0.48 as a Fraction

0.48 as a fraction is 12/25 in simplest form, which is 48%.

Result

Answer

0.48 = \textcolor{#0b5c56}{\frac{12}{25}}

0.48 as a fraction is 12/25.

  • Percent: 48%
0112/25

Step-by-step solution

The problem

0.48

  1. Write the digits over 100. 0.48 has 2 decimal places, so put the digits (without the point) over 1 followed by 2 zeros.

    = \textcolor{#0b5c56}{\frac{48}{100}}

  2. Simplify. Write both as prime factors:\begin{aligned} 48 &= 2^{4} \times 3 \\[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{48 \div 4}{100 \div 4} = \textcolor{#0b5c56}{\frac{12}{25}}

All the working together

\begin{aligned} &0.48 \\[8pt] &= \frac{48}{100} && \textcolor{#5b6660}{\textsf{over 100}} \\[8pt] &= \frac{48 \div 4}{100 \div 4} && \textcolor{#5b6660}{\textsf{simplify}} \\[8pt] &= \textcolor{#0b5c56}{\frac{12}{25}}\end{aligned}

0.48 in other forms

Fraction (simplest form)12/25
Before simplifying48/100
Percent48%
The other way12/25 as a decimal

Nearby decimals as fractions

DecimalFractionPercent
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%
0.5213/2552%
0.5353/10053%

Frequently asked questions

What is 0.48 as a fraction?

0.48 as a fraction is 12/25. 0.48 has 2 decimal places, so write the digits over 100: 48/100. Divide the top and bottom by 4 (their greatest common factor) to get 12/25.

What is 0.48 as a percent?

0.48 is 48%: multiply by 100 (move the decimal point two places to the right).

Is 12/25 the simplest form?

Yes. 12 and 25 have no common factor other than 1, because the greatest common factor 4 was divided out of 48/100.

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.