3.5 as a Fraction – 7/2 (3 1/2), with Steps

Q: What is 3.5 as a fraction?

3.5 as a fraction is 7/2, or 3 1/2 as a mixed number. 3.5 has 1 decimal place, so write the digits over 10: 35/10. Divide the top and bottom by 5 (their greatest common factor) to get 7/2.

Q: What is 3.5 as a percent?

3.5 is 350%: multiply by 100 (move the decimal point two places to the right).

3.5 as a Fraction

3.5 as a fraction is 7/2, or 3 1/2 as a mixed number.

Result

Answer

3.5 = \textcolor{#0b5c56}{\frac{7}{2} = 3\frac{1}{2}}

3.5 as a fraction is 7/2, or 3 1/2 as a mixed number.

Mixed number: \displaystyle 3\frac{1}{2}
Percent: 350%

Step-by-step solution

The problem

3.5

Write the digits over 10. 3.5 has 1 decimal place, so put the digits (without the point) over 1 followed by 1 zero.
= \textcolor{#0b5c56}{\frac{35}{10}}
Simplify. List the factors of each:
Factors of 35: 1, 5, 7, 35
Factors of 10: 1, 2, 5, 10
The greatest common factor (GCF) is 5. Divide the top and bottom by 5.
= \frac{35 \div 5}{10 \div 5} = \textcolor{#0b5c56}{\frac{7}{2}}
Write it as a mixed number. 7 ÷ 2 = 3 remainder 1: the whole number is 3 and 1 is the new numerator.
7 \div 2 = 3\ \text{R}\ 1
= \textcolor{#0b5c56}{3\frac{1}{2}}

All the working together

\begin{aligned} &3.5 \\[8pt]  &= \frac{35}{10} && \textcolor{#5b6660}{\textsf{over 10}} \\[8pt]  &= \frac{35 \div 5}{10 \div 5} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt]  &= \frac{7}{2} \\[8pt]  &= \textcolor{#0b5c56}{3\frac{1}{2}} && \textcolor{#5b6660}{\textsf{mixed number}}\end{aligned}

3.5 in other forms

Fraction (simplest form)	7/2
Mixed number	3 1/2
Before simplifying	35/10
Percent	350%

Nearby decimals as fractions

Decimal	Fraction	Percent
3.25	13/4	325%
3.3	33/10	330%
3.35	67/20	335%
3.4	17/5	340%
3.45	69/20	345%
3.5	7/2	350%
3.55	71/20	355%
3.6	18/5	360%
3.65	73/20	365%
3.7	37/10	370%
3.75	15/4	375%

Frequently asked questions

What is 3.5 as a fraction?

3.5 as a fraction is 7/2, or 3 1/2 as a mixed number. 3.5 has 1 decimal place, so write the digits over 10: 35/10. Divide the top and bottom by 5 (their greatest common factor) to get 7/2.

What is 3.5 as a percent?

3.5 is 350%: multiply by 100 (move the decimal point two places to the right).

Is 7/2 the simplest form?

Yes. 7 and 2 have no common factor other than 1, because the greatest common factor 5 was divided out of 35/10.

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.