1.2 as a Fraction – 6/5 (1 1/5), with Steps

Q: What is 1.2 as a fraction?

1.2 as a fraction is 6/5, or 1 1/5 as a mixed number. 1.2 has 1 decimal place, so write the digits over 10: 12/10. Divide the top and bottom by 2 (their greatest common factor) to get 6/5.

Q: What is 1.2 as a percent?

1.2 is 120%: multiply by 100 (move the decimal point two places to the right).

1.2 as a Fraction

1.2 as a fraction is 6/5, or 1 1/5 as a mixed number.

Result

Answer

1.2 = \textcolor{#0b5c56}{\frac{6}{5} = 1\frac{1}{5}}

1.2 as a fraction is 6/5, or 1 1/5 as a mixed number.

Mixed number: \displaystyle 1\frac{1}{5}
Percent: 120%

Step-by-step solution

The problem

1.2

Write the digits over 10. 1.2 has 1 decimal place, so put the digits (without the point) over 1 followed by 1 zero.
= \textcolor{#0b5c56}{\frac{12}{10}}
Simplify. List the factors of each:
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 10: 1, 2, 5, 10
The greatest common factor (GCF) is 2. Divide the top and bottom by 2.
= \frac{12 \div 2}{10 \div 2} = \textcolor{#0b5c56}{\frac{6}{5}}
Write it as a mixed number. 6 ÷ 5 = 1 remainder 1: the whole number is 1 and 1 is the new numerator.
6 \div 5 = 1\ \text{R}\ 1
= \textcolor{#0b5c56}{1\frac{1}{5}}

All the working together

\begin{aligned} &1.2 \\[8pt]  &= \frac{12}{10} && \textcolor{#5b6660}{\textsf{over 10}} \\[8pt]  &= \frac{12 \div 2}{10 \div 2} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt]  &= \frac{6}{5} \\[8pt]  &= \textcolor{#0b5c56}{1\frac{1}{5}} && \textcolor{#5b6660}{\textsf{mixed number}}\end{aligned}

1.2 in other forms

Fraction (simplest form)	6/5
Mixed number	1 1/5
Before simplifying	12/10
Percent	120%
The other way	6/5 as a decimal

Nearby decimals as fractions

Decimal	Fraction	Percent
1.05	21/20	105%
1.1	11/10	110%
1.15	23/20	115%
1.2	6/5	120%
1.25	5/4	125%
1.3	13/10	130%
1.35	27/20	135%
1.4	7/5	140%
1.45	29/20	145%
1.5	3/2	150%
1.55	31/20	155%

Frequently asked questions

What is 1.2 as a fraction?

1.2 as a fraction is 6/5, or 1 1/5 as a mixed number. 1.2 has 1 decimal place, so write the digits over 10: 12/10. Divide the top and bottom by 2 (their greatest common factor) to get 6/5.

What is 1.2 as a percent?

1.2 is 120%: multiply by 100 (move the decimal point two places to the right).

Is 6/5 the simplest form?

Yes. 6 and 5 have no common factor other than 1, because the greatest common factor 2 was divided out of 12/10.

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.