2.4 as a Fraction – 12/5 (2 2/5), with Steps

Q: What is 2.4 as a fraction?

2.4 as a fraction is 12/5, or 2 2/5 as a mixed number. 2.4 has 1 decimal place, so write the digits over 10: 24/10. Divide the top and bottom by 2 (their greatest common factor) to get 12/5.

Q: What is 2.4 as a percent?

2.4 is 240%: multiply by 100 (move the decimal point two places to the right).

2.4 as a Fraction

2.4 as a fraction is 12/5, or 2 2/5 as a mixed number.

Result

Answer

2.4 = \textcolor{#0b5c56}{\frac{12}{5} = 2\frac{2}{5}}

2.4 as a fraction is 12/5, or 2 2/5 as a mixed number.

Mixed number: \displaystyle 2\frac{2}{5}
Percent: 240%

Step-by-step solution

The problem

2.4

Write the digits over 10. 2.4 has 1 decimal place, so put the digits (without the point) over 1 followed by 1 zero.
= \textcolor{#0b5c56}{\frac{24}{10}}
Simplify. List the factors of each:
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 10: 1, 2, 5, 10
The greatest common factor (GCF) is 2. Divide the top and bottom by 2.
= \frac{24 \div 2}{10 \div 2} = \textcolor{#0b5c56}{\frac{12}{5}}
Write it as a mixed number. 12 ÷ 5 = 2 remainder 2: the whole number is 2 and 2 is the new numerator.
12 \div 5 = 2\ \text{R}\ 2
= \textcolor{#0b5c56}{2\frac{2}{5}}

All the working together

\begin{aligned} &2.4 \\[8pt]  &= \frac{24}{10} && \textcolor{#5b6660}{\textsf{over 10}} \\[8pt]  &= \frac{24 \div 2}{10 \div 2} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt]  &= \frac{12}{5} \\[8pt]  &= \textcolor{#0b5c56}{2\frac{2}{5}} && \textcolor{#5b6660}{\textsf{mixed number}}\end{aligned}

2.4 in other forms

Fraction (simplest form)	12/5
Mixed number	2 2/5
Before simplifying	24/10
Percent	240%
The other way	12/5 as a decimal

Nearby decimals as fractions

Decimal	Fraction	Percent
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%
2.5	5/2	250%
2.55	51/20	255%
2.6	13/5	260%
2.65	53/20	265%

Frequently asked questions

What is 2.4 as a fraction?

2.4 as a fraction is 12/5, or 2 2/5 as a mixed number. 2.4 has 1 decimal place, so write the digits over 10: 24/10. Divide the top and bottom by 2 (their greatest common factor) to get 12/5.

What is 2.4 as a percent?

2.4 is 240%: multiply by 100 (move the decimal point two places to the right).

Is 12/5 the simplest form?

Yes. 12 and 5 have no common factor other than 1, because the greatest common factor 2 was divided out of 24/10.

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.