0.84 as a Fraction

0.84 as a fraction is 21/25 in simplest form, which is 84%.

Result

Answer

0.84 = \textcolor{#0b5c56}{\frac{21}{25}}

0.84 as a fraction is 21/25.

  • Percent: 84%
0121/25

Step-by-step solution

The problem

0.84

  1. Write the digits over 100. 0.84 has 2 decimal places, so put the digits (without the point) over 1 followed by 2 zeros.

    = \textcolor{#0b5c56}{\frac{84}{100}}

  2. Simplify. Write both as prime factors:\begin{aligned} 84 &= 2^{2} \times 3 \times 7 \\[6pt] 100 &= 2^{2} \times 5^{2} \end{aligned}The factors they share give the greatest common factor (GCF): \displaystyle 2^{2} = 4. Divide the top and bottom by 4.

    = \frac{84 \div 4}{100 \div 4} = \textcolor{#0b5c56}{\frac{21}{25}}

All the working together

\begin{aligned} &0.84 \\[8pt] &= \frac{84}{100} && \textcolor{#5b6660}{\textsf{over 100}} \\[8pt] &= \frac{84 \div 4}{100 \div 4} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt] &= \textcolor{#0b5c56}{\frac{21}{25}}\end{aligned}

0.84 in other forms

Fraction (simplest form)21/25
Before simplifying84/100
Percent84%
The other way21/25 as a decimal

Nearby decimals as fractions

DecimalFractionPercent
0.7979/10079%
0.84/580%
0.8181/10081%
0.8241/5082%
0.8383/10083%
0.8421/2584%
0.8517/2085%
0.8643/5086%
0.8787/10087%
0.8822/2588%
0.8989/10089%

Frequently asked questions

What is 0.84 as a fraction?

0.84 as a fraction is 21/25. 0.84 has 2 decimal places, so write the digits over 100: 84/100. Divide the top and bottom by 4 (their greatest common factor) to get 21/25.

What is 0.84 as a percent?

0.84 is 84%: multiply by 100 (move the decimal point two places to the right).

Is 21/25 the simplest form?

Yes. 21 and 25 have no common factor other than 1, because the greatest common factor 4 was divided out of 84/100.

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.