0.46 as a Fraction

0.46 as a fraction is 23/50 in simplest form, which is 46%.

Result

Answer

0.46 = \textcolor{#0b5c56}{\frac{23}{50}}

0.46 as a fraction is 23/50.

  • Percent: 46%
0123/50

Step-by-step solution

The problem

0.46

  1. Write the digits over 100. 0.46 has 2 decimal places, so put the digits (without the point) over 1 followed by 2 zeros.

    = \textcolor{#0b5c56}{\frac{46}{100}}

  2. Simplify. Write both as prime factors:\begin{aligned} 46 &= 2 \times 23 \\[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{46 \div 2}{100 \div 2} = \textcolor{#0b5c56}{\frac{23}{50}}

All the working together

\begin{aligned} &0.46 \\[8pt] &= \frac{46}{100} && \textcolor{#5b6660}{\textsf{over 100}} \\[8pt] &= \frac{46 \div 2}{100 \div 2} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt] &= \textcolor{#0b5c56}{\frac{23}{50}}\end{aligned}

0.46 in other forms

Fraction (simplest form)23/50
Before simplifying46/100
Percent46%
The other way23/50 as a decimal

Nearby decimals as fractions

DecimalFractionPercent
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%
0.5151/10051%

Frequently asked questions

What is 0.46 as a fraction?

0.46 as a fraction is 23/50. 0.46 has 2 decimal places, so write the digits over 100: 46/100. Divide the top and bottom by 2 (their greatest common factor) to get 23/50.

What is 0.46 as a percent?

0.46 is 46%: multiply by 100 (move the decimal point two places to the right).

Is 23/50 the simplest form?

Yes. 23 and 50 have no common factor other than 1, because the greatest common factor 2 was divided out of 46/100.

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.