0.45 as a Fraction

0.45 as a fraction is 9/20 in simplest form, which is 45%.

Result

Answer

0.45 = \textcolor{#0b5c56}{\frac{9}{20}}

0.45 as a fraction is 9/20.

  • Percent: 45%
019/20

Step-by-step solution

The problem

0.45

  1. Write the digits over 100. 0.45 has 2 decimal places, so put the digits (without the point) over 1 followed by 2 zeros.

    = \textcolor{#0b5c56}{\frac{45}{100}}

  2. Simplify. Write both as prime factors:\begin{aligned} 45 &= 3^{2} \times 5 \\[6pt] 100 &= 2^{2} \times 5^{2} \end{aligned}The only factor they share is 5, so the greatest common factor (GCF) is 5. Divide the top and bottom by 5.

    = \frac{45 \div 5}{100 \div 5} = \textcolor{#0b5c56}{\frac{9}{20}}

All the working together

\begin{aligned} &0.45 \\[8pt] &= \frac{45}{100} && \textcolor{#5b6660}{\textsf{over 100}} \\[8pt] &= \frac{45 \div 5}{100 \div 5} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt] &= \textcolor{#0b5c56}{\frac{9}{20}}\end{aligned}

0.45 in other forms

Fraction (simplest form)9/20
Before simplifying45/100
Percent45%
The other way9/20 as a decimal

Nearby decimals as fractions

DecimalFractionPercent
0.42/540%
0.4141/10041%
0.4221/5042%
0.4343/10043%
0.4411/2544%
0.459/2045%
0.4623/5046%
0.4747/10047%
0.4812/2548%
0.4949/10049%
0.51/250%

Frequently asked questions

What is 0.45 as a fraction?

0.45 as a fraction is 9/20. 0.45 has 2 decimal places, so write the digits over 100: 45/100. Divide the top and bottom by 5 (their greatest common factor) to get 9/20.

What is 0.45 as a percent?

0.45 is 45%: multiply by 100 (move the decimal point two places to the right).

Is 9/20 the simplest form?

Yes. 9 and 20 have no common factor other than 1, because the greatest common factor 5 was divided out of 45/100.

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.