder 1: the whole number is 2 and 1 is the new numerator.
11 \div 5 = 2\ \text{R}\ 1
= \textcolor{#0b5c56}{2\frac{1}{5}}

All the working together

\begin{aligned} &2.2 \\[8pt]  &= \frac{22}{10} && \textcolor{#5b6660}{\textsf{over 10}} \\[8pt]  &= \frac{22 \div 2}{10 \div 2} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt]  &= \frac{11}{5} \\[8pt]  &= \textcolor{#0b5c56}{2\frac{1}{5}} && \textcolor{#5b6660}{\textsf{mixed number}}\end{aligned}

2.2 in other forms

Fraction (simplest form)	11/5
Mixed number	2 1/5
Before simplifying	22/10
Percent	220%
The other way	11/5 as a decimal

Nearby decimals as fractions

Decimal	Fraction	Percent
1.9	19/10	190%
1.95	39/20	195%
2.05	41/20	205%
2.1	21/10	210%
2.15	43/20	215%
2.2	11/5	220%
2.25	9/4	225%
2.3	23/10	230%
2.35	47/20	235%
2.4	12/5	240%
2.45	49/20	245%

Frequently asked questions

What is 2.2 as a fraction?

2.2 as a fraction is 11/5, or 2 1/5 as a mixed number. 2.2 has 1 decimal place, so write the digits over 10: 22/10. Divide the top and bottom by 2 (their greatest common factor) to get 11/5.

What is 2.2 as a percent?

2.2 is 220%: multiply by 100 (move the decimal point two places to the right).

Is 11/5 the simplest form?

Yes. 11 and 5 have no common factor other than 1, because the greatest common factor 2 was divided out of 22/10.

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.