2.6 as a Fraction – 13/5 (2 3/5), with Steps

Q: What is 2.6 as a fraction?

2.6 as a fraction is 13/5, or 2 3/5 as a mixed number. 2.6 has 1 decimal place, so write the digits over 10: 26/10. Divide the top and bottom by 2 (their greatest common factor) to get 13/5.

Q: What is 2.6 as a percent?

2.6 is 260%: multiply by 100 (move the decimal point two places to the right).

2.6 as a Fraction

2.6 as a fraction is 13/5, or 2 3/5 as a mixed number.

Result

Answer

2.6 = \textcolor{#0b5c56}{\frac{13}{5} = 2\frac{3}{5}}

2.6 as a fraction is 13/5, or 2 3/5 as a mixed number.

Mixed number: \displaystyle 2\frac{3}{5}
Percent: 260%

Step-by-step solution

The problem

2.6

Write the digits over 10. 2.6 has 1 decimal place, so put the digits (without the point) over 1 followed by 1 zero.
= \textcolor{#0b5c56}{\frac{26}{10}}
Simplify. List the factors of each:
Factors of 26: 1, 2, 13, 26
Factors of 10: 1, 2, 5, 10
The greatest common factor (GCF) is 2. Divide the top and bottom by 2.
= \frac{26 \div 2}{10 \div 2} = \textcolor{#0b5c56}{\frac{13}{5}}
Write it as a mixed number. 13 ÷ 5 = 2 remainder 3: the whole number is 2 and 3 is the new numerator.
13 \div 5 = 2\ \text{R}\ 3
= \textcolor{#0b5c56}{2\frac{3}{5}}

All the working together

\begin{aligned} &2.6 \\[8pt]  &= \frac{26}{10} && \textcolor{#5b6660}{\textsf{over 10}} \\[8pt]  &= \frac{26 \div 2}{10 \div 2} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt]  &= \frac{13}{5} \\[8pt]  &= \textcolor{#0b5c56}{2\frac{3}{5}} && \textcolor{#5b6660}{\textsf{mixed number}}\end{aligned}

2.6 in other forms

Fraction (simplest form)	13/5
Mixed number	2 3/5
Before simplifying	26/10
Percent	260%
The other way	13/5 as a decimal

Nearby decimals as fractions

Decimal	Fraction	Percent
2.35	47/20	235%
2.4	12/5	240%
2.45	49/20	245%
2.5	5/2	250%
2.55	51/20	255%
2.6	13/5	260%
2.65	53/20	265%
2.7	27/10	270%
2.75	11/4	275%
2.8	14/5	280%
2.85	57/20	285%

Frequently asked questions

What is 2.6 as a fraction?

2.6 as a fraction is 13/5, or 2 3/5 as a mixed number. 2.6 has 1 decimal place, so write the digits over 10: 26/10. Divide the top and bottom by 2 (their greatest common factor) to get 13/5.

What is 2.6 as a percent?

2.6 is 260%: multiply by 100 (move the decimal point two places to the right).

Is 13/5 the simplest form?

Yes. 13 and 5 have no common factor other than 1, because the greatest common factor 2 was divided out of 26/10.

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.