0.98 as a Fraction

0.98 as a fraction is 49/50 in simplest form, which is 98%.

Result

Answer

0.98 = \textcolor{#0b5c56}{\frac{49}{50}}

0.98 as a fraction is 49/50.

  • Percent: 98%
0149/50

Step-by-step solution

The problem

0.98

  1. Write the digits over 100. 0.98 has 2 decimal places, so put the digits (without the point) over 1 followed by 2 zeros.

    = \textcolor{#0b5c56}{\frac{98}{100}}

  2. Simplify. Write both as prime factors:\begin{aligned} 98 &= 2 \times 7^{2} \\[6pt] 100 &= 2^{2} \times 5^{2} \end{aligned}The only factor they share is 2, so the greatest common factor (GCF) is 2. Divide the top and bottom by 2.

    = \frac{98 \div 2}{100 \div 2} = \textcolor{#0b5c56}{\frac{49}{50}}

All the working together

\begin{aligned} &0.98 \\[8pt] &= \frac{98}{100} && \textcolor{#5b6660}{\textsf{over 100}} \\[8pt] &= \frac{98 \div 2}{100 \div 2} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt] &= \textcolor{#0b5c56}{\frac{49}{50}}\end{aligned}

0.98 in other forms

Fraction (simplest form)49/50
Before simplifying98/100
Percent98%
The other way49/50 as a decimal

Nearby decimals as fractions

DecimalFractionPercent
0.8989/10089%
0.99/1090%
0.9191/10091%
0.9223/2592%
0.9393/10093%
0.9447/5094%
0.9519/2095%
0.9624/2596%
0.9797/10097%
0.9849/5098%
0.9999/10099%

Frequently asked questions

What is 0.98 as a fraction?

0.98 as a fraction is 49/50. 0.98 has 2 decimal places, so write the digits over 100: 98/100. Divide the top and bottom by 2 (their greatest common factor) to get 49/50.

What is 0.98 as a percent?

0.98 is 98%: multiply by 100 (move the decimal point two places to the right).

Is 49/50 the simplest form?

Yes. 49 and 50 have no common factor other than 1, because the greatest common factor 2 was divided out of 98/100.

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.