3.4 as a Fraction

3.4 as a fraction is 17/5, or 3 2/5 as a mixed number.

Result

Answer

3.4 = \textcolor{#0b5c56}{\frac{17}{5} = 3\frac{2}{5}}

3.4 as a fraction is 17/5, or 3 2/5 as a mixed number.

  • Mixed number: \displaystyle 3\frac{2}{5}
  • Percent: 340%
343 2/5

Step-by-step solution

The problem

3.4

  1. Write the digits over 10. 3.4 has 1 decimal place, so put the digits (without the point) over 1 followed by 1 zero.

    = \textcolor{#0b5c56}{\frac{34}{10}}

  2. Simplify. List the factors of each:
    Factors of 34: 1, 2, 17, 34
    Factors of 10: 1, 2, 5, 10
    The greatest common factor (GCF) is 2. Divide the top and bottom by 2.

    = \frac{34 \div 2}{10 \div 2} = \textcolor{#0b5c56}{\frac{17}{5}}

  3. Write it as a mixed number. 17 ÷ 5 = 3 remainder 2: the whole number is 3 and 2 is the new numerator.

    17 \div 5 = 3\ \text{R}\ 2
    = \textcolor{#0b5c56}{3\frac{2}{5}}

All the working together

\begin{aligned} &3.4 \\[8pt] &= \frac{34}{10} && \textcolor{#5b6660}{\textsf{over 10}} \\[8pt] &= \frac{34 \div 2}{10 \div 2} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt] &= \frac{17}{5} \\[8pt] &= \textcolor{#0b5c56}{3\frac{2}{5}} && \textcolor{#5b6660}{\textsf{mixed number}}\end{aligned}

3.4 in other forms

Fraction (simplest form)17/5
Mixed number3 2/5
Before simplifying34/10
Percent340%

Nearby decimals as fractions

DecimalFractionPercent
3.1563/20315%
3.216/5320%
3.2513/4325%
3.333/10330%
3.3567/20335%
3.417/5340%
3.4569/20345%
3.57/2350%
3.5571/20355%
3.618/5360%
3.6573/20365%

Frequently asked questions

What is 3.4 as a fraction?

3.4 as a fraction is 17/5, or 3 2/5 as a mixed number. 3.4 has 1 decimal place, so write the digits over 10: 34/10. Divide the top and bottom by 2 (their greatest common factor) to get 17/5.

What is 3.4 as a percent?

3.4 is 340%: multiply by 100 (move the decimal point two places to the right).

Is 17/5 the simplest form?

Yes. 17 and 5 have no common factor other than 1, because the greatest common factor 2 was divided out of 34/10.

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.